Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology | Zendy

Bo Liu | Zendy; Xiaoling Wang | Zendy; Yanping Gao | Zendy; Guangming Xie | Zendy; Housheng Su | Zendy

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Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology

Author(s) -

Bo Liu,

Xiaoling Wang,

Yanping Gao,

Guangming Xie,

Housheng Su

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/818242

Subject(s) - lipschitz continuity , differential inclusion , synchronization (alternating current) , topology (electrical circuits) , control theory (sociology) , node (physics) , differential (mechanical device) , state (computer science) , coupling (piping) , computer science , network topology , mathematics , mathematical optimization , mathematical analysis , algorithm , physics , control (management) , mechanical engineering , combinatorics , quantum mechanics , artificial intelligence , engineering , thermodynamics , operating system

This paper investigates the adaptive synchronization of complex dynamical networks satisfying the local Lipschitz condition with switching topology. Based on differential inclusion and nonsmooth analysis, it is proved that all nodes can converge to the synchronous state, even though only one node is informed by the synchronous state via introducing decentralized adaptive strategies to the coupling strengths and feedback gains. Finally, some numerical simulations are worked out to illustrate the analytical results

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