Synchronization of delayed neural networks with Lévy noise and Markovian switching via sampled data

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• 作者：Jun Yang ; Wuneng Zhou ; Peng Shi ; Xueqing Yang ; Xianghui Zhou…
• 关键词：Lévy noise ; Lyapunov functional ; Markovian switching ; Neural networks ; Sampled ; data ; Synchronization
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：81
• 期：3
• 页码：1179-1189
• 全文大小：682 KB
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• 作者单位：Jun Yang (1) (2)
  Wuneng Zhou (1) (3)
  Peng Shi (4) (5)
  Xueqing Yang (1)
  Xianghui Zhou (1)
  Hongye Su (6)
  
  1. College of Information Sciences and Technology, Donghua University, Shanghai, 200051, China
  2. School of Mathematics and Statistics, Anyang Normal University, Anyang, 455000, China
  3. Engineering Research Center of Digitized Textile and Fashion Technology, Ministry of Education, Donghua University, Shanghai, 201620, China
  4. College of Automation, Harbin Engineering University, Harbin, 150001, Heilongjiang, China
  5. College of Engineering and Science, Victoria University, Melbourne, VIC, 8001, Australia
  6. The National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou, 310027, Zhejiang, China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

In this paper, the problem of synchronization via sampled-data control is considered for stochastic delayed neural networks with Lévy noise and Markovian switching. The purpose of the problem addressed is to derive a sufficient condition and a sampled-data control law such that the dynamics of the error system is stable in mean square, and thus the synchronization can be achieved for the master system and the slave system. By generalized It?’s formula and the construction of Lyapunov functional, an LMI-based sufficient condition is established to ensure the synchronization of the two systems. The control law is determined simultaneously, which depends on the switching mode, time delay, and the upper bound of sampling intervals. A numerical example is provided to verify the usefulness of the proposed criterion.