Finite-time reduced order synchronization of uncertain chaotic systems with input nonlinearities via adaptive control

This study investigates the problem of finite-time reduced order synchronization of chaotic systems with uncertainties. Firstly, assume that the unknown parameters and uncertainties are norm-bounded, and then an adaptive scheme is introduced to estimate unknown parameters and uncertainties. Secondly, by employing the finite-time stability, an adaptive controller is constructed to realize the chaos synchronization in order to conquer the problem of nonlinear input of the controller. Finally, an example demonstrates the validity of the proposed controller.

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