Consensus analysis of continuous‐time second‐order multi‐agent systems with nonuniform time‐delays and switching topologies | Zendy

Zhang Wenguang | Zendy; Liu Jizhen | Zendy; Zeng Deliang | Zendy; Yang Tingting | Zendy

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Consensus analysis of continuous‐time second‐order multi‐agent systems with nonuniform time‐delays and switching topologies

Author(s) -

Zhang Wenguang,

Liu Jizhen,

Zeng Deliang,

Yang Tingting

Publication year - 2013

Publication title -

asian journal of control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.769

H-Index - 53

eISSN - 1934-6093

pISSN - 1561-8625

DOI - 10.1002/asjc.659

Subject(s) - algebraic graph theory , network topology , multi agent system , mathematics , order (exchange) , topology (electrical circuits) , algebraic number , control theory (sociology) , strongly connected component , graph theory , consensus , graph , computer science , discrete mathematics , mathematical analysis , combinatorics , control (management) , finance , artificial intelligence , economics , operating system

In this study, consensus problems for second‐order multi‐agent systems with nonuniform and switching topologies are investigated. Each agent has a self‐delay, and each delay is independent of the others. As a measure of the disagreement dynamics, a class of positive semi‐definite L yapunov– K rasovskii functions are introduced. Using algebraic graph theory and these L yapunov– K rasovskii functions, sufficient conditions are derived by contradiction under which all agents asymptotically reach consensus. Finally, the effectiveness of the obtained theoretical results is demonstrated through numerical simulations.

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