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This paper presents a distributed Lyapunov-based control framework for achieving both complete and phase synchronization in a class of leader-follower multi-agent systems composed of identical chaotic agents. The proposed approach…

动力系统 · 数学 2025-11-25 Marzieh Basiri Abarghoei , Mohammad Reza Ahmadi Zand

This paper provides a unified method for analyzing chaos synchronization of the generalized Lorenz systems. The considered synchronization scheme consists of identical master and slave generalized Lorenz systems coupled by linear state…

混沌动力学 · 物理学 2008-07-15 Xiaofeng Wu , Guanrong Chen , Jianping Cai

This paper investigates the problem of synchronization for nonlinear systems. Following a Lyapunov approach, we firstly study global synchronization of nonlinear systems in canonical control form with both distributed…

动力系统 · 数学 2017-04-05 Davide Liuzza , Dimos V. Dimarogonas , Karl H. Johansson

Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied to prove that under some conditions…

混沌动力学 · 物理学 2009-09-30 Jianping Cai , Zhengzhong Yuan

The Lyapunov inequality is an indispensable tool for stability analysis in linear control theory. It provides a necessary and sufficient condition for the stability of an autonomous linear-time invariant system in terms of the existence of…

最优化与控制 · 数学 2025-12-24 Avinash Kumar

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

最优化与控制 · 数学 2019-06-06 Elyar Zavary , Mahdi Sojoodi

This paper addresses the problem of exponential and accelerated finite-time, as well as nearly fixed-time, stabilization of switched linear MIMO systems. The proposed approach relies on a generalized homogenization framework for switched…

系统与控制 · 电气工程与系统科学 2026-02-10 Moussa Labbadi , Andrey Polyakov , Denis Efimov

This paper investigates the robust stabilisation of a class of fractional-order non-linear systems via fixed-order dynamic output feedback controller in terms of linear matrix inequalities (LMIs). The systematic stabilisation algorithm…

最优化与控制 · 数学 2019-06-05 Elyar Zavary , Mahdi Sojoodi

In this paper we investigate a master-slave synchronization scheme of two n-dimensional non-autonomous chaotic systems coupled by sinusoidal state error feedback control, where parameter mismatch exists between the external harmonic…

混沌动力学 · 物理学 2009-09-30 Jianping Cai , Mihua Ma , Xiaofeng Wu

A method of targeting engineering synchronization states in two identical and mismatch chaotic systems is explained in details. The method is proposed using linear feedback controller coupling for engineering synchronization such as mixed…

混沌动力学 · 物理学 2015-06-16 Sourav K. Bhowmick , Dibakar Ghosh

We consider the problem of synchronizing a multi-agent system (MAS) composed of several identical linear systems connected through a directed graph.To design a suitable controller, we construct conditions based on Bilinear Matrix…

多智能体系统 · 计算机科学 2024-01-24 Nicola Zaupa , Luca Zaccarian , Isabelle Queinnec , Sophie Tarbouriech , Giulia Giordano

Based on the principle of chaotification for continuous-time autonomous systems, which relies on two basic properties of chaos, i.e., globally bounded with necessary positive-zero-negative Lyapunov exponents, this paper derives a feasible…

混沌动力学 · 物理学 2016-12-21 Simin Yu , Guanrong Chen

We present the first report on chaos synchronization between two unidirectionally linearly and nonlinearly coupled systems with multiple time-delays and using the Razumikhin-Lyapunov approach find the existence and stability conditions for…

混沌动力学 · 物理学 2009-11-10 E. M. Shahverdiev

We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving trajectory is linearly stable to…

chao-dyn · 物理学 2009-10-30 Reggie Brown , Nikolai F. Rulkov

This study addresses a distributed state feedback controller design problem for continuous-time linear time-invariant systems by means of linear matrix inequalities (LMIs). As structural constraints on a control gain result in non-convexity…

最优化与控制 · 数学 2025-11-19 Yuto Watanabe , Sotaro Fushimi , Kazunori Sakurama

Output feedback controlled synchronization problems for a class of nonlinear unstable systems under information constraints imposed by limited capacity of the communication channel are analyzed. A binary time-varying coder-decoder scheme is…

最优化与控制 · 数学 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

This paper presents a synthesis approach aiming to guarantee a minimum upper-bound for the time taken to reach a target set of non-zero measure that encompasses the origin, while taking into account uncertainties and input and state…

系统与控制 · 电气工程与系统科学 2026-04-21 Víctor Costa da Silva Campos , Mariella Maia Quadros , Luciano Frezzato , Leonardo Mozelli , Anh-Tu Nguyen

We study stability criteria for discrete-time switched systems and provide a meta-theorem that characterizes all Lyapunov theorems of a certain canonical type. For this purpose, we investigate the structure of sets of LMIs that provide a…

最优化与控制 · 数学 2018-01-24 Raphael M. Jungers , Amirali Ahmadi , Pablo Parrilo , Mardavij Roozbehani

Synchronization of fractional-order chaotic systems is a hot topic in the field of nonlinear study. The co-coupled synchronization between two fractional-order chaotic systems with different initial conditions is investigated in this paper.…

混沌动力学 · 物理学 2009-09-15 Kehui Sun , Jian Ren , Shuisheng Qiu

In this work, we propose the design and analysis of a novel continuous robust controller for a class of multi--input multi--output (MIMO) nonlinear uncertain systems. The systems under consideration contains unstructured uncertainties in…

最优化与控制 · 数学 2013-01-24 Baris Bidikli , Enver Tatlicioglu , Erkan Zergeroglu , Alper Bayrak
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