Master-slave synchronization for coupled neural networks with Markovian switching topologies and stochastic perturbation
Jun Zhou
School of Information Science & Technology, Donghua University, Shanghai, China
Information and Network Center, Southwest Forestry University, Kunming, China
Search for more papers by this authorCorresponding Author
Tingting Cai
Yunnan Forestry Technological College, Kunming, China
Correspondence
Tingting Cai, Yunnan Forestry Technological College, Kunming 650224, China
Email: [email protected]
Wuneng Zhou, School of Information Sciences and Technology, Donghua University, Shanghai 200051, China; Engineering Research Center of Digitized Textile & Fashion Technology, Donghua University, Shanghai 201620, China
Email: [email protected]
Search for more papers by this authorCorresponding Author
Wuneng Zhou
School of Information Science & Technology, Donghua University, Shanghai, China
Engineering Research Center of Digitized Textile & Fashion Technology, Donghua University, Shanghai, China
Correspondence
Tingting Cai, Yunnan Forestry Technological College, Kunming 650224, China
Email: [email protected]
Wuneng Zhou, School of Information Sciences and Technology, Donghua University, Shanghai 200051, China; Engineering Research Center of Digitized Textile & Fashion Technology, Donghua University, Shanghai 201620, China
Email: [email protected]
Search for more papers by this authorDongbing Tong
School of Electrical and Electronic Engineering, Shanghai University of Engineering Science, Shanghai, China
Search for more papers by this authorJun Zhou
School of Information Science & Technology, Donghua University, Shanghai, China
Information and Network Center, Southwest Forestry University, Kunming, China
Search for more papers by this authorCorresponding Author
Tingting Cai
Yunnan Forestry Technological College, Kunming, China
Correspondence
Tingting Cai, Yunnan Forestry Technological College, Kunming 650224, China
Email: [email protected]
Wuneng Zhou, School of Information Sciences and Technology, Donghua University, Shanghai 200051, China; Engineering Research Center of Digitized Textile & Fashion Technology, Donghua University, Shanghai 201620, China
Email: [email protected]
Search for more papers by this authorCorresponding Author
Wuneng Zhou
School of Information Science & Technology, Donghua University, Shanghai, China
Engineering Research Center of Digitized Textile & Fashion Technology, Donghua University, Shanghai, China
Correspondence
Tingting Cai, Yunnan Forestry Technological College, Kunming 650224, China
Email: [email protected]
Wuneng Zhou, School of Information Sciences and Technology, Donghua University, Shanghai 200051, China; Engineering Research Center of Digitized Textile & Fashion Technology, Donghua University, Shanghai 201620, China
Email: [email protected]
Search for more papers by this authorDongbing Tong
School of Electrical and Electronic Engineering, Shanghai University of Engineering Science, Shanghai, China
Search for more papers by this authorSummary
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.
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