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Chuandong Li,Hui Wang,Hongbin Xu 제어·로봇·시스템학회 2010 International Journal of Control, Automation, and Vol.8 No.5
This paper studies the exponential stability of nonlinear differential equations with constant decay rate under the assumption that the corresponding crisp equation (without delay, simply, non-delay equation) is exponentially stable. Different from most publications dealing with delay systems by applying Lyapunov-type methods, the perturbed system method is used in this paper. It shall be shown that the considered equations will remain exponentially stable provided the time lag is small enough. Moreover, we formulate and estimate the threshold of delay ensuring exponential stability when a constant decay rate appears explicitly in system model, which is better than the existing results.
Stability of Impulsive Systems with Time Window via Comparison Method
Chuandong Li,Jie Tan,Tingwen Huang 제어·로봇·시스템학회 2015 International Journal of Control, Automation, and Vol.13 No.6
The stability of impulsive systems with time window is studied via comparison method. Two theorems are obtained to determine the different impulsive time windows for stable and unstable continuous dynamical systems, respectively. The effectiveness of the theoretical results are illustrated by two numerical examples.
Chuandong Li,Shiju Yang,Tingwen Huang 제어·로봇·시스템학회 2016 International Journal of Control, Automation, and Vol.14 No.3
In this paper, the effect of parameter mismatch on the impulsive synchronization for TS fuzzy modelof memristor-based chaotic system is investigated and some new and useful criteria are derived. Moreover, usingthe linear decomposition and comparison system methods, the global quasisynchronization for memristor-basedchaotic systems based on the TS fuzzy model in the presence of parameter mismatch is discussed. Finally, numericalsimulation results are presented to illustrate the effectiveness of the theoretical results.
Stability of Nonlinear Systems with Variable-time Impulses: B-equivalence Method
Chuandong Li,Yinghua Zhou,Hui Wang,Tingwen Huang 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.5
This paper addresses the stability problem of nonlinear systems with variable-time impulses. By Bequivalencemethod, we shall show that under the well-selected conditions each solution of the considered systemswill intersect each surface of discontinuity exactly once, and that the considered systems can be reduced to the fixedtimeimpulsive ones, which can be regarded as the comparison systems of the considered variable-time impulsivesystems. Based on the stability theory of fixed-time impulsive systems, we propose a set of stability criteria for thevariable-time impulsive systems. The theoretical results are illustrated by impulsive stabilization of Chua circuit.
The Existence and Stability Analysis of Periodic Solution of Izhikevich Model
Yi Li,Chuandong Li,Zhilong He,Zixiang Shen 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.5
In this paper, based on the Izhikevich model, a more realistic hybrid impulsive neuron model combining model with state-dependent impulsive effects is proposed. By means of the theory of impulsive semidynamic system, the Poincaré section and the ordinary differential equation geometry theory, the properties of the equilibrium points and the sufficient conditions for the existence and stability of different order-1 or order-2 periodic solutions of the system are derived near the equilibrium point or limit cycle. In addition, subthreshold bifurcation behavior which are saddle-node bifurcation, Andronov-Hopf bifurcation, Bogdano-Takens bifurcation and bifurcation behavior of the model with state-dependent impulsive effects are also studied. Final, the main results are illustrated by numerical simulations, and the bifurcation diagram shows that the system becomes more complicated due to the existence of impulses, and there exist bifurcations and chaos phenomena, indicating that the system has rich dynamic behavior.
An Extended Looped Functional Approach for Stability Analysis of T-S Fuzzy Impulsive Control Systems
Fei Chang,Chuandong Li 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.7
In this paper, the stability analysis of T-S fuzzy impulsive control systems is studied based on an extended looped functional approach. The extended functional is differentiable between two impulsive intervals. The value of the functional at tk+1 minus the value at t+k has been improved to be nonnegative rather than zero in traditional looped functional methods. With the extended bilateral looped functional, stability conditions for T-S fuzzy impulsive control systems with less conservative are obtained in the form of LMIs. The stability conditions under existing looped functional method are also given as a special case. Furthermore, the impulsive fuzzy controller is designed. Two numerical examples verify the feasibility of the proposed results.
Locally Exponential Stability of Discrete-time Complex Networks with Impulsive Input Saturation
Keyu Chen,Chuandong Li,Liangliang Li 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.4
In this paper, the problem of exponential stabilization for a class of discrete-time complex network withsaturated impulse input is investigated. Based on the inductive method, convex analysis, and auxiliary matrix,several Lyapunov-type stability criteria are derived for exponential stability of discrete-time complex network withimpulsive input saturation. Two examples are also presented to illustrate the effectiveness and the feasibility of theobtained results.
Synchronization of Inertial Cohen-Grossberg-type Neural Networks with Reaction-diffusion Terms
Mingchen Huan,Chuandong Li 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.12
This paper investigates the synchronization of inertial reaction-diffusion Cohen-Grossberg-type neural networks. Compared with the existing works concerning reaction-diffusion neural networks, the main innovation of this paper is that two design strategies of feedback synchronization controllers are proposed based on the types of time delays. For the systems with bounded differentiable delays, the sufficient conditions for synchronization are derived under the framework of Lyapunov method. If the time delay of the addressed system is unbounded or non-differentiable, it can also realize synchronization by employing the method of variation of parameters and some analytical techniques. Moreover, the proposed methods are applicable to various boundary conditions. The correctness of the obtained criteria is verified by three numerical examples.
State-dependent Impulsive Control for Consensus of Multi-agent Systems
Yuan Tian,Chuandong Li 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.12
This paper aims to investigate the consensus of multi-agent systems, where each agent runs hopfied-type neural networks, by means of the state-dependent impulsive control. The challenge comes from the fact that the occurrence of impulse varies according to the state of the agent, which means it is hard to predict when an impulse occurs. To solve this problem, we try to transform the impulsive system from state-dependent to fixed-time. In order to do that, we first construct a global consensus error state-dependent with a multi-agent system according to the impulsive consensus protocol. Then we use the B-equivalence method to form a comparison impulsive system of fixed-time impulsive sequence. Using Lyapunov stability theory, we prove that these two systems have the same stability. So we establish sufficient consensus conditions of multi-agent system by analyzing the comparison system. We perform extensive evaluations to validate the correctness of theoretical results and the effectiveness of the statedependent impulsive consensus protocol.
Distributed Event-triggered Containment Control for Discrete-time Multi-agent Systems
Zhaojun Tang,Chuandong Li 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.6
This paper investigates the event-triggered containment control for discrete-time multi-agent systems. Event-triggered control strategies are employed in order to reduce the number of controller actuation updates for multi-agent systems with limited resources. It is assumed that each follower in the system updates its state only at some instants which are determined by the proposed event-triggered condition. Both centralized and decentralized event-triggered strategies are proposed to solve the containment control problem. Convergence analysis is given with the help of matrix theory and Lyapunov method, and it is showed that the proposed strategy does not exhibit Zeno behaviors. Numerical simulations are given to illustrate the effectiveness of the theoretical results.