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Global Lagged Finite-Time Synchronization of Two Chaotic Lur’e Systems Subject to Time Delay

Yun Chen

Department of Information Security, Naval University of Engineering, Wuhan 430033, P. R. China

E-mail Address: mathyun@sina.com

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Xiaofeng Wu

Department of Mathematics, Minnan Normal University, Zhangzhou 363000, P. R. China

E-mail Address: mathwxf@sina.com

Author for correspondence.

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, and

Qian Lin

College of Electronic Engineering, Naval University of Engineering, Wuhan 430033, P. R. China

E-mail Address: linqian19825@gmail.com

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https://doi.org/10.1142/S0218127415501618Cited by:5 (Source: Crossref)

Abstract

This paper investigates the global lagged finite-time synchronization of the master-slave Lur’e systems subject to time delay of signal transmission. By designing a variable-substitution and feedback controller, a master-slave finite-time synchronization scheme for the Lur’e systems with time delay is built up. Two delay-independent global lagged finite-time synchronization criteria are proved in the forms of linear matrix inequalities (LMIs), and the corresponding settling time of synchronization is analytically estimated. The obtained LMI criteria are applied to Chua’s oscillators, obtaining some easily implemented algebraic criteria under various single-variable-substitution and feedback controller, which are then optimized to improve their conservative property. Finally, several numerical examples are illustrated to verify the effectiveness of the optimized criteria.

Keywords:

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