Finite-time consensus for stochastic multi-agent systems

被引：70

作者：

Zheng, Yuanshi ^{[1
]}

Chen, Weisheng ^{[2
]}

Wang, Long ^{[3
]}

机构：

[1] Xidian Univ, Ctr Complex Syst, Sch Mechanoelect Engn, Xian 710071, Peoples R China

[2] Xidian Univ, Dept Math, Xian 710071, Peoples R China

[3] Peking Univ, Coll Engn, Ctr Syst & Control, Beijing 100871, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2011年 / 84卷 / 10期

基金：

中国国家自然科学基金;

关键词：

stochastic multi-agent system; finite-time consensus; undirected graph; directed graph; STABILITY; NETWORKS; CONVERGENCE; DYNAMICS; BEHAVIOR; SEEKING; AGENTS;

D O I：

10.1080/00207179.2011.622792

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 article, we study the finite-time consensus in probability for stochastic multi-agent systems. First, we give the nonlinear consensus protocol for multi-agent systems with Gaussian white noise, and define the concept of finite-time consensus in probability. Second, we prove that multi-agent systems can achieve the finite-time consensus in probability under five different kinds of communication topologies by using graph theory, stochastic Lyapunov theory and probability theory. Finally, some simulation examples are provided to illustrate the effectiveness of the theoretical results.

引用

页码：1644 / 1652

页数：9

共 32 条

[1] CONSENSUS FOR NETWORKS WITH UNKNOWN BUT BOUNDED DISTURBANCES [J].

Bauso, D. ;

Giarre, L. ;

Pesenti, R. .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (03) :1756-1770

[2] Finite-time stability of continuous autonomous systems [J].

Bhat, SP ;

Bernstein, DS .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766

[3] Collective behavior of multi-agent network dynamic systems under internal and external random perturbations [J].

Chandra, J. ;

Ladde, G. S. .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) :1330-1344

[4] Finite-time stability theorem of stochastic nonlinear systems [J].

Chen, Weisheng ;

Jiao, L. C. .

AUTOMATICA, 2010, 46 (12) :2105-2108

[5] Complex emergent dynamics of anisotropic swarms: Convergence vs oscillation [J].

Chu, Tianguang ;

Wang, Long ;

Chen, Tongwen ;

Mu, Shumei .

CHAOS SOLITONS & FRACTALS, 2006, 30 (04) :875-885

[6] Finite-time convergent gradient flows with applications to network consensus [J].

Cortés, Jorge .

AUTOMATICA, 2006, 42 (11) :1993-2000

[7]

Godsil C., 2001, Algebraic graph theory

[8] Agreement over random networks [J].

Hatano, Y ;

Mesbahi, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) :1867-1872

[9] COORDINATION AND CONSENSUS OF NETWORKED AGENTS WITH NOISY MEASUREMENTS: STOCHASTIC ALGORITHMS AND ASYMPTOTIC BEHAVIOR [J].

Huang, Minyi ;

Manton, Jonathan H. .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (01) :134-161

[10] 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

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