Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (8): 1009-1018.doi: https://doi.org/10.1007/s10483-010-1336-6
C.K.AHN
C.K.AHN
摘要: In this paper, a new passivity-based synchronization method for a general class of chaotic systems is proposed. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation studies for the Genesio-Tesi chaotic system and the Qi chaotic system are presented to demonstrate the effectiveness of the proposed scheme.
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