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A partitioned finite element method for power-preserving discretization of open systems of conservation laws IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-12-28 Flávio Luiz Cardoso-Ribeiro; Denis Matignon; Laurent Lefèvre
This paper presents a structure-preserving spatial discretization method for distributed parameter port-Hamiltonian systems. The class of considered systems are hyperbolic systems of two conservation laws in arbitrary spatial dimension and geometries. For these systems, a partitioned finite element method (PFEM) is derived, based on the integration by parts of one of the two conservation laws written
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Solving multiobjective optimal control problems using an improved scalarization method IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-10-12 Gholam Hosein Askarirobati; Akbar Hashemi Borzabadi; Aghileh Heydari
Detecting the Pareto optimal points on the Pareto frontier is one of the most important topics in multiobjective optimal control problems (MOCPs). This paper presents a scalarization technique to construct an approximate Pareto frontier of MOCPs, using an improved normal boundary intersection (NBI) scalarization strategy. For this purpose, MOCP is first discretized and then using a grid of weights
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Exponential stabilization of an ODE–linear KdV cascaded system with boundary input delay IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-09-23 Ayadi H.
AbstractThis paper considers the well posedness and the exponential stabilization problems of a cascaded ordinary differential equation (ODE)–partial differential equation (PDE) system. The considered system is governed by a linear ODE and the one-dimensional linear Korteweg–de Vries (KdV) equation posed on a bounded interval. For the whole system, a control input delay acts on the left boundary of
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Feedback control based on discrete-time state observations for stabilization of coupled regime-switching jump diffusion with Markov switching topologies IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-08-18 Wu Y, Pi H, Li W.
AbstractIn this paper, the stabilization of coupled regime-switching jump diffusion with Markov switching topologies (CRJDM) is discussed. Particularly, we remove the restrictions that each of the switching subnetwork topologies is strongly connected or contains a directed spanning tree. Furthermore, a feedback control based on discrete-time state observations is proposed to make the CRJDM asymptotically
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Twenty years of distributed port-Hamiltonian systems: a literature review IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-07-28 Rashad R, Califano F, van der Schaft A, et al.
AbstractThe port-Hamiltonian (pH) theory for distributed parameter systems has developed greatly in the past two decades. The theory has been successfully extended from finite-dimensional to infinite-dimensional systems through a lot of research efforts. This article collects the different research studies carried out for distributed pH systems. We classify over a hundred and fifty studies based on
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Boundary feedback control of an anti-stable wave equation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-07-28 APKARIAN P, NOLL D.
AbstractWe discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_{\infty }$-output feedback controllers that stabilize the infinite-dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slip-stick.
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Port-Hamiltonian model of two-dimensional shallow water equations in moving containers IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-07-28 Cardoso-Ribeiro F, Matignon D, Pommier-Budinger V.
AbstractThe free surface motion in moving containers is an important physical phenomenon for many engineering applications. One way to model the free surface motion is by employing shallow water equations (SWEs). The port-Hamiltonian systems formulation is a powerful tool that can be used for modeling complex systems in a modular way. In this work, we extend previous work on SWEs using the port-Hamiltonian
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Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-07-27 Gay-Balmaz F, Yoshimura H.
AbstractThe notion of implicit port-Lagrangian systems for nonholonomic mechanics was proposed in Yoshimura & Marsden (2006a, J. Geom. Phys., 57, 133–156; 2006b, J. Geom. Phys., 57, 209–250; 2006c, Proc. of the 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto) as a Lagrangian analogue of implicit port-Hamiltonian systems. Such port-systems have an interconnection structure
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Optimal robustness of passive discrete-time systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-07-14 Mehrmann V, Van Dooren P.
AbstractWe study different representations of a given rational transfer function that represents a passive (or positive real) discrete-time system. When the system is subject to perturbations, passivity or stability may be lost. To make the system robust, we use the freedom in the representation to characterize and construct optimally robust representations in the sense that the distance to non-passivity
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Multi-path Allocation Scheduling Optimization Algorithm for Network Data Traffic Based on SDN Architecture IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-05-29 Lu L.
