Control of a class of chaotic systems by a stochastic delay method

Lan Zhang; Cheng Jian Zhang; Dongming Zhao

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Finite-time synchronization of chaotic systems with noise perturbation

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In this paper, we investigate the finite-time stochastic synchronization problem of two chaotic systems with noise perturbation. We propose new adaptive controllers, with which we can synchronize two chaotic systems in finite time. Sufficient conditions for the finite-time stochastic synchronization are derived based on the finite-time stability theory of stochastic differential equations. Finally, some numerical examples are examined to demonstrate the effectiveness and feasibility...