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A partitioned finite element method for powerpreserving discretization of open systems of conservation laws IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201228
Flávio Luiz CardosoRibeiro; Denis Matignon; Laurent LefèvreThis paper presents a structurepreserving spatial discretization method for distributed parameter portHamiltonian 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

Solving multiobjective optimal control problems using an improved scalarization method IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20201012
Gholam Hosein Askarirobati; Akbar Hashemi Borzabadi; Aghileh HeydariDetecting 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

Exponential stabilization of an ODE–linear KdV cascaded system with boundary input delay IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200923
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 onedimensional 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

Feedback control based on discretetime state observations for stabilization of coupled regimeswitching jump diffusion with Markov switching topologies IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200818
Wu Y, Pi H, Li W.AbstractIn this paper, the stabilization of coupled regimeswitching 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 discretetime state observations is proposed to make the CRJDM asymptotically

Twenty years of distributed portHamiltonian systems: a literature review IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200728
Rashad R, Califano F, van der Schaft A, et al.AbstractThe portHamiltonian (pH) theory for distributed parameter systems has developed greatly in the past two decades. The theory has been successfully extended from finitedimensional to infinitedimensional 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

Boundary feedback control of an antistable wave equation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200728
APKARIAN P, NOLL D.AbstractWe discuss boundary control of a wave equation with a nonlinear antidamping boundary condition. We design structured finitedimensional $H_{\infty }$output feedback controllers that stabilize the infinitedimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slipstick.

PortHamiltonian model of twodimensional shallow water equations in moving containers IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200728
CardosoRibeiro F, Matignon D, PommierBudinger 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 portHamiltonian 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 portHamiltonian

Dirac structures and variational formulation of portDirac systems in nonequilibrium thermodynamics IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200727
GayBalmaz F, Yoshimura H.AbstractThe notion of implicit portLagrangian 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 portHamiltonian systems. Such portsystems have an interconnection structure

Optimal robustness of passive discretetime systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200714
Mehrmann V, Van Dooren P.AbstractWe study different representations of a given rational transfer function that represents a passive (or positive real) discretetime 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 nonpassivity

Multipath Allocation Scheduling Optimization Algorithm for Network Data Traffic Based on SDN Architecture IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200529
Lu L.AbstractThe explosive growth of network data traffic puts new demands on traffic scheduling. In this paper, the scheduling algorithm based on the softwaredefined network (SDN) architecture is studied. Firstly, the SDN architecture was introduced, then an SDNbased adaptive multipath load balancing algorithm was proposed and finally the algorithm was simulated on the Mininet simulation platform to

State feedback observerbased control design for linear descriptor systems with multiple timevarying delays IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200513
Phat V, Niamsup P, Muoi N.AbstractIn this paper, we propose an linear matrix inequality (LMI)based design method to observerbased control problem of linear descriptor systems with multiple timevarying 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

An inverse optimal approach to ship coursekeeping control IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200414
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

Bias reduction in the estimation of diffusion processes from discrete observations IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200911
Juan Carlos JimenezThis work deals with the bias reduction of approximations to two known estimators of diffusion processes from discrete observations: the innovation and quasimaximum 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 continuousdiscrete filter of minimum variance. For finite

Errorbased output tracking for a onedimensional wave equation with harmonic type disturbance IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200813
Ziqing Tian; XiaoHui WuIn this paper, we consider output tracking for a onedimensional wave equation, where the boundary disturbances are either collocated or noncollocated with control. The regulated output and the control are supposed to be noncollocated 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

Robust finitetime H∞ control of switched nonlinear neutral systems in the presence of multiple disturbances using auxiliary matrices IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200721
Hadi Gholami; Mohammad Hossein ShafieiThis paper focuses on finitetime boundedness (FTB) of a class of switched nonlinear neutral systems in the presence of multiple disturbances. Based on Lyapunov analysis, Finsler’s lemma and the average dwelltime concept, sufficient conditions are extracted to guarantee the FTB of the system. Using these sufficient conditions, finitetime ${H}_{\infty }$ controllers are designed via state feedback

Corrigendum: An inverse optimal approach to ship coursekeeping control IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200520
Chuanrui Wang; Chuanxu Yan; Zhenchong Liu; Feng CaoAbstractThe model under consideration in this paper describes a vibrating structure of an interfacial slip and consists of three coupled hyperbolic equations in onedimensional bounded interval under mixed homogeneous Dirichlet–Neumann boundary conditions. The first two equations are related to Timoshenkotype systems and the third one is subject to the dynamics of the slip. The main problem we discuss