AbstractThe explosive growth of network data traffic puts new demands on traffic scheduling. In this paper, the scheduling algorithm based on the software-defined network (SDN) architecture is studied. Firstly, the SDN architecture was introduced, then an SDN-based adaptive multi-path load balancing algorithm was proposed and finally the algorithm was simulated on the Mininet simulation platform to
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State feedback observer-based control design for linear descriptor systems with multiple time-varying delays IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-05-13 Phat V, Niamsup P, Muoi N.
AbstractIn this paper, we propose an linear matrix inequality (LMI)-based design method to observer-based control problem of linear descriptor systems with multiple time-varying delays. The delay function can be continuous and bounded but not necessarily differentiable. First, by introducing a new set of improved Lyapunov–Krasovskii functionals that avoid calculating the derivative of the delay function
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An inverse optimal approach to ship course-keeping control IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-04-14 Wang C, Yan C, Liu Z, et al.
AbstractThis paper deals with the ship course tracking control problem in a novel inverse optimal control approach. The inverse optimal stabilization problem and inverse optimal gain assignment problem are firstly extended to general systems affine in the control with unknown control gain. It is shown that a sufficient condition to solve the inverse optimal control problem is the existence of a stabilization
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Bias reduction in the estimation of diffusion processes from discrete observations IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-09-11 Juan Carlos Jimenez
This work deals with the bias reduction of approximations to two known estimators of diffusion processes from discrete observations: the innovation and quasi-maximum likelihood estimators. The bias reduction is obtained by means of convergent approximations to the predictions for the first two moments of the innovation process associated to a continuous-discrete filter of minimum variance. For finite
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Error-based output tracking for a one-dimensional wave equation with harmonic type disturbance IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-08-13 Ziqing Tian; Xiao-Hui Wu
In this paper, we consider output tracking for a one-dimensional wave equation, where the boundary disturbances are either collocated or non-collocated with control. The regulated output and the control are supposed to be non-collocated with control, which represents a difficult case for output tracking of PDEs. We apply the trajectory planning approach to design an observer, in terms of tracking error
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Robust finite-time H∞ control of switched non-linear neutral systems in the presence of multiple disturbances using auxiliary matrices IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-07-21 Hadi Gholami; Mohammad Hossein Shafiei
This paper focuses on finite-time boundedness (FTB) of a class of switched non-linear neutral systems in the presence of multiple disturbances. Based on Lyapunov analysis, Finsler’s lemma and the average dwell-time concept, sufficient conditions are extracted to guarantee the FTB of the system. Using these sufficient conditions, finite-time |${H}_{\infty }$| controllers are designed via state feedback
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Corrigendum: An inverse optimal approach to ship course-keeping control IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-05-20 Chuanrui Wang; Chuanxu Yan; Zhenchong Liu; Feng Cao
AbstractThe model under consideration in this paper describes a vibrating structure of an interfacial slip and consists of three coupled hyperbolic equations in one-dimensional bounded interval under mixed homogeneous Dirichlet–Neumann boundary conditions. The first two equations are related to Timoshenko-type systems and the third one is subject to the dynamics of the slip. The main problem we discuss
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Robust integrated covariance intersection fusion Kalman estimators for networked mixed uncertain time-varying systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-05-13 Yuan Gao; Zili Deng
For the multisensor time-varying networked mixed uncertain systems with random one-step sensor delays and uncertain-variance multiplicative and linearly dependent additive white noises, a new augmented state method with fictitious noises is presented, by which the original system is transformed into a standard system without delays and with uncertain-variance fictitious white noises. According to the
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Controllability results of fractional integro-differential equation with non-instantaneous impulses on time scales IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-05-08 Vipin Kumar; Muslim Malik
In this work, we investigate the controllability results of a fractional integro-differential equation with non-instantaneous impulses on time scales. Banach contraction theorem and the non-linear functional analysis have been used to establish these results. In support, a numerical example with simulation for different time scales is given to validate the obtained analytical outcomes.
