Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies

doi:10.1088/1674-1056/21/11/110508

Abstract We consider multi-agent systems with time-varying delays and switching interconnection topologies. By constructing a suitable Lyapunov-Krasovskii functional and using the reciprocally convex approach, new delay-dependent consensus criteria for the systems are established in terms of linear matrix inequalities (LMIs), which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

Keywords: consensus multi-agent systems time delay Lyapunov method

Received: 01 May 2012
Revised: 23 June 2012
Accepted manuscript online:

PACS:	05.65.+b	(Self-organized systems)
	02.10.Yn	(Matrix theory)

Fund: Project supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF), the Ministry of Education, Science and Technology, Korean (Grant Nos. 2012-0000479 and 2011-0009273), and the Korea Healthcare Technology R & D Project, Ministry of Health & Welfare, Republic of Korea (Grant No. A100054).

Corresponding Authors: O. M. Kwon
E-mail: madwind@chungbuk.ac.kr

Cite this article:

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee, E. J. Cha Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies 2012 Chin. Phys. B 21 110508

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Leader–following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies

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