Containment consensus with measurement noises and time-varying communication delays

doi:10.1088/1674-1056/24/2/020203

Abstract In this paper, we consider the containment consensus control problem for multi-agent systems with measurement noises and time-varying communication delays under directed networks. By using stochastic analysis tools and algebraic graph theory, we prove that the followers can converge to the convex hull spanned by the leaders in the sense of mean square if the allowed upper bound of the time-varying delays satisfies a certain sufficient condition. Moreover, the time-varying delays are asymmetric for each follower agent, and the time-delay-dependent consensus condition is derived. Finally, numerical simulations are provided to illustrate the effectiveness of the obtained theoretical results.

Keywords: multi-agent systems containment consensus noise communication delays

Received: 01 November 2014
Revised: 15 November 2014
Accepted manuscript online:

PACS:	02.30.Yy	(Control theory)
	05.45.Xt	(Synchronization; coupled oscillators)
	05.65.+b	(Self-organized systems)
	89.75.-k	(Complex systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11102019), the Aeronautical Science Foundation of China (Grant No. 2013ZC72006), and the Research Foundation of Beijing Institute of Technology, China.

Corresponding Authors: Wang Zheng-Jie
E-mail: summit@bit.edu.cn

Cite this article:

Zhou Feng (周峰), Wang Zheng-Jie (王正杰), Fan Ning-Jun (范宁军) Containment consensus with measurement noises and time-varying communication delays 2015 Chin. Phys. B 24 020203

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Containment consensus with measurement noises and time-varying communication delays

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