Miao, Guoying; Xu, Shengyuan; Zhang, Baoyong; Zou, Yun Mean square consensus of second-order multi-agent systems under Markov switching topologies. (English) Zbl 1293.93691 IMA J. Math. Control Inf. 31, No. 2, 151-164 (2014). Summary: This paper studies the mean square consensus problems of second-order continuous-time multi-agent systems with and without nonlinear dynamics under the Markov switching topologies, respectively. Under the proposed consensus protocols, sufficient conditions for mean square consensus of multi-agent systems with noises are derived under Markov switching directed topologies, while necessary and sufficient conditions for mean square consensus of multi-agent systems without nonlinear dynamics and noises are obtained under Markov switching directed topologies. Finally, simulation examples are given to show the effectiveness of the proposed methods. Cited in 5 Documents MSC: 93E03 Stochastic systems in control theory (general) 93A14 Decentralized systems 60J75 Jump processes (MSC2010) 93C10 Nonlinear systems in control theory Keywords:consensus; nonlinear dynamics; second-order multi-agent systems; Markov switching topologies PDF BibTeX XML Cite \textit{G. Miao} et al., IMA J. Math. Control Inf. 31, No. 2, 151--164 (2014; Zbl 1293.93691) Full Text: DOI