样式: 排序: IF: - GO 导出 标记为已读
-
Dissipativity-based consensus for P-one-sided Lipschitz multi-agent systems via ILC IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2024-03-08 Panpan Gu, Shiji Zhao, Liping Chen, Yong Lin, Jiajia Wang, Senping Tian
Based on dissipativity theory, the consensus via iterative learning control (ILC) is investigated for P-one-sided Lipschitz (P-OSL) nonlinear multi-agent systems (MASs). This paper only considers the P-OSL condition without using the quadratically inner-bounded constraint. Firstly, the ILC protocol is designed for such nonlinear MASs. Then, the convergence conditions of the consensus algorithm under
-
Adaptive saturated two-bit-triggered bipartite consensus control for networked MASs with periodic disturbances: a low-computation method IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2024-02-27 Wenjing Wu, Liang Zhang, Yuhang Wu, Heng Zhao
This paper investigates the bipartite tracking control problem for a family of networked multi-agent systems with periodic disturbances as well as input saturation. A low-computation two-bit-triggered adaptive control strategy is proposed to achieve precise trajectory tracking and maintain the boundedness of the closed-loop signals. Compared with the existing results, first, this paper considers the
-
Probability of stability calculation of MIMOn cascade non-linear systems with random parameters IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2024-02-26 Bojana M Zlatkovic, Biljana Samardzic
The stability problem of Multiple n Inputs and Multiple n Outputs (MIMOn) cascade non-linear systems with random parameters is considered in this paper using the probability of stability estimation method. MIMOn cascade non-linear systems, particularly when the number of inputs and outputs exceeds three (n > 3), exhibit a unique property: the appearance of spatial hyperchaos that can lead to system
-
Frequency-weighted and frequency interval Gramian framework-based model reduction using singular value decomposition IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2024-02-17 Vineet Sharma, Deepak Kumar
It is observed that the reduced-order models (ROMs) by some existing limited Gramians-based techniques deviate significantly from the high-order model, resulting in a large approximation inaccuracy. Therefore, this paper introduces a novel solution for finite-frequency model reduction using new frequency-weighted Gramians by employing balanced truncation. This work provides a novel structure of fictitious
-
Performance output regulation of coupled heat equations with recycle IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2024-02-08 Xiu-Fang Yu, Jun-Min Wang, Xiao-Hui Wu
In this article, we study the output regulation of two coupled heat equations with recycle, where the disturbances are distributed in all channels, the control is implemented at the left boundary $x=0$ and the point temperature at $x=2$ is the only noncollocated measurement. The output control is divided into two parts: one is to stabilize the unstable heat system by the noncollocated static feedback
-
Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames–Falb multipliers IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2024-02-05 Ross Drummond, Chris Guiver, Matthew C Turner
Absolute stability criteria that are sufficient for global exponential stability are shown, under a Lipschitz assumption, to be sufficient for the a priori stronger exponential input-to-state stability property. Important corollaries of this result are as follows: (i) absolute stability results obtained using Zames–Falb multipliers for systems containing slope-restricted nonlinearities provide exponential
-
Periodic event-triggered formation control of multi-agent systems via complex Laplacian IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2024-01-29 Xiaoya Guo, Xia Chen, Lu Fu
The event-triggered formation control of first-order continuous multi-agent systems is studied based on complex Laplacian in this paper. Periodic event-triggered control is designed in which continuous communication between agents is not required. For each agent, two different triggering conditions are discussed. The first one relies on the inter-neighboring communication at each verification time
-
Dimension reduction based on approximate gramians via Laguerre polynomials for coupled systems IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2024-01-15 Zhen-Zhong Qi, Zhi-Hua Xiao, Jia-Wei Yuan
In this paper, we focus on the topic of model order reduction (MOR) for coupled systems. At first, an approximation via Laguerre polynomials expansions to controllability and observability gramians for such systems are presented, which provides a low-rank decomposition form whose factors are constructed from a recurrence formula instead of Lyapunov equations. Then, in combination of balanced truncation
-
HPA axis differential flatness and Liouvillian study for higher resiliency investigations IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-11-29 Florentina Nicolau, Hugues Mounier, Ioannis P Androulakis
