Partial synchronization of chaotic systems with uncertainty.

We suggest an approach to partial synchronization of chaotic systems with uncertainty. This method contains two steps: (i) transforming the synchronization system into the canonical form by the well-known feedback linearization theory and (ii) finding a control signal to ensure the asymptotic stability of the canonical system. This partial synchronization approach requires very little system information by applying a finite-time convergence technique to estimate uncertainties caused by unknown states, parameters, or structure. We also argue in detail that this partial synchronization method can be extended to parameter identification, (sub)structure estimation, and even phase detection. Several examples are presented to illustrate the partial synchronization approach suggested.

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