Outer Synchronization between Complex Networks with Nonlinear Time-Delay Characteristics and Time-Varying Topological Structures | Zendy

Xinli Fang | Zendy; Qiang Yang | Zendy; Wenjun Yan | Zendy

Open Access

Outer Synchronization between Complex Networks with Nonlinear Time-Delay Characteristics and Time-Varying Topological Structures

Author(s) -

Xinli Fang,

Qiang Yang,

Wenjun Yan

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 - 10.1155/2014/437673

Subject(s) - synchronization (alternating current) , control theory (sociology) , correctness , nonlinear system , lyapunov stability , topology (electrical circuits) , context (archaeology) , lyapunov function , convergence (economics) , network topology , computer science , chaotic , synchronization of chaos , mathematics , control (management) , algorithm , paleontology , physics , combinatorics , quantum mechanics , artificial intelligence , economics , biology , economic growth , operating system

This paper exploits the network outer synchronization problem in a generic context for complex networks with nonlinear time-delay characteristics and nonidentical time-varying topological structures. Based on the classic Lyapunov stability theory, the synchronization criteria and adaptive control strategy are presented, respectively, by adopting an appropriate Lyapunov-Krasovskii energy function and the convergence of the system error can also be well proved. The existing results of network outer synchronization can be obtained by giving certain conditions, for example, treating the coupling matrices as time-invariant, and by applying the suggested generic synchronization criteria and control scheme. The numerical simulation experiments for networks scenarios with dynamic chaotic characteristics and time-varying topologies are carried out and the result verifies the correctness and effectiveness of the proposed control solution

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