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Master‐slave synchronization for coupled neural networks with Markovian switching topologies and stochastic perturbation
Authors:Jun Zhou  Tingting Cai  Wuneng Zhou  Dongbing Tong
Affiliation:1. School of Information Science & Technology, Donghua University, Shanghai, China;2. Information and Network Center, Southwest Forestry University, Kunming, China;3. Yunnan Forestry Technological College, Kunming, China;4. Engineering Research Center of Digitized Textile & Fashion Technology, Donghua University, Shanghai, China;5. School of Electrical and Electronic Engineering, Shanghai University of Engineering Science, Shanghai, China
Abstract:In this paper, the master‐slave synchronization for coupled neural networks with Markovian jumping topology and stochastic perturbation is discussed. Based on a graph theory, the ergodic property of the Markovian chain, and the strong law of the large numbers for local martingales, several sufficient conditions are established to ensure the almost sure exponential synchronization or asymptotic synchronization in mean square for coupled neural networks with Markovian jumping topology. By the pinning control method, the chaotic synchronization between the master system and the slave systems with stochastic disturbance is achieved. The effectiveness of the results is finally illustrated by a numerical example.
Keywords:chaotic synchronization  coupled neural networks  exponential synchronization  Markovian switching topologies  stochastic perturbation
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