access icon free Consensus analysis of multi-agent systems under switching topologies by a topology-dependent average dwell time approach

This study addresses the consensus problem for a class of any order multi-agent systems under switching topologies which could include kinds of unconsensusable topologies. The consensus problem, depending on structure properties and the corresponding topology, is researched with fixed structure properties under directed switching topologies. By the properties of Laplacian matrix, the consensus problem for multi-agent systems is converted into the stability problem of the corresponding switched systems with a Laplacian-like matrix. Some sufficient conditions for consensus are presented by using the dwell time approach. Finally, numerical examples and the results of computer simulation are given to verify the theoretical analysis.

Inspec keywords: directed graphs; switching systems (control); stability; matrix algebra; multi-agent systems

Other keywords: directed switching topology; switched systems; multiagent systems; stability problem; Laplacian matrix; topology-dependent average dwell time approach; fixed structure property; consensus analysis; sufficient conditions

Subjects: Time-varying control systems; Combinatorial mathematics; Algebra; Stability in control theory

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