Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks | Zendy

Chengrong Xie | Zendy; Yuhua Xu | Zendy; Dongbing Tong | Zendy

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Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks

Author(s) -

Chengrong Xie,

Yuhua Xu,

Dongbing Tong

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/914140

Subject(s) - nonlinear system , synchronization (alternating current) , mean square , control theory (sociology) , complex network , mathematics , computer science , perturbation (astronomy) , stochastic process , controller (irrigation) , topology (electrical circuits) , invariance principle , control (management) , artificial intelligence , statistics , linguistics , physics , philosophy , combinatorics , quantum mechanics , agronomy , biology

We investigate the problem of adaptive mean square synchronization for nonlinear delayed coupled complex networks with stochastic perturbation. Based on the LaSalle invariance principle and the properties of the Weiner process, the controller and adaptive laws are designed to ensure achieving stochastic synchronization and topology identification of complex networks. Sufficient conditions are given to ensure the complex networks to be mean square synchronization. Furthermore, numerical simulations are also given to demonstrate the effectiveness of the proposed scheme

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