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2013 Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control
Hongjie Li, Ming Chen, Shigen Shen, Lin Li
Abstr. Appl. Anal. 2013(SI56): 1-11 (2013). DOI: 10.1155/2013/621623

Abstract

This paper investigates the consensus problem for second-order leader-follower nonlinear multiagent systems with general network topologies. A pinning control algorithm is proposed, where it includes time-varying delay information. By using the information of delay-partition and delay-distribution and constructing an appropriate Lyapunov-Krasovskii functional, the consensus criteria are derived to achieve leader-follower consensus for multiagent systems, which are in the form of linear inequalities that can be solved by employing the semidefinite programme method. Moreover, this paper addresses what kind of agents and how many agents should be pinned. Two numerical examples are presented to further demonstrate the effectiveness of the proposed approach.

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Hongjie Li. Ming Chen. Shigen Shen. Lin Li. "Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control." Abstr. Appl. Anal. 2013 (SI56) 1 - 11, 2013. https://doi.org/10.1155/2013/621623

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095179
MathSciNet: MR3126762
Digital Object Identifier: 10.1155/2013/621623

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI56 • 2013
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