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In this Letter, a strategy for fast master–slave synchronization is proposed for Lur'e systems under PD control based on the free-weighting matrix approach and the S-procedure. The purpose of the derivative action is to improve the closed-loop stability and speed synchronization response. The proposed strategy covers the existing result for the proportional control alone as a special case. This approach is illustrated by the Chua's chaotic circuit system.
State Key Laboratory of Advanced Design and Manufactory for Vehicle Body, College of Mechanical and Automotive Engineering, Hunan University, Changsha, Hunan 410082, PR China