Open AccessChaotic motion of time-delay fractional order financial dynamic system of single sliding mode control
Author(s) -
Jun Dong,
Yanjun Xiao,
Meilong Hu,
Guangjun Zhang
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1634/1/012164
Subject(s) - control theory (sociology) , attractor , robustness (evolution) , chaotic , order (exchange) , state variable , computer science , mathematics , control (management) , finance , economics , physics , mathematical analysis , biochemistry , chemistry , artificial intelligence , gene , thermodynamics
In this paper, the equations of time-delay fractional order financial dynamic system are studied. Firstly, the dynamic characteristics of the time-delay fractional order financial system with are analyzed. Secondly, the attractor state change of the time-delay fractional order financial system induced by disturbance is studied. By adding specific uncertainties and disturbances to the specified state variables of the system, the attractor of the system is induced to change. Finally, the classical integral sliding mode control method is used to design a single controller to control the time-delay fractional order financial system from chaos to fixed point, and the feasibility and robustness of the control scheme have been proved theoretically and verified by the simulation.