Geodesic
Finite-time synchronization of chaotic systems with noise perturbation
Kybernetika, Tome 51 (2015) no. 1, pp. 137-149 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 of the theoretical results.
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 of the theoretical results.
DOI : 10.14736/kyb-2015-1-0137
Classification : 34F05, 34H10, 93A14, 93C40
Keywords: synchronization; finite-time; noise perturbation; adaptive feedback controller 
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Wu, Jie; Ma, Zhi-cai; Sun, Yong-zheng; Liu, Feng. Finite-time synchronization of chaotic systems with noise perturbation. Kybernetika, Tome 51 (2015) no. 1, pp. 137-149. doi: 10.14736/kyb-2015-1-0137

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