Exponential synchronization and anti-synchronization of nonautonomous chaotic systems with uncertain parameters via adaptive control

Xuefei Chen (), Bingyue Liu and Huizhao Liu
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Xuefei Chen: School of Science, Hebei University of Technology, Beichen, Tianjin 300401, P. R. China
Bingyue Liu: #x2020;Tianjin Transportation Technical College, Xiqing, Tianjin 300110, P. R. China
Huizhao Liu: School of Science, Hebei University of Technology, Beichen, Tianjin 300401, P. R. China

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 10, 1-13

Abstract: The exponential synchronization and anti-synchronization of nonautonomous chaotic systems with uncertain parameters are studied. The adaptive controller is designed and analytic expression of the controller and the adaptive laws of parameters are given. Based on the Lyapunov stability theory, the exponential stability of the error system is proved. Numerical simulations of two nonautonomous chaotic systems with uncertain parameters are presented to illustrate the ability and effectiveness of the proposed method.

Keywords: Nonautonomous chaotic systems; adaptive control; uncertain parameters; exponential synchronization; exponential anti-synchronization (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120501375

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