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Synchronization Criteria for Complex Dynamical Networks with State and Coupling Time‐Delays
Author(s) -
Kazemy Ali
Publication year - 2017
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.1340
Subject(s) - synchronization (alternating current) , control theory (sociology) , complex network , synchronization networks , state (computer science) , coupling (piping) , dynamical systems theory , linear matrix inequality , mathematics , node (physics) , computer science , matrix (chemical analysis) , topology (electrical circuits) , mathematical optimization , control (management) , algorithm , physics , engineering , artificial intelligence , mechanical engineering , materials science , combinatorics , quantum mechanics , composite material
This paper is concerned with the problem of synchronization of complex dynamical networks with state and coupling time‐delays. Therefore, larger class and more complicated complex dynamical networks could be considered for the synchronization problem. Based on the Lyapunov‐Krasovskii functional, some delay‐independent and delay‐dependent criteria are obtained and formulated in the form of linear matrix inequalities (LMIs) to ascertain the synchronization between each node of the complex dynamical network. The effectiveness of the proposed method is illustrated using some numerical simulations.