Exponential generalized synchronization of uncertain coupled chaotic systems by adaptive control |
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| Authors: | Rui-hong Li |
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| Affiliation: | 1. School of Science, Hubei University for Nationalities, Enshi, Hubei 445000, PR China;2. College of Computer Science, Civil Aviation Flight University of China, Guanghan, Sichuan 618307, PR China;1. Department of Industrial Engineering, University of Naples Federico II, Naples 80125, Italy;2. Department of Applied Mathematics IV, Universitat Politècnica de Catalunya, 08028 Barcelona, Spain;3. Institute of Industrial and Control Engineering, Universitat Politècnica de Catalunya, 08028 Barcelona, Spain;1. Bordeaux Institute of Technology, INP Enseirb-Matmeca, IMS-lab, 351 cours de la libération, 33405 Talence, France;2. Université de Lorraine, CRAN, UMR 7039, 2 avenue de la Forêt de Haye, Vandoeuvre-lès-Nancy Cedex 54516, France;3. CNRS, CRAN, UMR 7039, France |
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| Abstract: | In this paper, the exponential generalized synchronization for a class of coupled systems with uncertainties is defined. A novel and powerful method is proposed to investigate the generalized synchronization based on the adaptive control technique. According to the Lyapunov stability theory, rigorous proof is given for the exponential stability of error system. In comparison with previous schemes, the presented method shortens the synchronization time and is more applicable in practice. Besides, it is shown that the synchronization effect is robust against the uncertain factors. Some typical chaotic and hyper-chaotic systems are taken as examples to illustrate above approach. The corresponding numerical simulations are demonstrated to verify the effectiveness of proposed method. |
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