In this paper, we study several existing quantitative models of the hypothalamic–pituitary–adrenal (HPA) axis from a control systems theory viewpoint, that is, we suppose that we can act on the dynamics of the HPA axis throughout some parameters, which are the system inputs. In particular, we will focus on flatness and Liouvillian properties of the considered control systems of the HPA axis. We first
-
Funnel control of linear systems with arbitrary relative degree under output measurement losses IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-10-18 Thomas Berger, Lukas Lanza
We consider tracking control of linear minimum phase systems with known arbitrary relative degree which are subject to possible output measurement losses. We provide a control law which guarantees the evolution of the tracking error within a (shifted) prescribed performance funnel whenever the output signal is available. The result requires a maximal duration of measurement losses and a minimal time
-
Observer-based SMC design for stochastic systems with Levy noise IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-10-18 G Sangeetha, K Mathiyalagan, Yong-Ki Ma, Huiyan Zhang
This work addresses the problem of sliding mode control (SMC) design for a continuous-time non-linear stochastic system with Levy-type noise. A state observer model is constructed to estimate the unavailable state information. Furthermore, Levy-type noise is considered to analyse small perturbations and to characterize the appearance of large samples that will occur in the system. Lyapunov stability
-
Observer-based controller design for switched systems with stable and unstable subsystems IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-10-12 Donglei Xie, Yantao Chen, Ying Qiao
This paper studies the problems of both state estimation and observer-based control for a class of switched linear systems with stable and unstable subsystems. By combining slow switching and fast switching mechanism, the observer design and observer-based controller are presented. Firstly, a state observer is developed to estimate the states of switched system by designing admissible edge-dependent
-
Distributed model predictive control of vehicle platoons under switching communication topologies IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-10-03 Liang Chen, Jingyuan Zhan, Liguo Zhang
This paper studies the control problem for vehicle platoons under switching communication topologies, where the Predecessor-Following (PF)-failure topology is allowed. Firstly, we design a local optimization problem for each vehicle by using the state information of itself and its neighbouring vehicles, and then present Algorithm 1 based on Distributed Model Predictive Control (DMPC). By constructing
-
Uniform stabilization of a Schrödinger equation with partial Dirichlet delayed control IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-09-05 Xiaorui Wang, Yanfang Li
In this paper, the uniform stabilization of a multi-dimensional Schrödinger equation with partial Dirichlet delayed control is concerned. The control input is suffered from time delay. Herein a new feedback controller is adopted in the investigation. Firstly, we rewrite the delayed system under consideration into a cascaded system of a transport equation and a Schrödinger equation, and construct an
-
Caputo’s fractional discrete-time stability connection for stabilizing controllers IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-08-09 Blanca L Hernández-Galván, Jesus R Pulido-Luna, Nohe R Cazarez-Castro, Guillermo Fernández-Anaya, Jorge A López-Rentería
This work aims to give a method to connect a set of polynomials having all of their zeros inside the stability zone for fractional difference systems with Caputo’s fractional discrete operator. Due to the complexity of the stability zone, it is necessary to use a set that describes explicitly the stability zone for fractional-order difference systems, in order to build a polynomial family with zeros
-
A complete characterization of minima of the spectral abscissa and rightmost roots of second-order systems with input delay IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-06-23 Wim Michiels, Silviu-Iulian Niculescu, Islam Boussaada
The numerical minimization of the spectral abscissa function of linear time-invariant time-delay systems, an established approach to compute stabilizing controllers with a fixed structure, often gives rise to minima characterized by active characteristic roots with multiplicity higher than one. At the same time, recent theoretical results reveal situations where the so-called multiplicity induced dominancy
-
Separation principle of delay perturbed singular systems IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-06-13 Khawla Ben Mrad, Ines Ellouze
In this paper, we establish a separation principle for a class of time-varying delay perturbed singular systems. Furthermore, we propose a singular observer to estimate the system states. Based on the Lyapunov–Krasovskii functionals, the practical stability of the proposed singular observer is achieved. These results are applied to show that a separation principle for perturbed singular systems can
