Exponential Synchronization of Stochastic Complex Dynamical Networks with Impulsive Perturbations and Markovian Switching | Zendy

Wuneng Zhou | Zendy; Anding Dai | Zendy; Dongbing Tong | Zendy; Jun Yang | Zendy

Open Access

Exponential Synchronization of Stochastic Complex Dynamical Networks with Impulsive Perturbations and Markovian Switching

Author(s) -

Wuneng Zhou,

Anding Dai,

Dongbing Tong,

Jun Yang

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 - 10.1155/2014/927858

Subject(s) - perturbation (astronomy) , lyapunov function , markov process , exponential function , mathematics , control theory (sociology) , statistical physics , synchronization (alternating current) , markov chain , complex network , dynamical systems theory , computer science , topology (electrical circuits) , physics , mathematical analysis , quantum mechanics , combinatorics , statistics , control (management) , nonlinear system , artificial intelligence

This paper investigates the exponential synchronization problem of stochastic complex dynamical networks with impulsive perturbation and Markovian switching. The complex dynamical networks consist of κ modes, and the networks switch from one mode to another according to a Markovian chain with known transition probability. Based on the Lyapunov function method and stochastic analysis, by employing M-matrix approach, some sufficient conditions are presented to ensure the exponential synchronization of stochastic complex dynamical networks with impulsive perturbation and Markovian switching, and the upper bound of impulsive gain is evaluated. At the end of this paper, two numerical examples are included to show the effectiveness of our results

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