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