-
Prescribed-time stabilization of uncertain heat equation with Dirichlet boundary control IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-05-29 Chengzhou Wei, Junmin Li
This paper designs a Dirichlet boundary controller to stabilize a heat equation with boundary disturbance within a prescribed finite time independent of initial conditions. We first use boundary measurements and time-varying gain to construct a disturbance estimator that estimates the disturbance itself and the system state within a prescribed time. We then design the estimation-based prescribed time
-
Parameter estimation and velocity signal extraction for one-dimensional wave equation with harmonic corrupted boundary observation IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-05-29 Shuangxi Huang, Feng-Fei Jin
In this paper, we consider parameter estimation and velocity signal extraction from a disturbed boundary velocity signal for an unstable wave equation. Firstly, an adaptive observer is designed based on the boundary displacement and the corrupted boundary velocity. Then the design of the feedback law adopts the backstepping method of infinite dimensional system. Finally, as time approaches infinity
-
Adaptive stabilization for a wave equation subject to boundary control matched harmonic disturbance IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-05-16 Jun-Jun Liu, Yan-Xing Zhao
In this paper, we are concerned with adaptive stabilization for a wave equation subject to boundary control matched harmonic disturbance. We use the adaptive and Lyapunov approach to estimate unknown disturbance and construct an adaptive boundary feedback controller. By the semigroup theory and Lasalle‘s invariance theorem, the well-posedness and asymptotic stability of the closed-loop system is proved
-
Impulse controllability for the heat equation with inverse square potential and dynamic boundary conditions IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-05-11 Mahmoud Baroun, Hind El Baggari, Ilham Ouled Driss, Said Boulite
In this paper, we investigate the null approximate impulse controllability of the heat equation with an inverse square potential subject to dynamic boundary conditions in the ball $B(0, R_{0})$ of radius $R_{0}=\left (\frac{4}{3}\right )^{\frac{3}{2}}$. To that purpose, we use the Carleman commutator approach to show a logarithmic convexity estimate traducing an observability inequality at one instant
-
Stabilization of the Pendubot: a polynomial matrix approach IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-05-11 Cui Wei, Antonis Vardulakis, Tianyou Chai
This paper concerns the stabilization problem for an underactuated robot called the Pendubot. Relying on a computational algorithm which is based on various results of the ‘polynomial matrix approach’, we propose an output-feedback-based internally stabilizing controller to stabilize the Pendubot at the unstable vertical upright position. The algorithm utilizes results for the solution of polynomial
-
Output feedback backstepping control for non-linear systems using an adaptive finite time sliding mode observer IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-05-08 Jiehua Feng, Dongya Zhao, Xing-Gang Yan, Sarah K Spurgeon
In this paper, a class of non-linear systems in normal form is considered, which is composed of internal and external dynamics. An adaptive finite time sliding mode observer is first designed so that the system states, unmatched uncertain parameters and matched uncertainties can all be observed in finite time. Then, the systematic backstepping design procedure is employed to develop a novel output
-
On the null controllability of integer order integro-differential equations IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-05-04 Xiuxiang Zhou, Lijuan Cheng, Xin Wang
This paper is addressed to the study of the null controllability for integer order integro-differential equations. Unlike the known results for partial differential equations, we need to consider the equation involving a $\beta -$power of the Laplace operator $(-\varDelta )^\beta $ and an integral term. The key point is to construct a suitable state space of the controlled system at the final time
-
Topological equivalence of linear time-varying control systems IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-04-24 Jing Li, Zhixiong Zhang
In this paper, we mainly studied the topological equivalence of linear time-varying (LTV) control system $\dot{x}\left ( t\right )=A(t)x(t)+B(t)u(t)$ defined on an interval $I \subset \mathbb{R}^{+}$. After giving a new definition of the topological equivalence, we investigated the local equivalence of LTV control systems under two new hypotheses. These hypotheses were made by the local behavior of
-
Stabilization and destabilization of hybrid systems by periodic stochastic controls based on Lévy noise IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-04-13 Wenrui Li, Weiyin Fei, Yong Liang, Xuerong Mao
