Solving the Hamilton–Jacobi–Bellman equation using Adomian decomposition method

DOI10.1080/00207160902785610zbMath1202.65082OpenAlexW1966930564MaRDI QIDQ3056413

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Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160902785610

zbMATH Keywords

optimal controlHamilton-Jacobi-Bellman equationnumerical examplesAdomian decomposition methodRiccati differential equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Decomposition methods (49M27) Hamilton-Jacobi equations (35F21)

Related Items (11)

Application of variational iteration method for Hamilton-Jacobi-Bellman equations ⋮ An approximate-analytical solution for the Hamilton-Jacobi-Bellman equation via 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 ⋮ Series solution of nonlinear differential equations by a novel extension of the Laplace transform method ⋮ The optimal homotopy analysis method for solving linear optimal control problems ⋮ A novel controller for nonlinear uncertain systems using a combination of SDRE and function approximation technique: regulation and tracking of flexible-joint manipulators ⋮ Feedback controller design for linear and a class of nonlinear optimal control problems ⋮ A new approach based on using Chebyshev wavelets for solving various optimal control problems ⋮ Unnamed Item ⋮ On comparison between iterative methods for solving nonlinear optimal control problems

Cites Work

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• New method for calculating Adomian polynomials
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• Modelling of the thermic exchanges during a drilling. Resolution with Adomian's decomposition method
• Convergence of Adomian's Method
• Bilinear quadratic optimal control: a recursive approach
• A new approach to nonlinear partial differential equations
• An algorithm for solving a nonlinear integro-differential equation

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