Cluster Synchronization of Impulsive Complex Networks with Stochastic Perturbations and Time-Varying Delays | Zendy

Yi Zhao | Zendy; Jianwen Feng | Zendy; Jingyi Wang | Zendy

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Cluster Synchronization of Impulsive Complex Networks with Stochastic Perturbations and Time-Varying Delays

Author(s) -

Yi Zhao,

Jianwen Feng,

Jingyi Wang

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 - 10.1155/2013/678543

Subject(s) - synchronization (alternating current) , linear matrix inequality , complex network , cluster (spacecraft) , lyapunov stability , perturbation (astronomy) , control theory (sociology) , computer science , stability (learning theory) , mathematics , lyapunov function , mathematical optimization , topology (electrical circuits) , nonlinear system , physics , control (management) , combinatorics , quantum mechanics , artificial intelligence , machine learning , world wide web , programming language

This paper investigates the cluster synchronization of impulsive complex networks with stochastic perturbation and time-varying delays. Besides, the nodes in the complex networks are nonidentical. By utilizing the Lyapunov stability theory, stochastic analysis theory, and linear matrix inequalities (LMI), sufficient conditions are derived to guarantee the cluster synchronization. The numerical simulation is provided to show the effectiveness of the theoretical results

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