We focus in this paper on determining whether or not a periodic stochastic feedback control based on Lévy noise can stabilize or destabilize a given non-linear hybrid system. Using the Lyapunov functions and the periodic functions, we establish some sufficient conditions on the stability and instability for non-linear hybrid systems with Lévy noise. Moreover, we use some numerical examples and simulations
-
Differential N-players game: Nash equilibria and Mather measures IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-03-29 Cristian Mendico
We study Nash equilibria for the deterministic ergodic N-players game. We introduce pure strategies, mixed strategies and Nash equilibria associated with those. We show that a Nash equilibrium in mixed strategies exists and it is a Mather measure for the Lagrangian system defined by the cost functional. In conclusion, we show that the mean field limit of the N-players game is described by the ergodic
-
Polynomial stability and weak stabilization for some partial functional differential equations with delay IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-03-20 Soufiane Boumasmoud, Khalil Ezzinbi
The feedback stabilization of a class of delayed evolution equations in real Hilbert space is considered. By virtue of an observability-type inequality and a delayed control, sufficient conditions ensuring the strong and weak stabilization are provided. For the strong stabilization, the speed of convergence is successfully established. Various applications with numerical simulations are considered
-
Exponential state estimate of positive systems with time-varying delays: a Lyapunov–Razumikhin approach IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-03-17 Tran Ngoc Nguyen
In this paper, for the first time, a linear Lyapunov–Razumikhin function is introduced to find an $\alpha$-exponential state estimate for positive systems with time delays. A new set of conditions for the existence of exponential state boundedness of positive systems with bounded time-varying delays is established. Two procedures are then proposed to find the factor vector of $\alpha$-exponential state
-
H∞ and Asymptotic Stability via delay feedback for hybrid neutral stochastic delay differential equations with Lévy noise IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-02-23 Mohamed Rhaima, Lassaad Mchiri, A Ben Makhlouf
This work addresses existence and stabilization problem for a hybrid neutral stochastic delay differential equations with Lévy noise (HNSDDELN). The coefficients of such systems do not satisfy the conventional linear growth conditions, but are subject to high nonlinearity. We first prove the existence and uniqueness of the solution. We then design a delay feedback controller to make an unstable HNSDDELN
-
On the pole placement of scalar linear delay systems with two delays IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-02-20 Sébastien Fueyo, Guilherme Mazanti, Islam Boussaada, Yacine Chitour, Silviu-Iulian Niculescu
This paper concerns some spectral properties of the scalar dynamical system defined by a linear delay-differential equation with two positive delays. More precisely, the existing links between the delays and the maximal multiplicity of the characteristic roots are explored, as well as the dominance of such roots compared with the spectrum localization. As a by-product of the analysis, the pole placement
-
Stability analysis for time-varying positive systems with stochastic impulses IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2023-01-10 Mingzheng Yu, Jian Liu, Ticao Jiao, Lei Wang, Qian Ma
This article addresses the stochastically exponential stability and mean stability of positive time-varying systems with stochastic impulses. The term ‘stochastic impulse’ means the randomness of impulsive densities or intensities. More specifically, the impulsive maps are not unique and the impulsive intensities are independent random variables with different distributions. The occurrence instants
-
Distributed adaptive leader-following consensus control for a class of non-linear output feedback systems IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-10-19 Chuanrui Wang, Hui Sun, Shuai Zhang
This paper deals with the leader-following consensus control for a class of parametric output feedback non-linear multi-agent systems. To design distributed control laws without using agent’s own out information, non-linear functions of agent’s own output are transformed into non-linear functions of relative output information using mean value theorem and variable separation technique. By introducing
-
Explicit criteria for exponential stability in mean square of stochastic difference systems with delays IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-10-18 Le Trung Hieu, Pham Huu anh Ngoc, Thai Bao Tran, Nguyen Dinh Huy
By a novel approach, we present some new criteria for the exponential stability in mean square of solutions of non-linear stochastic difference systems with time-varying delays. A discussion of the obtained results is given. Illustrative examples and simulations are provided.
