Mean square consensus of second-order multi-agent systems under Markov switching topologies

Abstract

This paper studies the mean square consensus problems of second-order continuous-time multi-agent systems with and without non-linear 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 non-linear dynamics and noises are obtained under Markov switching directed topologies. Finally, simulation examples are given to show the effectiveness of the proposed methods.