An improvement to the homotopy perturbation method for solving the Hamilton-Jacobi-Bellman equation

DOI10.1093/imamci/dns038zbMath1280.49035OpenAlexW2040883614MaRDI QIDQ5396896

M. Shirazian, Sohrab Effati, Hassan Saberi Nik

Publication date: 4 February 2014

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/084ab9914fffcaf12519db7b726f47a4432092ef

zbMATH Keywords

Hamilton-Jacobi-Bellman equationoptimal control problemsHe's polynomialspiecewise homotopy perturbation method

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Perturbations in control/observation systems (93C73)

Related Items (7)

A numerical solution for fractional linear quadratic optimal control problems via shifted Legendre polynomials ⋮ Optimal control of partial differential equations based on the variational iteration method ⋮ On the Hamilton-Jacobi-Bellman equation by the homotopy perturbation method ⋮ A new piecewise-spectral homotopy analysis method for solving chaotic systems of initial value problems ⋮ Application of optimal HAM for finding feedback control of optimal control problems ⋮ On homotopy analysis method applied to linear optimal control problems ⋮ Modified homotopy perturbation method for optimal control problems using the Padé approximant

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