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Entropy 2016, 18(1), 29; doi:10.3390/e18010029

Distributed Consensus of Nonlinear Multi-Agent Systems on State-Controlled Switching Topologies

1
Faculty of Automation, Guangdong University of Technology, Guangzhou 510006, China
2
Department of Applied Mathematics, Guangdong University of Foreign Studies, Guangzhou 510006, China
*
Author to whom correspondence should be addressed.
Academic Editor: J. A. Tenreiro Machado
Received: 6 November 2015 / Revised: 3 January 2016 / Accepted: 11 January 2016 / Published: 18 January 2016
(This article belongs to the Section Complexity)
View Full-Text   |   Download PDF [426 KB, uploaded 18 January 2016]   |  

Abstract

This paper considers the consensus problem of nonlinear multi-agent systems under switching directed topologies. Specifically, the dynamics of each agent incorporates an intrinsic nonlinear term and the interaction topology may not contain a spanning tree at any time. By designing a state-controlled switching law, we show that the multi-agent system with the neighbor-based protocol can achieve consensus if the switching topologies jointly contain a spanning tree. Moreover, an easily manageable algebraic criterion is deduced to unravel the underlying mechanisms in reaching consensus. Finally, a numerical example is exploited to illustrate the effectiveness of the developed theoretical results. View Full-Text
Keywords: multi-agent systems; consensus; nonlinear systems; switching topologies; spanning tree multi-agent systems; consensus; nonlinear systems; switching topologies; spanning tree
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Chen, K.; Wang, J.; Zhang, Y. Distributed Consensus of Nonlinear Multi-Agent Systems on State-Controlled Switching Topologies. Entropy 2016, 18, 29.

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