金融不确定分数阶混沌系统滑模同步的3种控制方案

Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (5): 1183-1188.

Previous Articles Next Articles

Three Control Schemes of Sliding Mode Synchronization of Financial Uncertain Fractional-Order Chaotic Systems

MAO Beixing， WANG Dongxiao

College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, China

Received:2021-11-16 Online:2022-09-26 Published:2022-09-26

Abstract

Abstract: Three schemes were used to study the adaptive sliding mode synchronization of financial uncertain fractional-order chaotic systems. Three sufficient conditions for financial uncertain fractional-order chaotic systems to achieve sliding mode synchronization were obtained according to the fractional-order sliding mode control theory. The three control schemes were compared, and the obtained conclusions were verified.

Key words: fractional-order, uncertain, sliding mode, synchronization

CLC Number:

O415.5

MAO Beixing, WANG Dongxiao. Three Control Schemes of Sliding Mode Synchronization of Financial Uncertain Fractional-Order Chaotic Systems[J].Journal of Jilin University Science Edition, 2022, 60(5): 1183-1188.

[1]	FU Haiyan, LEI Tengfei, HE Jinman, ZANG Hongyan. ADM Solution and Dynamic Analysis of Fractional-Order Chaotic System with Nonlinear Delay [J]. Journal of Jilin University Science Edition, 2022, 60(2): 432-438.
[2]	WANG Chunyan, DI Jinhong, MAO Beixing. Adaptive Sliding Mode Synchronization of Uncertain Fractional-Order Atmospheric Chaotic System [J]. Journal of Jilin University Science Edition, 2022, 60(2): 439-444.
[3]	MAO Beixing, ZHANG Youlin. Adaptive Sliding Mode Synchronization of Three-Dimensional Fractional-Order Uncertain Chaotic Systems [J]. Journal of Jilin University Science Edition, 2021, 59(6): 1545-1550.
[4]	QIAN Rong, XIAO Min, WANG Lu. Stability Analysis of Fractional-Order SIR Epidemic Models with Different Orders [J]. Journal of Jilin University Science Edition, 2021, 59(4): 796-806.
[5]	NAN Hua, XUAN Dongping, HU Xiaohui. Uncertainty Relations of Angular Momentum Components for Spin -1 [J]. Journal of Jilin University Science Edition, 2021, 59(4): 961-964.
[6]	XU Rongjin, LI Muzi, YUE Lijuan. Adaptive Synchronization of a Grid Multi-scroll Hyper-chaotic System with Unknown Parameters [J]. Journal of Jilin University Science Edition, 2021, 59(4): 965-971.
[7]	FAN Hehua, ZHOU Yongwei, LEI Tengfei, MAO Beixing. Self-adaptive Sliding Mode Synchronization of Fractional-Order Rucklidge Systems Based on Logarithmic Type Sliding Mode Surface [J]. Journal of Jilin University Science Edition, 2021, 59(3): 659-664.
[8]	WANG Dongxiao, LEI Tengfei, MAO Beixing. Adaptive Sliding Mode Synchronization of Fractional-Order Sprott-F Uncertain Chaotic Systems [J]. Journal of Jilin University Science Edition, 2021, 59(2): 384-390.
[9]	LI Hui, CHU Huilian, ZHAO Qiliang, LIU Yue. Synchronous Circuit Design of Brushless DC Motor [J]. Journal of Jilin University Science Edition, 2021, 59(1): 162-167.
[10]	MAO Beixing, WANG Dongxiao. Self-adaptive Sliding Mode Synchronization of Fractional-Order Nonlinear Chaotic Systems with Outer Disturbances and Uncertainty [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1237-1242.
[11]	LI Dekui. Generalized Modified Functional Projective Synchronizationof Chaotic System and Its Circuit Simulation [J]. Journal of Jilin University Science Edition, 2020, 58(2): 397-402.
[12]	MAO Beixing. FiniteTime Synchronization of FractionalOrder Uncertain Like-Bao System [J]. Journal of Jilin University Science Edition, 2020, 58(1): 145-150.
[13]	GAN Xiaoting, XU Dengguo, ZHAO Renqing. Finite Volume Method of Option Pricing Modelunder Uncertain Volatility [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1095-1103.
[14]	ZHAO Dan, SUN Xiangkai. MondWeir Type Approximate Duality for a Class of Robust Convex Optimization [J]. Journal of Jilin University Science Edition, 2019, 57(3): 539-543.
[15]	LIU Gang, TANG Dongkai, WANG Hongmei, HU Ming. Uncertain Data Generation Algorithm Based on Outlier Factor [J]. Journal of Jilin University Science Edition, 2018, 56(4): 925-932.

Three Control Schemes of Sliding Mode Synchronization of Financial Uncertain Fractional-Order Chaotic Systems

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0