Global Stability and Synchronization of Markovian Switching Neural Networks with Stochastic Perturbation and Impulsive Delay

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• 作者：Wei Zhang ; Chuandong Li ; Tingwen Huang…
• 关键词：Markovian switching ; Neural networks ; Exponential synchronization ; Global stability ; Stochastic perturbation ; Impulsive delay
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：34
• 期：8
• 页码：2457-2474
• 全文大小：3,251 KB
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• 作者单位：Wei Zhang (1)
  Chuandong Li (1)
  Tingwen Huang (2)
  Jiangtao Qi (1)
  
  1. College of Computer Science, Chongqing University, Chongqing, 400044, People鈥檚 Republic of China
  2. Texas A&M University at Qatar, Doha, 5825, Qatar
  
• 刊物类别：Engineering
• 刊物主题：Electronic and Computer Engineering
  
• 出版者：Birkh盲user Boston
• ISSN：1531-5878

文摘

This paper focuses on the hybrid effects of Markovian switching, stochastic perturbation, and impulsive delay on neural networks. First, some novel generic criteria for Markovian switching neural networks with stochastic perturbation and impulsive delay are derived by establishing an extended Halanay differential inequality on impulsive dynamical systems. Second, our sufficient conditions ensuring synchronization are dependent on coupling and impulsive delay, and show coupling and impulsive effects on the synchronization of neural networks. Finally, simulation results demonstrate the effectiveness of the theoretical results.