Effects of Time-Varying Impulses on the Synchronization of Delayed Dynamical Networks | Zendy

Shuiming Cai | Zendy; Peipei Zhou | Zendy; Zengrong Liu | Zendy

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Effects of Time-Varying Impulses on the Synchronization of Delayed Dynamical Networks

Author(s) -

Shuiming Cai,

Peipei Zhou,

Zengrong Liu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/212753

Subject(s) - synchronizing , impulse (physics) , mathematics , topology (electrical circuits) , synchronization (alternating current) , control theory (sociology) , simple (philosophy) , interval (graph theory) , discrete time and continuous time , network topology , computer science , combinatorics , physics , statistics , control (management) , epistemology , quantum mechanics , artificial intelligence , operating system , philosophy

The effects of time-varying impulses on the synchronization of a class of general complex delayed dynamical networks are investigated. Different from the existing works, the impulses discussed here are time-varying, and both synchronizing and desynchronizing impulses are considered in the network modelsimultaneously. Moreover, the network topology is assumed to be directed and weakly connected with a spanning tree. By using the comparison principle,some simple yet generic globally exponential synchronization criteria are derived. It is shown that besides impulse strengths and impulsive interval,the obtained criteria are also closely related with topology structure of the network. Finally, numerical examples are given to demonstrate theeffectiveness of the theoretical results

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