Adaptive finite-time generalized outer synchronization between two different dimensional chaotic systems with noise perturbation

Ma, Zhi-cai ; Wu, Jie ; Sun, Yong-zheng

Kybernetika, Tome 53 (2017) no. 5, pp. 838-852

Abstract (VO)

This paper is further concerned with the finite-time generalized outer synchronization between two different dimensional chaotic systems with noise perturbation via an adaptive controller. First of all, we introduce the definition of finite-time generalized outer synchronization between two different dimensional chaotic systems. Then, employing the finite-time stability theory, we design an adaptive feedback controller to realize the generalized outer synchronization between two different dimensional chaotic systems within a finite time. Moreover, we analyze the influence of control parameter on the synchronous speed. Finally, two typical examples are examined to illustrate the effectiveness and feasibility of the theoretical result.

Détail

DOI : 10.14736/kyb-2017-5-0838

Classification : 65L99, 70K99
Keywords: finite-time synchronization; different dimensional chaotic systems; adaptive control; noise perturbation

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