-
Approximate controllability of fractional order non-instantaneous impulsive functional evolution equations with state-dependent delay in Banach spaces IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-10-18 S Arora, Manil T Mohan, J dabas
This paper deals with the control problems governed by fractional impulsive functional evolution equations with state-dependent delay involving Caputo fractional derivatives in Banach spaces. The main objective of this work is to formulate sufficient conditions for the approximate controllability of the considered system in separable reflexive Banach spaces. We have exploited the resolvent operator
-
Bipartite synchronization of discrete-time networks with antagonistic interactions via hybrid control IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-10-10 Xiaomei Zhang, Lin He, Lei Zhou, Suying Sheng
The problem of bipartite synchronization is addressed for discrete-time networks with antagonistic interactions via hybrid control with impulsive effects. Firstly, a hybrid state-feedback controller, which combines a pinning state-feedback controller and an impulsive state-feedback controller, is presented, and the criterion of the bipartite synchronization is derived by applying the average impulsive
-
On the recursive equivalence to Smith form of multivariate polynomial matrices IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-09-30 Jinwang Liu, Dongmei Li
The Smith form of an $n$-$D$ polynomial matrix plays an important role in many areas of mathematics and engineering. In this paper, we investigate the recursive equivalence problem of $n$-dimensional polynomial matrices, i.e. if diag$(1,B)$ is equivalent to diag$(1,1,C)$, is B equivalent to diag$(1,C)$? We give a negative answer to this question by explicitly constructing a four-dimensional polynomial
-
Iterative algorithms for reducing inversion of discrete algebraic riccati matrix equation IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-09-23 Jianzhou Liu, Zheng Wang, Zhiming Xie, Li Wang
In practical engineering, many control problems usually can be transformed into solutions of the discrete algebraic Riccati equation (DARE), which has two matrix inverse operations formally. In this paper, first, by the relationship between properties of the matrix Schur complement and partitioned representation of inverse matrix, we change the DARE with twice inversions into an equivalent form with
-
Observer-based feedback stabilization of a reaction-diffusion equation with variable coefficients and boundary input delay IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-07-27 Hong-Li Zhu, Gen-Qi Xu
In this paper, we consider the stabilization issues of a reaction-diffusion equation with variable coefficients and boundary input delay. At first, we design an observer based on the system output to estimate the state of the system. Due to the present of time delay in control, we design a dynamic feedback controller based on the state information of observer, that is called the integral-type controller
-
First-order and second-order necessary optimality conditions for discrete-time stochastic systems with delay IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-05-04 Teng Song, Bin Liu
This paper is concerned with the first-order and second-order necessary optimality conditions for discrete-time stochastic systems with delay under weak assumptions. Based on a characteristic method and a discrete-time backward stochastic equation, we establish the linearized discrete-time stochastic maximum principle and Euler-type necessary optimality condition. Moreover, by a new discrete-time backward
-
A suboptimal control of linear time-delay problems via dynamic programming IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-04-27 Atefeh Gooran Orimi, Sohrab Effati, Mohammad Hadi Farahi
We study a class of infinite horizon optimal control problems with a state delay, and investigate the dynamic programming approach which leverages the sufficient optimality conditions and provides a closed-loop solution. Importantly, the well-known Lyapunov–Krasovskii functional is applied to relate the solution of the problem to the solution of a set of three Riccati-type matrix differential equations
-
Zero-order hold discretization of general state space systems with input delay IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-04-26 Georgia Pechlivanidou,Nicholas Karampetakis
Abstract Plethora of applications in physics and engineering are dealing with systems that are subject to input delays. Despite the scientific focus, previous research investigated only state space systems with input delays. Here, we investigate the discretization of generalized state space system with input delay by using the zero-order hold method. Firstly, the solution of a continuous time, generalized
-
On the inversion and admissibility for a class of Volterra integro-differential problems IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-04-15 M Tismane,H Bounit,A Fadili