Robust integrated covariance intersection fusion Kalman estimators for networked mixed uncertain timevarying systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200513
Yuan Gao; Zili DengFor the multisensor timevarying networked mixed uncertain systems with random onestep sensor delays and uncertainvariance 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 uncertainvariance fictitious white noises. According to the

Controllability results of fractional integrodifferential equation with noninstantaneous impulses on time scales IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200508
Vipin Kumar; Muslim MalikIn this work, we investigate the controllability results of a fractional integrodifferential equation with noninstantaneous impulses on time scales. Banach contraction theorem and the nonlinear 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.

Approximate controllability of second order nonlocal neutral differential evolution inclusions IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20200416
V Vijayakumar; R Udhayakumar; C DineshkumarIn 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.

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 : 20200407
Nasim Akbari; Ali Sadr; Ali KazemyThis paper establishes a stochastic synchronization method for a Markovian jump complex dynamical network (MJCDN) with timedelay and uncertainties. The considered Markovian structure is piecewisehomogeneous with piecewiseconstant timevarying transition rates (TRs). Two Markovian signals are utilized to construct the piecewisehomogeneous Markovian structure. A lowlevel Markovian signal with timevarying

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 : 20200205
Roberto Andreani; Valeriano Antunes de Oliveira; Jamielli Tomaz Pereira; Geraldo Nunes SilvaNecessary optimality conditions for optimal control problems with mixed statecontrol 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 nonlinear case. Some instances of problems

Iterativelearning procedures for nonlinearmodelorder reduction in discrete time IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191211
Salim IbrirEfficient numerical procedures are developed for modelorder reduction of a class of discretetime nonlinear systems. Based on the solution of a set of linearmatrix inequalities, the Petrov–Galerkin projection concept is utilized to set up the structure of the reducedorder nonlinear model that preserves the inputtostate stability while ensuring an acceptable approximation error. The first numerical

Cooperative optimal control for descriptor multiagent systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191204
Liping Zhang; Guoshan ZhangThis paper provides a theory analysis of cooperative optimal control problem for leaderfollower descriptor multiagent systems. Based on the linear quadratic regulator theory, the state feedback controller is designed to guarantee the consensus of multiagent systems and minimize a local performance index, which is independent of the graph topology, the control gain matrix is obtained by solving a

Eventtriggered Hꝏ control for NCS with timedelay and packet losses IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191203
Jing Bai; Ying Wang; LiYing ZhaoThis paper is concerned with the discrete eventtriggered dynamic outputfeedback ${H}_{\infty }$ control problem for the uncertain networked control system, where the timevarying sampling, networkinduced delay and packet losses are taken into account simultaneously. The random packet losses are described via the Bernoulli distribution. And then, the closedloop system is modelled as an augmented

Asymptotic stabilization for a wave equation with periodic disturbance IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191128
Jing Wei; Hongyinping Feng; BaoZhu GuoIn this paper, we consider boundary stabilization for a onedimensional 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

Control of bounded solutions for firstorder singular differential equations with impulses IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191118
Fanchao Kong; Juan J NietoThis paper is concerned with a kind of firstorder singular differential system with impulses. Based on the Schaefer fixedpoint 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

Robust regional stabilization for the twodimensional mixed continuousdiscretetime Roesser models IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191114
Xiang Ren; Fei HaoThis paper addressed the problem of asymptotic regional stabilization of a class of twodimensional 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

Input–output linearization of nonlinear timevarying delay systems: the singleinput singleoutput case IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191114
Ihab Haidar; Florentina Nicolau; JeanPierre Barbot; Woihida AggouneThis paper deals with the input–output linearization of nonlinear timevarying delay systems. We introduce an extension of the Lie derivative for timevarying delay systems and derive sufficient conditions for the existence of a causal and bounded nonlinear feedback linearizing the input–output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization

Finitetime stabilization of stochastic coupled systems on networks by feedback control and its application IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191107
Yongbao Wu; Wenxue Li; Jiqiang FengIn this paper, the finitetime 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 finitetime stability for SCSNs. Meanwhile, the convergence time is closely related to topological structure in networks