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Approximate controllability of second order nonlocal neutral differential evolution inclusions IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-04-16 V Vijayakumar; R Udhayakumar; C Dineshkumar
In our manuscript, we organize a group of sufficient conditions of approximate controllability for second order nonlocal neutral differential evolution inclusions. Next, we develop the result to analyze approximate controllability of impulsive systems. Lastly, a model is presented for illustration of theory.
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Robust exponential synchronization of a Markovian jump complex dynamical network with piecewise homogeneous Markovian parameters IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-04-07 Nasim Akbari; Ali Sadr; Ali Kazemy
This paper establishes a stochastic synchronization method for a Markovian jump complex dynamical network (MJCDN) with time-delay and uncertainties. The considered Markovian structure is piecewise-homogeneous with piecewise-constant time-varying transition rates (TRs). Two Markovian signals are utilized to construct the piecewise-homogeneous Markovian structure. A low-level Markovian signal with time-varying
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A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2020-02-05 Roberto Andreani; Valeriano Antunes de Oliveira; Jamielli Tomaz Pereira; Geraldo Nunes Silva
Necessary optimality conditions for optimal control problems with mixed state-control equality constraints are obtained. The necessary conditions are given in the form of a weak maximum principle and are obtained under (i) a new regularity condition for problems with mixed linear equality constraints and (ii) a constant rank type condition for the general non-linear case. Some instances of problems
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Iterative-learning procedures for nonlinear-model-order reduction in discrete time IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-12-11 Salim Ibrir
Efficient numerical procedures are developed for model-order reduction of a class of discrete-time nonlinear systems. Based on the solution of a set of linear-matrix inequalities, the Petrov–Galerkin projection concept is utilized to set up the structure of the reduced-order nonlinear model that preserves the input-to-state stability while ensuring an acceptable approximation error. The first numerical
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Cooperative optimal control for descriptor multi-agent systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-12-04 Liping Zhang; Guoshan Zhang
This paper provides a theory analysis of cooperative optimal control problem for leader-follower descriptor multi-agent systems. Based on the linear quadratic regulator theory, the state feedback controller is designed to guarantee the consensus of multi-agent systems and minimize a local performance index, which is independent of the graph topology, the control gain matrix is obtained by solving a
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Event-triggered Hꝏ control for NCS with time-delay and packet losses IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-12-03 Jing Bai; Ying Wang; Li-Ying Zhao
This paper is concerned with the discrete event-triggered dynamic output-feedback |${H}_{\infty }$| control problem for the uncertain networked control system, where the time-varying sampling, network-induced delay and packet losses are taken into account simultaneously. The random packet losses are described via the Bernoulli distribution. And then, the closed-loop system is modelled as an augmented
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Asymptotic stabilization for a wave equation with periodic disturbance IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-11-28 Jing Wei; Hongyinping Feng; Bao-Zhu Guo
In this paper, we consider boundary stabilization for a one-dimensional wave equation subject to periodic disturbance. By regarding the periodic signal as a boundary output of a free wave equation, we transform the controlled plant into a coupled wave system. We first design a state observer for the coupled system to estimate the disturbance and the system state simultaneously. An output feedback control
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Control of bounded solutions for first-order singular differential equations with impulses IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-11-18 Fanchao Kong; Juan J Nieto
This paper is concerned with a kind of first-order singular differential system with impulses. Based on the Schaefer fixed-point theorem, some new verifiable algebraic criteria are given to ensure the controllability of bounded solutions for the considered system. The results obtained in this paper not only achieve the controllability of the singular differential system with impulses for the first
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Robust regional stabilization for the two-dimensional mixed continuous-discrete-time Roesser models IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-11-14 Xiang Ren; Fei Hao
This paper addressed the problem of asymptotic regional stabilization of a class of two-dimensional mixed Roesser models. Based on the analysis of the polynomial solution of the parameter dependent linear matrix inequality (LMI), the sufficient condition for the existence of the regional stabilization controller is obtained in terms of LMI. Moreover, the robust controller is also given to stabilize
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Input–output linearization of non-linear time-varying delay systems: the single-input single-output case IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-11-14 Ihab Haidar; Florentina Nicolau; Jean-Pierre Barbot; Woihida Aggoune
