×

zbMATH — the first resource for mathematics

Mean square consensus of second-order multi-agent systems under Markov switching topologies. (English) Zbl 1293.93691
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.

MSC:
93E03 Stochastic systems in control theory (general)
93A14 Decentralized systems
60J75 Jump processes (MSC2010)
93C10 Nonlinear systems in control theory
PDF BibTeX XML Cite
Full Text: DOI