Impulsive Control and Synchronization for Fractional-Order Hyper-Chaotic Financial System

Xinggui Li, Ruofeng Rao, Shouming Zhong, Xinsong Yang, Hu Li and Yulin Zhang
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Xinggui Li: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Ruofeng Rao: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Shouming Zhong: College of Mathematics, University of Electronic Science and Technology of China, Chengdu 611731, China
Xinsong Yang: College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China
Hu Li: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Yulin Zhang: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China

Mathematics, 2022, vol. 10, issue 15, 1-13

Abstract: This paper reports a new global Mittag-Leffler synchronization criterion with regard to fractional-order hyper-chaotic financial systems by designing the suitable impulsive control and the state feedback controller. The significance of this impulsive synchronization lies in the fact that the backward economic system can synchronize asymptotically with the advanced economic system under effective impulse macroeconomic management means. Matlab’s LMI toolbox is utilized to deduce the feasible solution in a numerical example, which shows the effectiveness of the proposed methods. It is worth mentioning that the LMI-based criterion usually requires the activation function of the system to be Lipschitz, but the activation function in this paper is fixed and truly nonlinear, which cannot be assumed to be Lipschitz continuous. This is another mathematical difficulty overcome in this paper.

Keywords: Mittag-Leffler stability; Caputo fractional-order derivative; non-Lipschitz continuity; hyper-chaotic financial system; Mittag-Leffler function; impulsive control; synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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