Novel integral inequality approach on master–slave synchronization of chaotic delayed Lur'e systems with sampled-data feedback control

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• 作者：Kaibo Shi ; Xinzhi Liu ; Hong Zhu ; Shouming Zhong ; Yajuan Liu ; Chun Yin
• 关键词：Chaotic Lur’e system ; Synchronization ; Sampled ; data control ; Wirtinger ; based integral inequality ; Lyapunov–Krasovskii functional
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：83
• 期：3
• 页码：1259-1274
• 全文大小：3,415 KB
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• 作者单位：Kaibo Shi (1)
  Xinzhi Liu (2) (3)
  Hong Zhu (1)
  Shouming Zhong (4)
  Yajuan Liu (5)
  Chun Yin (1)
  
  1. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China
  2. Department of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
  3. Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada
  4. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China
  5. Department of Electronic Engineering, Daegu University, Gyeongsan, 712-714, Republic of Korea
  
• 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

This paper proposes a novel approach to study the problem of master–slave synchronization for chaotic delayed Lur’e systems with sampled-data feedback control. Specifically, first, it is assumed that the sampling intervals are randomly variable but bounded. By getting the utmost out of the usable information on the actual sampling pattern and the nonlinear part condition, a newly augmented Lyapunov–Krasovskii functional is constructed via a more general delay-partition approach. Second, in order to obtain less conservative synchronization criteria, a novel integral inequality is developed by the mean of the new adjustable parameters. Third, a longer sampling period is achieved by using a double integral form of Wirtinger-based integral inequality. Finally, three numerical examples with simulations of Chua’s circuit are given to demonstrate the effectiveness and merits of the proposed methods.