Leader-follower consensus problems of multi-agent systems with noise perturbation and time delays

被引:19
作者
Yong-Zheng, Sun [1 ,2 ]
Jiong, Ruan [2 ]
机构
[1] China Univ Min & Technol, Sch Sci, Xuzhou 221008, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1088/0256-307X/25/9/107
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In light of the stability theory for stochastic differential delay equations, the leader-follower consensus problem with noise perturbation and communication time delays is investigated. Communication among agents is modelled as a weighted directed graph and the weights are stochastically perturbed with white noise. It is analytically proven that the consensus could be achieved almost surely with the perturbation of noise and communication time delays. Furthermore, numerical examples are provided to illustrate the effectiveness of the theoretical results.
引用
收藏
页码:3493 / 3495
页数:3
相关论文
共 20 条
[1]   Stability of leaderless discrete-time multi-agent systems [J].
Angeli, David ;
Bliman, Pierre-Alexandre .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2006, 18 (04) :293-322
[2]   Noise-induced phase transition: Zero-dimensional Brownian particles varying between ergodicity and nonergodicity [J].
Bai Zhan-Wu .
CHINESE PHYSICS LETTERS, 2008, 25 (04) :1213-1216
[3]   Collective behavior of interacting self-propelled particles [J].
Czirók, A ;
Vicsek, T .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 281 (1-4) :17-29
[4]   The physical position neighbourhood evolving network model [J].
Guan, Zhi-Hong ;
Wu, Zheng-Ping .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (01) :314-322
[5]  
HORN RA, 1985, MATRIX ANAL, P472
[6]   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
[7]   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
[8]   Robustness of exponential stability of stochastic differential delay equations [J].
Mao, X .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) :442-447
[9]   Stability of multiagent systems with time-dependent communication links [J].
Moreau, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :169-182
[10]   Coordinated collective motion in a motile particle group with a leader [J].
Mu, SM ;
Chu, TG ;
Wang, L .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 351 (2-4) :211-226