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

Kaibo Shi (), Xinzhi Liu (), Hong Zhu () and Shouming Zhong ()
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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

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 725-736 from Springer

Abstract: 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.

Keywords: Master-slave Synchronization; Linear Matrix Inequalities (LMIs); Delay-dependent Synchronization Criteria; Proposed Results; Time-varying Continuous Function (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_65

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DOI: 10.1007/978-3-319-30379-6_65

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