Leader-following consensus of second-order agents with multiple time-varying delays

被引：383

作者：

Zhu, Wei ^{[1
,2
]}

Cheng, Daizhan ^{[2
]}

机构：

[1] Chongqing Univ Posts & Telecommun, Key Lab Network Control & Intelligent Instrument, Minist Educ, Chongqing 400065, Peoples R China

[2] Chinese Acad Sci, Key Lab Syst & Control AMSS, Beijing 100080, Peoples R China

来源：

AUTOMATICA | 2010年 / 46卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Multi-agent system; Consensus; Time varying delay; Fixed topology; Switching topology; MULTIAGENT SYSTEMS; AVERAGE CONSENSUS; STABILITY; NETWORKS;

D O I：

10.1016/j.automatica.2010.08.003

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 a leader-following consensus problem of second-order multi-agent systems with fixed and switching topologies as well as non-uniform time-varying delays is considered For the case of fixed topology a necessary and sufficient condition is obtained For the case of switching topology a sufficient condition is obtained under the assumption that the total period over which the leader is globally reachable is sufficiently large We not only prove that a consensus is reachable asymptotically but also give an estimation of the convergence rate An example with simulation is presented to illustrate the theoretical results (C) 2010 Elsevier Ltd All rights reserved

引用

页码：1994 / 1999

页数：6

共 14 条

[1] An extension of LaSalle's invariance principle and its application to multi-agent consensus [J].

Cheng, Daizhan ;

Wang, Jinhuan ;

Hu, Xiaoming .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (07) :1765-1770

[2] Information flow and cooperative control of vehicle formations [J].

Fax, JA ;

Murray, RM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1465-1476

[3]

GHABCHELOO R, 2007, P IEEE C DEC CONTR

[4] Leader-foll owing coordination of multi-agent systems with coupling time delays [J].

Hu, Jiangping ;

Hong, Yiguang .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 374 (02) :853-863

[5] Coordination of groups of mobile autonomous agents using nearest neighbor rules [J].

Jadbabaie, A ;

Lin, J ;

Morse, AS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) :988-1001

[6] Average consensus in networks of multi-agents with both switching topology and coupling time-delay [J].

Lin, Peng ;

Jia, Yingmin .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (01) :303-313

[7] Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies [J].

Lin, Peng ;

Jia, Yingmin .

AUTOMATICA, 2009, 45 (09) :2154-2158

[8] Stability of multiagent systems with time-dependent communication links [J].

Moreau, L .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :169-182

[9] Consensus problems in networks of agents with switching topology and time-delays [J].

Olfati-Saber, R ;

Murray, RM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1520-1533

[10] Leader-following consensus problem with a varying-velocity leader and time-varying delays [J].

Peng, Ke ;

Yang, Yupu .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (2-3) :193-208

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