This paper deals with the input–output linearization of non-linear time-varying delay systems. We introduce an extension of the Lie derivative for time-varying delay systems and derive sufficient conditions for the existence of a causal and bounded non-linear feedback linearizing the input–output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization
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Finite-time stabilization of stochastic coupled systems on networks by feedback control and its application IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-11-07 Yongbao Wu; Wenxue Li; Jiqiang Feng
In this paper, the finite-time stabilization of stochastic coupled systems on networks (SCSNs) is studied. Different from previous research methods, the method used in this paper combines Lyapunov method with graph theory, and some novel sufficient conditions are obtained to ensure finite-time stability for SCSNs. Meanwhile, the convergence time is closely related to topological structure in networks
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Data-sampling controllability of multi-agent systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-10-15 Bin Zhao; Yongqiang Guan
In this paper, we consider data-sampling controllability of multi-agent systems (MASs), where the interconnection topology is directed and weighted and the nodes have generic linear kinetic dynamics. First, the asynchronous data sampling protocols and synchronous data sampling protocols are proposed, respectively. Then the discussions focus on deriving the necessary and sufficient conditions for data-sampling
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Controllability criteria of fractional differential dynamical systems with non-instantaneous impulses IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-10-15 B Sundara Vadivoo; R Raja; Jinde Cao; G Rajchakit; Aly R Seadawy
This manuscript prospects the controllability criteria of non-instantaneous impulsive Volterra type fractional differential systems. By enroling an appropriate Gramian matrix that is often defined by the Mittag-Leffler function and with the assistance of Laplace transform, the necessary and sufficiency conditions for the controllability of non-instantaneous impulsive Volterra-type fractional differential
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Finite-time terminal synergetic control of a class of nonlinear systems with unmatched uncertainties IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-10-10 Azadeh Ahifar; Abolfazl Ranjbar Noei; Zahra Rahmani
In this paper, the problem of finite-time tracking for nth-order uncertain nonlinear systems with unmatched uncertainties is addressed. Using a terminal synergetic manifold, a controller is provided to force the tracking error to the origin in finite time in the presence of unmatched uncertainties. With this method, chattering problem is completely removed without defining a new function. Lyapunov
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Boundary output feedback stabilization of transport equation with non-local term IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-09-05 Liping Wang; Feng-Fei Jin
In this paper, we are concerned with boundary output feedback stabilization of a transport equation with non-local term. First, a boundary state feedback controller is designed by a backstepping approach. The closed-loop system is proved to be exponentially stable by the equivalence between original and target system. Then, we design an output feedback controller based on an infinite-dimensional observer
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On the exact modelling of linear systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-08-29 Georgia G Pechlivanidou; Nicholas P Karampetakis
It is well known that given the continuous-time AutoRegressive representation |$A\left ( \rho \right ) \beta \left ( t\right ) =0,$| where |$\rho $| denotes the differential operator and |$A\left ( \rho \right ) $| a regular polynomial matrix, we can always construct the smooth behaviour of this system, by using the finite zero structure of |$A\left ( \rho \right ) $|. The main theme of this work
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Stochastic boundedness of state trajectories of stable LTI systems in the presence of non-vanishing stochastic perturbation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-08-27 Peyman Azodi; Peyman Setoodeh; Alireza Khayatian; Elham Jamalinia
This paper studies stochastic boundedness of trajectories of a non-vanishing stochastically perturbed stable linear time-invariant system. First, two definitions on stochastic boundedness are presented, then, the boundedness is analyzed via Lyapunov theory. A theorem is proposed, which shows that under a condition on the Lipchitz constant of the perturbation kernel, the trajectories remain stochastically
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Dynamic backstepping control for pure-feedback non-linear systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-08-14 Sheng Zhang; En-Mi Yong; Yu Zhou; Wei-Qi Qian
A dynamic backstepping control method is proposed for non-linear systems in the pure-feedback form, for which the traditional backstepping method suffers from solving the implicit non-linear algebraic equation. This method treats the implicit algebraic equation directly via a dynamic way, by augmenting the (virtual) controls as states during each recursive step. Compared with the traditional backstepping
