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Adaptive synchronization between two different chaotic systems with unknown parameters |
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| Authors: | Huaguang Zhang Wei Huang Zhiliang Wang Tianyou Chai |
| Institution: | aSchool of Information Science and Engineering, Northeastern University, Shenyang 110004, China bSchool of Petrochemical Technology, Liaoning University of Petroleum & Chemical Technology, Fushun 113001, China cResearch Center of Automation, Northeastern University, Shenyang 110004, China |
| Abstract: | A unified mathematical expression describing a class of chaotic systems is presented, for which the problem of adaptive synchronization between two different chaotic systems with unknown parameters has been studied. Based on Lyapunov stability theory, an adaptive synchronization controller is designed and analytic expression of the controller and the adaptive laws of parameters are developed. The adaptive synchronizations between Lorenz and Chen systems, a modified Chua's circuit and Rössler systems are taken as two illustrative examples to show the effectiveness of the proposed method. |
| Keywords: | Chaotic system Adaptive chaos synchronization Different structure Unknown parameter |
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