Adaptive Synchronization of Time-Delay Chaotic Systems with Intermittent Control

Author:

Wang Yuangan1ORCID,Li Dong2

Affiliation:

1. School of Science , Beibu Gulf University , No.12, Binhai Avenue , Qinzhou , Guangxi 535000 , P. R. China

2. Department of Mathematics , Chongqing University , Shazhengjie 174 , Chongqing 400044 , P. R. China

Abstract

Abstract Time delay is a common but not negligible phenomenon in nonlinear systems, which affects the performance of synchronization. Based on principles of intermittent control and Lyapunov stability theories, we establish the synchronization criteria of the time-delay chaotic systems via adaptive intermittent control. The proposed control scheme is under aperiodically intermittent control, which is also extended to periodically intermittent control to better realization. Finally, to verify the effectiveness of our results, we choose the Lorenz system to do simulation.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

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