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- Title
Robust Control of the Caputo-Fabrizio Fractional-order Finance System with Double Constraints in Input.
- Authors
Xiaomin Tian; Xingliu Hu; Juan Gu; Jiaqi Ge; Juan Yin
- Abstract
A new definition of fractional derivatives called Caputo-Fabrizio definition is proposed in this paper, and used to develop mathematical models for the finance system. For the purpose of realizing the robust stabilization of fractional-order finance system, the influence of double constraints in input is taken into account. Meanwhile, the details about numerical computation method of Caputo-Fabrizio fractional differential equation are shown. Furthermore, in order to improve the feasibility of fractional-order financial system based on new definition, we also consider the effects of unknown parameters and external perturbations, and their upper bounds are previously unknown. In the final step, simulation results are given to verify that the proposed control strategy is effectively in overcome constraints of inputs, and the controlled system has a good robustness against the external disturbances and system uncertainties.
- Subjects
ROBUST control; FRACTIONAL differential equations
- Publication
IAENG International Journal of Applied Mathematics, 2023, Vol 53, Issue 3, p1100
- ISSN
1992-9978
- Publication type
Article