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Group Synchronization of Nonlinear Complex Dynamics Networks with Sampled Data
Author(s) -
Man Li,
Bo Liu,
Yuqing Zhu,
Lijun Wang,
Zhou Mei
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/142061
Subject(s) - synchronization (alternating current) , nonlinear system , group (periodic table) , control theory (sociology) , mathematics , lyapunov function , state (computer science) , synchronization networks , complex network , stability theory , protocol (science) , computer science , topology (electrical circuits) , algorithm , physics , combinatorics , artificial intelligence , control (management) , medicine , alternative medicine , quantum mechanics , pathology
Based on a nonlinear consensus protocol, thispaper considers the group synchronization of complex dynamicalnetworks with sampled data. Using the Lyapunov method, thegroup synchronization of the nonlinear complex networks isanalyzed. All the nodes in each group can converge to their ownsynchronous state asymptotically, if the sampled period satisfiessome matrix inequality conditions. Furthermore, the theoreticalresults are verified by some simulations

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