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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.