Synchronization of chaotic systems with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking.
, Yang CH
2008 Dec ; 18(4):043129.
Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan, Republic of China.
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We study the synchronization of general chaotic systems which satisfy the Lipschitz condition only, with uncertain chaotic 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-Yu-Chen 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.
PMID: 19123639 [PubMed - indexed for MEDLINE]