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Synchronization of chaotic system with uncertain variable parameters by linear coupling and pragmatical adaptive tracking |
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| Authors: | Cheng-Hsiung Yang Shih-Yu Li Pu-Chien Tsen |
| Institution: | 1. Graduate Institute of Automation and Control, National Taiwan University of Science and Technology, 43 Section 4, Keelung Road, Taipei, 106, Taiwan, Republic of China 2. Institute of Electrical Control Engineering, National Chiao Tung University, Hsinchu, Taiwan, Republic of China 3. Brain Research Center, National Chiao Tung University, Hsinchu, Taiwan, Republic of China 4. Datan Power Plant, Taiwan Power Company, Taoyuan County, 328, Taiwan, Republic of China |
| Abstract: | We study the synchronization of general chaotic systems which satisfy the Lipschitz condition only, with uncertain variable parameters by linear coupling and pragmatical adaptive tracking. The uncertain parameters of a system vary with time due to aging, environment, and disturbances. A?sufficient condition is given for the asymptotical stability of common zero solution of error dynamics and parameter update dynamics by the Ge?CYu?CChen pragmatical asymptotical stability theorem based on equal probability assumption. Numerical results are studied for a Lorenz system and a quantum cellular neural network oscillator to show the effectiveness of the proposed synchronization strategy. |
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