A piecewise spectral method for solving the chaotic control problems of hyperchaotic finance system

Abstract

This work presents an accurate algorithm for solving the chaotic control (optimal and adaptive control) problems of hyperchaotic finance system. A modification of the spectral homotopy analysis method technique is proposed for solving the hyperchaotic finance system and the extreme conditions obtained from the Pontryagin minimum principle. The proposed method is based on implementing the spectral homotopy analysis method on a sequence of multiple intervals thereby increasing its radius of convergence to yield highly accurate method that is referred to as the piecewise spectral homotopy analysis method. Finally, piecewise spectral homotopy analysis method is used to solve the problem of Lyapunov stabilization of the hyperchaotic finance system. Numerical simulations are given to illustrate and verify effectiveness of the proposed strategy.

Construction and Application of the Online Finance Credit Risk Rating Model Based on the Artificial Neural Network

“…Among them, online finance credit provides underfunded individuals and small and medium enterprises (SMEs) with an indispensable credit channel [6][7][8][9]. To keep the risk within control, risk rating and control are necessary in the early and late phases after the launch of online finance credit products [10][11][12][13][14].…”

Using B‐spline functions (BSFs) of various degrees to obtain a powerful method for numerical solution for a special class of optimal control problems (OCPs)

“…Neuman and Sen have used state‐control parameterization via cubic spline on a uniform mesh . Karimi and Saberi Nik has been presented an accurate algorithm for solving the chaotic optimal control and adaptive control problems. In this paper, the OCPs are change into optimization problems based on state parameterization via the BSFs.…”