Abstract We study the Volterra integro-differential problems of convolution kernel type from two perspectives: complex inversion formula and the admissibility in the Salamon–Weiss sense (which leads us to consider unbounded control operators). Due to the hybrid Cauchy–Volterra context of these problems, the control operators need to have the admissibility property. First, we show the validity of the
-
Stability analysis of nonlinear inviscid microscopic and macroscopic traffic flow models of bidirectional cruise-controlled vehicles IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-04-03 Iasson Karafyllis,Dionysios Theodosis,Markos Papageorgiou
Abstract The paper introduces a new bidirectional microscopic inviscid Adaptive Cruise Control (ACC) model that uses only spacing information from the preceding and following vehicles in order to select the proper control action to avoid collisions and maintain a desired speed. $KL$ estimates that guarantee uniform convergence of the ACC model to the set of equilibria are provided. Moreover, the corresponding
-
Riemannian optimization model order reduction method for general linear port-Hamiltonian systems IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-03-15 Zi-Xue Li,Yao-Lin Jiang,Kang-Li Xu
Abstract This paper presents a Riemannian optimal model order reduction method for general linear stable port-Hamiltonian systems based on the Riemannian trust-region method. We consider the $\mathcal{H}_2$ optimal model order reduction problem of the general linear port-Hamiltonian systems. The problem is formulated as an optimization problem on the product manifold, which is composed of the set of
-
A dual-channel switching mechanism for uncertain NCSs against DoS attacks IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-02-03 Zhang Q, Yin X, Hu S.
AbstractIn this paper, the stabilization mechanism, dual-channel switching mechanism, is investigated for a class of discrete-time networked control systems with parameter uncertainties and cyber attacks. A novel dual-channel switching mechanism is proposed against the denial-of-service attacks and achieve system asymptotic stability. The event-triggered scheme is considered to control unnecessary
-
The homing problem for autoregressive processes IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-01-25 Lefebvre M.
AbstractThe problem of maximizing or minimizing the time spent by a stochastic process in an interval is considered for autoregressive processes. The control applied to the system is equal to 0, $b$ or $-b$. Particular cases are considered, and the appropriate integral equations are solved explicitly, either exactly or approximately.
-
Observer-based global output feedback controller design for an unstable wave PDE with nonlinear boundary condition IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-01-22 Ghaderi N, Keyanpour M.
AbstractIn this work, an observer-based output feedback controller for a one-dimensional wave equation with van der Pol type nonlinear boundary conditions is considered. The uncontrolled system with the energy injection and the cubic velocity nonlinearity reveals different kinds of dynamical behaviours, for example, chaotic acoustic vibration, period-doubling bifurcation, square wave and some other
-
Exponential stability and L2 gain analysis of uncertain fractional reset control systems IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-01-22 Mohadeszadeh M, Pariz N, Ramezani-al M.
AbstractThis paper considers the stability problem of a class of uncertain fractional reset control systems that undergo the ${L}_2$ gain performance improvement via the conformable fractional calculus. To remove the Zeno phenomenon in the system’s response, a new reset law based on the time regularization technique is designed. By developing a theory to design a new reset control, the stability of
-
Event-based rigid formation system with cooperative finite-time control IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-01-18 Tan W, Huang N.
AbstractWe note that most of the rigid formation control based on distance-constrained theory only guarantees exponential or asymptotic convergence of the system. In this paper, we proposed a finite-time event-based control scheme applied in rigid formation control system. Centralized finite-time event-based formation control system is designed where the next trigger time is determined by a central
-
Performance output tracking for a one-dimensional unstable heat equation with input delay IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-01-18 Wang L, Feng H.
AbstractIn this paper, we investigate the performance output tracking for a one-dimensional unstable heat equation with input delay and disturbance. Both the performance output and the disturbance are non-collocated to the controller. By writing the time delay as a transport equation, the control plant becomes a cascade system in which the transport equation can be regarded as the actuator dynamics
-
Finite-time stabilization of nonlinear polytopic systems: a control Lyapunov function approach IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2022-01-06 Kumar Soni S, Kamal S, Ghosh S, et al.