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Multi-dimensional Taylor network modelling and optimal control of SISO nonlinear systems for tracking by output feedback IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-07-19 Qi-Ming Sun; Hong-Sen Yan
In this paper, a multi-dimensional Taylor network (MTN) output feedback tracking control of nonlinear single-input single-output (SISO) systems in discrete-time form is studied. To date, neural networks are generally used to identify unknown nonlinear systems. However, the neuron of neural networks includes the exponential function, which contributes to the complexity of calculation, making the neural
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Asynchronous repetitive control of switched systems via periodic event-based dynamic output feedback IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-07-11 Guoqi Ma; Xinghua Liu; Prabhakar R Pagilla; Shuzhi Sam Ge
This paper develops an asynchronous mode-dependent repetitive control strategy with periodic event-based dynamic output feedback for periodic trajectory tracking of continuous-time switched systems subject to time-varying switching delays between system modes and controllers and limited communication capacity in the feedback channel. By employing the input delay approach, the overall system is modelled
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Second-order consensus of multi-agent systems with mixed delays and uncertain parameters via adaptive pinning aperiodically intermittent control IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-07-04 Boling Zhou; Yongqing Yang; Xianyun Xu
This paper investigates the second-order consensus of multi-agent systems with mixed delays and uncertain parameters. On one hand, an adaptive pinning aperiodically intermittent control protocol is designed to make multi-agent systems reach the second-order consensus. Moreover, the intermittent control protocol can be designed to be aperiodic, which means each agent can only obtain the relative states’
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Linear algebra-based controller for trajectory tracking in mobile robots with additive uncertainties estimation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-05-21 G J E Scaglia; M E Serrano; S A Godoy; F Rossomando
This paper addresses trajectory tracking problem in mobile robots considering additive uncertainties. The controller design method is based on linear algebra theory. Numerical estimation techniques are used to estimate the uncertainty value in each sample time. The controller is calibrated by stochastic way using the Monte Carlo Experiment. In addition, the proof of convergence to zero of the tracking
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An implicit class of continuous dynamical system with data-sample outputs: a robust approach IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-05-21 Raymundo Juarez; Vadim Azhmyakov; A Tadeo Espinoza; Francisco G Salas
This paper addresses the problem of robust control for a class of nonlinear dynamical systems in the continuous time domain. We deal with nonlinear models described by differential-algebraic equations (DAEs) in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear sampling-type outputs. The linear feedback control design proposed in this
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Uniform continuity and delay robustness of an adaptive controller for Lagrangian systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-04-29 Kim-Doang Nguyen
This paper presents a method based on a continuity argument for analysing the delay robustness of nonlinear control systems with uncertainties. In particular, a delay-dependent stability condition is established in the form of a norm inequality for an adaptive control system with a time delay in the control input. The continuous dependence of the condition on the delay is derived via the uniform continuity
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Consensus control of singular multi-agent systems based on iterative learning approach IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-04-23 Panpan Gu; Senping Tian
In this paper, the iterative learning control technique is applied for singular multi-agent systems to perform consensus tracking. Here, the communication among the followers is described by a directed graph, and only a portion of the followers can receive the leader’s information. Based on the equivalent restrict decomposition form of singular agents, a unified distributed learning algorithm is proposed
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Discrete-time sliding mode control for a class of nonlinear process IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-04-10 Luning Ma; Dongya Zhao; Shuzhan Zhang; Jiehua Feng; Lei Cao
The efficient control of nonlinear processes is generally considered to be challenging. The development of digital computers promotes the study of nonlinear process control technology. Due to the discrete sampling of digital computer, it is necessary to develop the corresponding control algorithms for nonlinear processes. In this paper, a new equivalent control-based discrete-time sliding mode control
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Adaptive control parameterization method by density functions for optimal control problems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-04-01 Nastaran Ejlali; Seyed Mohammad Hosseini
This paper proposes an efficient adaptive control parameterization method for solving optimal control problems. In this method, mesh density functions are used to generate mesh points. In the first step, the problem is solved by control parameterization on uniform mesh points. Then at each step, the approximate control obtained from the previous step is applied to construct a mesh density function
