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Uniform synchronization in multi‐agent systems with switching topologies
Author(s) -
Monshizadeh Nima,
Trentelman Harry L.,
Camlibel M. Kanat
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3387
Subject(s) - synchronization (alternating current) , network topology , passivity , control theory (sociology) , topology (electrical circuits) , observer (physics) , computer science , multi agent system , set (abstract data type) , synchronization networks , mathematics , control (management) , engineering , computer network , physics , combinatorics , quantum mechanics , artificial intelligence , electrical engineering , programming language
Summary This paper deals with uniform synchronization analysis of multi‐agent systems with switching topologies. The agents are assumed to have general, yet identical, linear dynamics. The underlying communication topology may switch arbitrarily within a finite set of admissible topologies. We establish conditions under which the network is uniformly synchronized meaning that synchronization is valid under all possible switching scenarios. The primary conditions established are in terms of a pair of Lyapunov strict inequalities. Following those conditions, small gain and passivity types of conditions are proposed under which uniform synchronization is guaranteed. The proposed results are also extended to the case of observer‐based protocols. Copyright © 2015 John Wiley & Sons, Ltd.