Mean‐Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time‐Varying Delays by Pinning Control | Zendy

Jingyi Wang | Zendy; Chen Xu | Zendy; Jianwen Feng | Zendy; Man Kam Kwong | Zendy; Francis Austin | Zendy

Open Access

Mean‐Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time‐Varying Delays by Pinning Control

Author(s) -

Jingyi Wang,

Chen Xu,

Jianwen Feng,

Man Kam Kwong,

Francis Austin

Publication year - 2012

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 - 10.1155/2012/298095

Subject(s) - mathematics , synchronization (alternating current) , exponential function , mean square , control theory (sociology) , exponential growth , control (management) , mathematical analysis , topology (electrical circuits) , combinatorics , computer science , artificial intelligence

This paper investigates the mean-square exponential synchronization of stochastic complex networks with Markovian switching and time-varying delays by using the pinning control method. The switching parameters are modeled by a continuous-time, finite-state Markov chain, and the complex network is subject to noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for mean-square exponential synchronization are obtained by using the Lyapunov-Krasovskii functional, Itö’s formula, and the linear matrix inequality (LMI), and numerical examples are given to demonstrate the validity of the theoretical results

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