Leader-following Consensus Control for Markov an Switching Multi-agent Systems with Interval Time-varying Delays

被引：0

作者：

Park, M. J. ^{[1
]}

Kwon, O. M. ^{[1
]}

Park, Ju H.

Lee, S. M.

Cha, E. J. ^{[2
]}

Lee, Tae H.

机构：

[1] Chungbuk Natl Univ, Sch Elect Engn, 52 Naesudong Ro, Cheongju 361763, South Korea

[2] Chungbuk Natl Univ, Dept Biomed Engn, Cheongju, South Korea

来源：

2013 9TH ASIAN CONTROL CONFERENCE (ASCC) | 2013年

基金：

新加坡国家研究基金会;

关键词：

Consensus; Multi-agent systems; Interval time-varying delay; Markovian switching topology; LMI; STABILITY; COORDINATION; INEQUALITY; AGENTS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers multi-agent systems with interval time-varying delays and Markovian switching interconnection topology. By construction of a suitable Lyapunov-Krasovskii functional and utilization of reciprocally convex approach, new delay-dependent consensus analysis and control for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.

引用

页数：6

共 28 条

[1]

Boyd S., 1994, LINEAR MATRIX INEQUA

[2] Analysis and stability of consensus in networked control systems [J].

DeLellis, Pietro ;

diBernardo, Mario ;

Garofalo, Franco ;

Liuzza, Davide .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (03) :988-1000

[3]

DEOLIVEIRA MC, 2001, STABILITY TESTS CONS, V268, P241

[4] New results on stabilization of Markovian jump systems with time delay [J].

Fei, Zhongyang ;

Gao, Huijun ;

Shi, Peng .

AUTOMATICA, 2009, 45 (10) :2300-2306

[5] STOCHASTIC STABILITY PROPERTIES OF JUMP LINEAR-SYSTEMS [J].

FENG, XB ;

LOPARO, KA ;

JI, YD ;

CHIZECK, HJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (01) :38-53

[6]

Godsil C., 2001, Algebraic graph theory

[7]

Graham A., 1982, Kronecker product and matrix calculus with applications

[8] An integral inequality in the stability problem of time-delay systems [J].

Gu, KQ .

PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810

[9] Lyapunov-based approach to multiagent systems with switching jointly connected interconnection [J].

Hong, Yiguang ;

Gao, Lixin ;

Cheng, Daizhan ;

Hu, Jiangping .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) :943-948

[10] 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

← 1 2 3 →