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New Master-Slave Synchronization Criteria of Chaotic Lur’e Systems with Time-Varying-Delay Feedback Control

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author

Listed:
  • Kaibo Shi

    (University of Electronic Science and Technology of China, School of Automation Engineering)

  • Xinzhi Liu

    (University of Waterloo, Department of Applied Mathematics)

  • Hong Zhu

    (University of Electronic Science and Technology of China, School of Automation Engineering)

  • Shouming Zhong

    (University of Electronic Science and Technology of China, School of Mathematical Sciences)

Abstract

This study focuses on the issue of designing a time-delay output feedback controller for master-slave synchronization of chaotic Lur’e systems (CLSs). The time delay is assumed to be a time-varying continuous function which is bounded below and above by positive constants. By constructing an appropriate Lyapunov-Krasovskii functional (LKF), a novel delay-dependent synchronization condition is obtained. Besides, by employing a new free-matrix-based inequality (FMBI), the desired controller gain matrix can be achieved by solving a set of linear matrix inequalities (LMIs). Finally, one numerical example of Chua’s circle is given to illustrate the effectiveness and advantages of the proposed results.

Suggested Citation

  • Kaibo Shi & Xinzhi Liu & Hong Zhu & Shouming Zhong, 2016. "New Master-Slave Synchronization Criteria of Chaotic Lur’e Systems with Time-Varying-Delay Feedback Control," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 725-736, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_65
    DOI: 10.1007/978-3-319-30379-6_65
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