Datasampling controllability of multiagent systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191015
Bin Zhao; Yongqiang GuanIn this paper, we consider datasampling controllability of multiagent 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 datasampling

Controllability criteria of fractional differential dynamical systems with noninstantaneous impulses IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191015
B Sundara Vadivoo; R Raja; Jinde Cao; G Rajchakit; Aly R SeadawyThis manuscript prospects the controllability criteria of noninstantaneous impulsive Volterra type fractional differential systems. By enroling an appropriate Gramian matrix that is often defined by the MittagLeffler function and with the assistance of Laplace transform, the necessary and sufficiency conditions for the controllability of noninstantaneous impulsive Volterratype fractional differential

Finitetime terminal synergetic control of a class of nonlinear systems with unmatched uncertainties IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20191010
Azadeh Ahifar; Abolfazl Ranjbar Noei; Zahra RahmaniIn this paper, the problem of finitetime tracking for nthorder 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

Boundary output feedback stabilization of transport equation with nonlocal term IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190905
Liping Wang; FengFei JinIn this paper, we are concerned with boundary output feedback stabilization of a transport equation with nonlocal term. First, a boundary state feedback controller is designed by a backstepping approach. The closedloop 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 infinitedimensional observer

On the exact modelling of linear systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190829
Georgia G Pechlivanidou; Nicholas P KarampetakisIt is well known that given the continuoustime 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

Stochastic boundedness of state trajectories of stable LTI systems in the presence of nonvanishing stochastic perturbation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190827
Peyman Azodi; Peyman Setoodeh; Alireza Khayatian; Elham JamaliniaThis paper studies stochastic boundedness of trajectories of a nonvanishing stochastically perturbed stable linear timeinvariant 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

Dynamic backstepping control for purefeedback nonlinear systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190814
Sheng Zhang; EnMi Yong; Yu Zhou; WeiQi QianA dynamic backstepping control method is proposed for nonlinear systems in the purefeedback form, for which the traditional backstepping method suffers from solving the implicit nonlinear 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

Multidimensional 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 : 20190719
QiMing Sun; HongSen YanIn this paper, a multidimensional Taylor network (MTN) output feedback tracking control of nonlinear singleinput singleoutput (SISO) systems in discretetime 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

Asynchronous repetitive control of switched systems via periodic eventbased dynamic output feedback IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190711
Guoqi Ma; Xinghua Liu; Prabhakar R Pagilla; Shuzhi Sam GeThis paper develops an asynchronous modedependent repetitive control strategy with periodic eventbased dynamic output feedback for periodic trajectory tracking of continuoustime switched systems subject to timevarying 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

Secondorder consensus of multiagent systems with mixed delays and uncertain parameters via adaptive pinning aperiodically intermittent control IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190704
Boling Zhou; Yongqing Yang; Xianyun XuThis paper investigates the secondorder consensus of multiagent systems with mixed delays and uncertain parameters. On one hand, an adaptive pinning aperiodically intermittent control protocol is designed to make multiagent systems reach the secondorder consensus. Moreover, the intermittent control protocol can be designed to be aperiodic, which means each agent can only obtain the relative states’

Linear algebrabased controller for trajectory tracking in mobile robots with additive uncertainties estimation IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190521
G J E Scaglia; M E Serrano; S A Godoy; F RossomandoThis 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

An implicit class of continuous dynamical system with datasample outputs: a robust approach IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190521
Raymundo Juarez; Vadim Azhmyakov; A Tadeo Espinoza; Francisco G SalasThis 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 differentialalgebraic equations (DAEs) in the presence of bounded uncertainties. The full model of the control system under consideration is completed by linear samplingtype outputs. The linear feedback control design proposed in this

Uniform continuity and delay robustness of an adaptive controller for Lagrangian systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190429
KimDoang NguyenThis paper presents a method based on a continuity argument for analysing the delay robustness of nonlinear control systems with uncertainties. In particular, a delaydependent 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

Consensus control of singular multiagent systems based on iterative learning approach IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190423
Panpan Gu; Senping TianIn this paper, the iterative learning control technique is applied for singular multiagent 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

Discretetime sliding mode control for a class of nonlinear process IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190410
Luning Ma; Dongya Zhao; Shuzhan Zhang; Jiehua Feng; Lei CaoThe 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 controlbased discretetime sliding mode control

