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Huang, Debin; Guo, Rongwei

Identifying parameter by identical synchronization between different systems. (English) Zbl 1080.37092

Chaos 14, No. 1, 152-159 (2004).
Summary: Here, parameters of a given (chaotic) dynamical system are estimated from time series by using identical synchronization between two different systems. This technique is based on the invariance principle of differential equations, i.e., a dynamical Lyapunov function involving synchronization error and the estimation error of parameters. The control used in this synchronization consists of feedback and adaptive control loop associated with the update law of estimation parameters. Our estimation process indicates that one may identify dynamically all unknown parameters of a given (chaotic) system as long as time series of the system are available. Lorenz and Rössler systems are used to illustrate the validity of this technique. The corresponding numerical results and analysis on the effect of noise are also given.

Cited in 26 Documents

MSC:

37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93B30 System identification
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\textit{D. Huang} and \textit{R. Guo}, Chaos 14, No. 1, 152--159 (2004; Zbl 1080.37092)
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