Dynamical analysis and adaptive fuzzy control for the fractional-order financial risk chaotic system

被引：0
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作者：
Aceng Sukono
Shaobo Sambas
Heng He
Sundarapandian Liu
Yuyun Vaidyanathan
Jumadil Hidayat
机构：
[1] Universitas Padjadjaran,Department of Mathematics, Faculty of Mathematics and Natural Sciences
[2] Universitas Muhammadiyah Tasikmalaya,Department of Mechanical Engineering
[3] Hunan University of Arts and Science,School of Computer, Science and Technology
[4] Guangxi University for Nationalities,School of Science
[5] Vel Tech University,School of Electrical and Computing
[6] Universiti Malaysia Terengganu,Faculty of Business, Economics and Social Development
来源：
Advances in Difference Equations | / 2020卷
关键词：
Chaos; Financial risk system; Fractional-order model; Dynamical analysis; Adaptive fuzzy control;
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摘要：
In this paper, a fractional-order model of a financial risk dynamical system is proposed and the complex behavior of such a system is presented. The basic dynamical behavior of this financial risk dynamic system, such as chaotic attractor, Lyapunov exponents, and bifurcation analysis, is investigated. We find that numerical results display periodic behavior and chaotic behavior of the system. The results of theoretical models and numerical simulation are helpful for better understanding of other similar nonlinear financial risk dynamic systems. Furthermore, the adaptive fuzzy control for the fractional-order financial risk chaotic system is investigated on the fractional Lyapunov stability criterion. Finally, numerical simulation is given to confirm the effectiveness of the proposed method.
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