Couple-group consensus for second-order multi-agent systems with fixed and stochastic switching topologies

Huanyu Zhao, Ju H. Park and Yulin Zhang

Applied Mathematics and Computation, 2014, vol. 232, issue C, 595-605

Abstract: This paper deals with the couple-group consensus problem for second-order discrete-time multi-agent systems. Both the fixed topology case and the stochastic switching topology case are considered. The couple-group consensus problem is converted into the stability problem of the error system by a linear transformation. For the fixed topology case, we obtain two different conditions of couple-group consensus. For the stochastic switching topology case, we obtain a necessary and sufficient condition of mean-square couple-group consensus. Algorithms are provided to design the allowable control gains. Finally, simulation examples are given to show the usefulness of the theoretical results.

Keywords: Couple-group consensus; Multi-agent system; Fixed topology; Stochastic switching topology (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:595-605

DOI: 10.1016/j.amc.2014.01.018

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