The optimal homotopy analysis method for solving linear optimal control problems

DOI10.1016/J.APM.2017.01.024zbMath1446.49026OpenAlexW2578565389MaRDI QIDQ2290181

Wenjuan Jia, Liang-Dong Guo, Xiqin He

Publication date: 27 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.01.024

zbMATH Keywords

optimal control problemoptimal homotopy analysis methodconvergence-control parameterpontryagins maximum principle

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Numerical methods of relaxation type (49M20) Numerical methods in optimal control (49M99)

Related Items (9)

Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control ⋮ Fractional-order Legendre functions and their application to solve fractional optimal control of systems described by integro-differential equations ⋮ An improved optimal homotopy analysis algorithm for nonlinear differential equations ⋮ A hybrid parametrization approach for a class of nonlinear optimal control problems ⋮ Optimal control based on the polynomial least squares method ⋮ On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations ⋮ Static analysis of composite beams on variable stiffness elastic foundations by the homotopy analysis method ⋮ A Novel Successive Approximation Method for Solving a Class of Optimal Control Problems ⋮ Nonlinear vibration analysis of FG nano-beams resting on elastic foundation in thermal environment using stress-driven nonlocal integral model

Uses Software

• Mathematica
• BVPh

Cites Work

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