Abstract and Applied Analysis

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

Jingyi Wang, Chen Xu, Jianwen Feng, Man Kam Kwong, and Francis Austin

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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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Abstr. Appl. Anal., Volume 2012 (2012), Article ID 298095, 18 pages.

First available in Project Euclid: 14 December 2012

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Wang, Jingyi; Xu, Chen; Feng, Jianwen; Kwong, Man Kam; Austin, Francis. Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control. Abstr. Appl. Anal. 2012 (2012), Article ID 298095, 18 pages. doi:10.1155/2012/298095. https://projecteuclid.org/euclid.aaa/1355495714

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