AbstractThis paper addresses the finite-time stabilization of nonlinear polytopic systems. Sufficient conditions are proposed for the existence of a continuous time-invariant finite-time stabilizing state feedback controller through a robust control Lyapunov function. It is shown that the obtained sufficient condition is also necessary if there exists a state feedback controller such that the closed-loop
-
Input-to-state stabilization of coupled parabolic PDEs subject to external disturbances IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2021-12-31 Wang J, Zhang H, Yu X.
AbstractIn this paper, we are concerned with the input-to-state stabilization of coupled parabolic partial differential equations, which is suffering the disturbances in all channels. By using the sliding mode control integrated with the backstepping approach, we design two boundary feedback controllers to reject the matched boundary disturbances, stabilize the whole coupled system in the absence of
-
Parametric identification of ARMAX models with unknown forming filters IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2021-12-25 Escobar J, Poznyak A.
AbstractIn this paper, we present the parameter estimation algorithm for the class of an extended ARMAX model containing a ‘coloured’ noise sequence, formed by an unknown finite-dimensional linear filter. This algorithm represents the extended versions of residual whitening method and least squares method, working in parallel, to identify the extended parameters obtained after the suggested linear
-
Global decentralized control for uncertain large-scale feedforward nonlinear time-delay systems via output feedback IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2021-12-24 Shao Y, Jia X, Ju X, et al.
AbstractIn this paper, the problem of global decentralized output feedback control is addressed for a class of large-scale nonlinear systems with zero dynamics and unknown time-varying delay. System disturbance nonlinearities are subject to feedforward growth restrictions with unknown growth rate. In the spirit of dynamic scaling change technique, a novel pair of time-varying-gain observer and controller
-
Varentropy of inactivity time of a random variable and its related applications IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2021-12-23 Raqab M, Bayoud H, Qiu G.
AbstractThe information content of a random variable is of importance in the field of information theory. The mean and the variance of the information content of a random variable are called entropy and varentropy of this random variable, respectively. The varentropy of the inactivity time of a random variable is studied and termed by past varentropy in this paper. Reliability properties associated
-
A new approach for stabilization of Heat-ODE cascaded systems with boundary delayed control IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2021-12-17 Zhang L, Xu G, Mastorakis N.
AbstractThe uniform stabilization problem is addressed for a Heat-ODE cascaded system with boundary delayed control. A simple, direct and easily calculated controller is proposed, in which the known control law is sufficiently applied. With the controller the cascaded system with delayed control is exponentially stabilized. In particular, in the proof of stability, a resolvent for a more complicated
-
GE-evolution operator method for controllability of time-varying stochastic descriptor systems in Hilbert spaces IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2021-12-16 Ge Z.
AbstractExact (approximate) controllability and exact (approximate) observability of time-varying stochastic descriptor systems are discussed by GE-evolution operator, i.e., generalized evolution operator, which is a generalization of evolution operator, in the sense of mild solution in Hilbert spaces. Firstly, necessary and sufficient conditions for the exact (approximate) controllability to time-varying
-
Behaviour of infinite chains described by Laurent operators: first/second-order equations IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2021-12-16 Liu D, Liu L, Lu Y.
AbstractThis paper investigates the behaviour of infinite chains of kinematic points described by scalar Laurent operators with first/second-order linear differential equations. Some conditions on the initial states of these infinite chains are given to ensure that the corresponding solutions converge. In particular, a necessary and sufficient condition for the convergence of the first-order system
-
Behavior near time infinity of solutions of nonautonomous systems with unbounded perturbations IMA J. Math. Control Inf. (IF 1.5) Pub Date : 2021-12-09 Naser M.
AbstractThis paper derives convergence results for a class of nonnegative absolutely continuous functions that satisfy some differential inequality. These results are shown to be advantageous in studying the behavior at infinity of a class of unboundedly perturbed continuous and discontinuous time-varying systems that is frequently encountered in Lyapunov theory. In particular, sufficient conditions