Adaptive control parameterization method by density functions for optimal control problems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190401
Nastaran Ejlali; Seyed Mohammad HosseiniThis 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

A new unbiased minimum variance observer for stochastic LTV systems with unknown inputs IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190320
Luc Meyer; Dalil Ichalal; Vincent VigneronThis 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

A Lyapunovbased design of dynamic feedback compensator for linear parabolic MIMO PDEs IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190319
YaQiang Liu; JunWei Wang; ChangYin SunThis 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 noncollocated sensors distributed over partial areas of the

Constrained controllability of second order retarded nonlinear systems with nonlocal condition IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190313
Suman Kumar; R SakthivelIn 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

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 : 20190222
ChangHua Lien; KerWei Yu; HaoChin ChangIn this paper, the problem of mixed ${H}_2$ and passive switching control of uncertain discrete timedelay switched systems is investigated via a switching signal selection. Lyapunov theory with Wirtinger inequality is applied to guarantee the mixed performance for discrete switched timedelay system. The used Linear Matrix Inequality variables are less than our past proposed results. Finally, the

On sensor quantization in linear control systems: Krasovskii solutions meet semidefinite programming IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190220
Francesco Ferrante; Frédéric Gouaisbaut; Sophie TarbouriechStability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closedloop system is described by a discontinuous righthand side differential equation, Krasovskii solutions (to the closedloop system) are considered. Sufficient conditions in the form of matrix inequalities are proposed to characterize uniform global asymptotic stability

Chaotic dynamics from a pseudolinear system IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190207
Hamed Ghane; Alef E Sterk; Holger WaalkensInvestigating the possibility of applying techniques from linear systems theory to the setting of nonlinear systems has been the focus of many papers. The pseudolinear (PL) form representation of nonlinear dynamical systems has led to the concept of nonlinear eigenvalues (NEValues) and nonlinear eigenvectors (NEVectors). When the NEVectors do not depend on the state vector of the system, then

A rapidbased improvement on some mesh refinement strategies in solving optimal control problems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190205
Maedeh Souzban; Omid Solaymani Fard; Akbar H BorzabadiRecently, 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

Wellposedness and stability results for laminated Timoshenko beams with interfacial slip and infinite memory IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190128
Aissa GuesmiaThe model under consideration in this paper describes a vibrating structure of an interfacial slip and consists of three coupled hyperbolic equations in onedimensional bounded interval under mixed homogeneous Dirichlet–Neumann boundary conditions. The first two equations are related to Timoshenkotype systems and the third one is subject to the dynamics of the slip. The main problem we discuss here

Existence, stability and controllability results of a Volterra integrodynamic system with noninstantaneous impulses on time scales IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190122
Muslim Malik; Vipin KumarIn this paper, we establish the stability and controllability results for a Volterra integrodynamic system with noninstantaneous 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.

On the practical separation principle of timevarying perturbed systems IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190117
Ines EllouzeIn this paper, we establish a separation principle in the practical sense for a class of timevarying 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 nonlinear timevarying practical observer to estimate the system states, a practical state feedback

Stabilization of a Timoshenko beam system with a tip mass under unknown nonuniformly bounded disturbances IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190115
Liping Zhang; Dongyi Liu; Genqi XuThis 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, timevarying highgain observers are designed to estimate the disturbances, and continuous antidisturbances feedback controllers are developed. By choosing a suitable timevarying function,

On the boundary controllability of the Korteweg–de Vries equation on a starshaped network IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20190103
Eduardo Cerpa; Emmanuelle Crépeau; Claudia MorenoA 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 starshaped 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

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 : 20190103
Mohammad Reza Zamani; Zahra Rahmani; Behrooz RezaieIn 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

On the explicit feedback stabilization of onedimensional linear nonautonomous parabolic equations via oblique projections IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20181128
Sérgio S Rodrigues; Kevin SturmIn 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

Optimal control of linear PDEs using occupation measures and SDP relaxations IMA J. Math. Control Inf. (IF 1.034) Pub Date : 20181107
Victor Magron; Christophe PrieurThis paper addresses the problem of solving a class of optimal control problems (OCPs) with infinitedimensional linear state constraints involving Rieszspectral operators. Each instance within this class has time/controldependent polynomial Lagrangian cost and control constraints described by polynomials. We first perform a statemode discretization of the Rieszspectral operator. Then we approximate