Abstract

AbstractThis 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.

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