Adaptive Impulsive Synchronization for a Class of Delay Fractional-Order Chaotic System
Changyou Wang,
Yuan Zhuo,
Xingcheng Pu,
Yonghong Li,
Rui Li
Issue:
Volume 6, Issue 2, December 2018
Pages:
69-74
Received:
13 October 2018
Accepted:
31 October 2018
Published:
14 December 2018
DOI:
10.11648/j.ajesa.20180602.11
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Abstract: This paper is concerned with the adaptive impulsive synchronization for a class of delay fractional-order chaotic system. Firstly, according to the impulsive differential equations theory and the adaptive control theory, the adaptive impulsive controller and the parametric update law are designed, respectively. Secondly, by constructing the suitable response system, the original fractional-order error system can be converted into the integral-order one. Finally, based on the Lyapunov stability theory and the generalized Barbalat’s lemma, some new sufficient conditions are derived to guarantee the asymptotic stability of synchronization error system.
Abstract: This paper is concerned with the adaptive impulsive synchronization for a class of delay fractional-order chaotic system. Firstly, according to the impulsive differential equations theory and the adaptive control theory, the adaptive impulsive controller and the parametric update law are designed, respectively. Secondly, by constructing the suitabl...
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