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A new unbiased minimum variance observer for stochastic LTV systems with unknown inputs IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-03-20 Luc Meyer; Dalil Ichalal; Vincent Vigneron
This paper is devoted to the state and input estimation of a linear time varying system in the presence of an unknown input (UI) in both state and measurement equations, and affected by Gaussian noises. The classical rank condition used in this kind of approach is relaxed in order to be able to be used in a wider range of systems. A state observer, that is an unbiased estimator with minimum error variance
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A Lyapunov-based design of dynamic feedback compensator for linear parabolic MIMO PDEs IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-03-19 Ya-Qiang Liu; Jun-Wei Wang; Chang-Yin Sun
This paper discusses dynamic feedback compensator design for a linear parabolic partial differential equation (PDE) with multiple inputs and multiple outputs. Actuating control inputs are provided by actuators distributed over partial areas (or active at specified positions) of the spatial domain, and observation outputs are taken from the non-collocated sensors distributed over partial areas of the
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Constrained controllability of second order retarded nonlinear systems with nonlocal condition IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-03-13 Suman Kumar; R Sakthivel
In this paper, the constrained controllability of the second order retarded nonlinear systems with nonlocal condition has been established by using the theory of cosine families and the generalized open mapping theorem. A new set of sufficient conditions for the constrained controllability of retarded nonlinear systems is established under the assumption that the associated linear system is controllable
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Robust mixed H2 and passive switching control for uncertain discrete switched systems with time delay IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-02-22 Chang-Hua Lien; Ker-Wei Yu; Hao-Chin Chang
In this paper, the problem of mixed |${H}_2$| and passive switching control of uncertain discrete time-delay switched systems is investigated via a switching signal selection. Lyapunov theory with Wirtinger inequality is applied to guarantee the mixed performance for discrete switched time-delay system. The used Linear Matrix Inequality variables are less than our past proposed results. Finally, the
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On sensor quantization in linear control systems: Krasovskii solutions meet semidefinite programming IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-02-20 Francesco Ferrante; Frédéric Gouaisbaut; Sophie Tarbouriech
Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous right-hand side differential equation, Krasovskii solutions (to the closed-loop system) are considered. Sufficient conditions in the form of matrix inequalities are proposed to characterize uniform global asymptotic stability
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Chaotic dynamics from a pseudo-linear system IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-02-07 Hamed Ghane; Alef E Sterk; Holger Waalkens
Investigating the possibility of applying techniques from linear systems theory to the setting of non-linear systems has been the focus of many papers. The pseudo-linear (PL) form representation of non-linear dynamical systems has led to the concept of non-linear eigenvalues (NEValues) and non-linear eigenvectors (NEVectors). When the NEVectors do not depend on the state vector of the system, then
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A rapid-based improvement on some mesh refinement strategies in solving optimal control problems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-02-05 Maedeh Souzban; Omid Solaymani Fard; Akbar H Borzabadi
Recently, a mesh refinement strategy is presented on pseudospectral methods for solving optimal control problems by using the relative curvature of the state approximation to choose the type of discretization change in each iteration. Nevertheless, this criterion requires a large amount of computational cost in terms of CPU time. The main goal of this paper is to draw attention to select a suitable
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Well-posedness and stability results for laminated Timoshenko beams with interfacial slip and infinite memory IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-01-28 Aissa Guesmia
The model under consideration in this paper describes a vibrating structure of an interfacial slip and consists of three coupled hyperbolic equations in one-dimensional bounded interval under mixed homogeneous Dirichlet–Neumann boundary conditions. The first two equations are related to Timoshenko-type systems and the third one is subject to the dynamics of the slip. The main problem we discuss here
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Existence, stability and controllability results of a Volterra integro-dynamic system with non-instantaneous impulses on time scales IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-01-22 Muslim Malik; Vipin Kumar
In this paper, we establish the stability and controllability results for a Volterra integro-dynamic system with non-instantaneous impulses on time scales. Banach fixed point theorem has been used to establish these results. In the last section, a numerical example is given to illustrate the effectiveness of the analytic results.
