Group Consensus of Second-Order Dynamic Multi-Agent Systems with Time-Varying Communication Delays and Directed Networks

Meng Shuanghe (), Xu Lü () and Chen Liang ()
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Meng Shuanghe: School of AutomationNanjing University of Science and Technology, Nanjing210094, China
Xu Lü: School of AutomationNanjing University of Science and Technology, Nanjing210094, China
Chen Liang: School of AutomationNanjing University of Science and Technology, Nanjing210094, China

Journal of Systems Science and Information, 2016, vol. 4, issue 3, 258-268

Abstract: This paper studies the group consensus problem for second-order multi-agent dynamic systems with time-varying delays, where the agents in a network may reach one more consistent values asymptotically. The fixed network topology is in case of being directed and weakly connected. Based on algebraic graph theory and Lyapunov function approach, we propose some sufficient conditions for reaching group consensus. All the results are presented in the form of linear matrix inequalities(LMIs). A simulation example is provided to demonstrate the effectiveness of the theoretical analysis.

Keywords: group consensus; second-order multi-agent systems; directed network; time-varying communication delays; LMIs (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:jossai:v:4:y:2016:i:3:p:258-268:n:6

DOI: 10.21078/JSSI-2016-258-11

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