Synchronization of chaotic systems with uncertain chaotic parameters by linear coupling and pragmatical adaptive tracking.
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.
Ge
Zheng-Ming
ZM
Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan, Republic of China.
Yang
Cheng-Hsiung
CH
D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D016014:Linear Models; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*