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On the practical separation principle of time-varying perturbed systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-01-17 Ines Ellouze
In this paper, we establish a separation principle in the practical sense for a class of time-varying perturbed systems satisfying some relaxed condition. Under a restriction on the term of perturbation that is bounded by the sum of a Holder continuous function and a Lipschitz function, we propose a non-linear time-varying practical observer to estimate the system states, a practical state feedback
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Stabilization of a Timoshenko beam system with a tip mass under unknown non-uniformly bounded disturbances IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-01-15 Liping Zhang; Dongyi Liu; Genqi Xu
This paper addresses the boundary stabilization problem of a Timoshenko beam system with a tip mass under the external disturbance at the control end. Applying the idea of active disturbance rejection control, time-varying high-gain observers are designed to estimate the disturbances, and continuous anti-disturbances feedback controllers are developed. By choosing a suitable time-varying function,
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On the boundary controllability of the Korteweg–de Vries equation on a star-shaped network IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-01-03 Eduardo Cerpa; Emmanuelle Crépeau; Claudia Moreno
A system of |$N$| Korteweg–de Vries equations coupled by the boundary conditions is considered in this paper. The configuration studied here is the one called star-shaped network, where the boundary inputs can act on a central node and on the |$N$| external nodes. In the literature, there is a recent result proving the exact controllability of this system by using |$(N+1)$| controls. We succeed to
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A novel model predictive control strategy for constrained and unconstrained systems in presence of disturbance IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2019-01-03 Mohammad Reza Zamani; Zahra Rahmani; Behrooz Rezaie
In this paper, a novel model predictive control (MPC) strategy is proposed for a constrained and unconstrained linearized system. Contrary to conventional MPC algorithm, which uses only predicted information, this strategy uses both predicted data and past knowledge of the process to obtain control input. In fact, at each sampling instant, the combination of all elements of control sequence with weighting
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On the explicit feedback stabilization of one-dimensional linear nonautonomous parabolic equations via oblique projections IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2018-11-28 Sérgio S Rodrigues; Kevin Sturm
In recently proposed stabilization techniques for parabolic equations, a crucial role is played by a suitable sequence of oblique projections in Hilbert spaces, onto the linear span of a suitable set of |$M$| actuators, and along the subspace orthogonal to the space spanned by ‘the’ first |$M$| eigenfunctions of the Laplacian operator. This new approach uses an explicit feedback law, which is stabilizing
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Optimal control of linear PDEs using occupation measures and SDP relaxations IMA J. Math. Control Inf. (IF 1.034) Pub Date : 2018-11-07 Victor Magron; Christophe Prieur
This paper addresses the problem of solving a class of optimal control problems (OCPs) with infinite-dimensional linear state constraints involving Riesz-spectral operators. Each instance within this class has time/control-dependent polynomial Lagrangian cost and control constraints described by polynomials. We first perform a state-mode discretization of the Riesz-spectral operator. Then we approximate