Kybernetika 53 no. 5, 838-852, 2017

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

Zhi-cai Ma, Jie Wu and Yong-zheng SunDOI: 10.14736/kyb-2017-5-0838

Abstract:

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.

Keywords:

adaptive control, finite-time synchronization, noise perturbation, different dimensional chaotic systems

Classification:

65L99, 70K99

paper.pdf

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