Leaderless and leader-following consensus of multi-agent chaotic systems with unknown time delays and switching topologies

被引：42

作者：

Cui, Bing ^{[1
]}

Zhao, Chunhui ^{[1
]}

Ma, Tiedong ^{[2
]}

Feng, Chi ^{[1
]}

机构：

[1] Harbin Engn Univ, Coll Informat & Commun Engn, Harbin 150001, Peoples R China

[2] Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2017年 / 24卷

基金：

中国国家自然科学基金;

关键词：

Synchronization of multi-agent system; Chaotic systems; Time delays; Switching topologies; Directed intermittent communications; EXPONENTIAL SYNCHRONIZATION; PINNING SYNCHRONIZATION; LYAPUNOV FUNCTIONS; DIRECTED NETWORKS; COMPLEX NETWORKS; NEURAL-NETWORKS; TRACKING; FEEDBACK;

D O I：

10.1016/j.nahs.2016.11.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper the distributed consensus problem for a class of multi-agent chaotic systems with unknown time delays under switching topologies and directed intermittent communications is investigated. Each agent is modeled as a general nonlinear system including many chaotic systems with or without time delays. Based on the Lyapunov stability theory and graph theory, some sufficient conditions guarantee the exponential convergence. A graph-dependent Lyapunov proof provides the definite relationship among the bound of unknown time delays, the admissible communication rate and each possible topology duration. Moreover, the relationship reveals that these parameters have impacts on both the convergence speed and control cost. The case with leader-following communication graph is also addressed. Finally, simulation results verify the effectiveness of the proposed method. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：115 / 131

页数：17

共 44 条

[1] Exponential stability in p-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations [J].

Baker, CTH ;

Buckwar, E .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 184 (02) :404-427

[2] The synchronization of chaotic systems [J].

Boccaletti, S ;

Kurths, J ;

Osipov, G ;

Valladares, DL ;

Zhou, CS .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101

[3] Synchronization criteria of Lur'e systems with time-delay feedback control [J].

Cao, JD ;

Li, HX ;

Ho, DWC .

CHAOS SOLITONS & FRACTALS, 2005, 23 (04) :1285-1298

[4] An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination [J].

Cao, Yongcan ;

Yu, Wenwu ;

Ren, Wei ;

Chen, Guanrong .

IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2013, 9 (01) :427-438

[5] Adaptive Consensus Control for a Class of Nonlinear Multiagent Time-Delay Systems Using Neural Networks [J].

Chen, C. L. Philip ;

Wen, Guo-Xing ;

Liu, Yan-Jun ;

Wang, Fei-Yue .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (06) :1217-1226

[6] Synchronization of an uncertain unified chaotic system via adaptive control [J].

Chen, SH ;

Lü, JH .

CHAOS SOLITONS & FRACTALS, 2002, 14 (04) :643-647

[7] A Mean Square Consensus Protocol for Linear Multi-Agent Systems With Communication Noises and Fixed Topologies [J].

Cheng, Long ;

Hou, Zeng-Guang ;

Tan, Min .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (01) :261-267

[8] Sampled-data based average consensus of second-order integral multi-agent systems: Switching topologies and communication noises [J].

Cheng, Long ;

Wang, Yunpeng ;

Hou, Zeng-Guang ;

Tan, Min ;

Cao, Zhiqiang .

AUTOMATICA, 2013, 49 (05) :1458-1464

[9] Leader-following consensus of nonlinear multi-agent systems with switching topologies and unreliable communications [J].

Cui, Bing ;

Zhao, Chunhui ;

Ma, Tiedong ;

Feng, Chi .

NEURAL COMPUTING & APPLICATIONS, 2016, 27 (04) :909-915

[10] Distributed adaptive consensus control of heterogeneous multi-agent chaotic systems with unknown time delays [J].

Cui, Bing ;

Ma, Tiedong ;

Lewis, Frank L. ;

Zhao, Chunhui ;

Song, Yongduan ;

Feng, Chi .

IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (16) :2414-2422

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