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Mean square containment control problems of multi-agent systems under Markov switching topologies. (English) Zbl 1422.93009
Summary: The paper investigates containment control for multi-agent systems under Markov switching topologies. By using graph theory and the tools of stochastic analysis, sufficient conditions of mean square containment control problems are derived for the second-order multi-agent systems. Then the obtained results are further extended to high-order multi-agent systems.

MSC:
93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
93E03 Stochastic systems in control theory (general)
93C55 Discrete-time control/observation systems
93E15 Stochastic stability in control theory
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