Optimal control based on the variational iteration method

DOI10.1016/j.camwa.2011.12.066zbMath1252.49051OpenAlexW2034438020MaRDI QIDQ692298

Farida Manseur, Ahmed Maidi, Samira Berkani

Publication date: 4 December 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.066

zbMATH Keywords

optimal controlvariational calculusvariational iteration methodEulerLagrange equation

Mathematics Subject Classification ID

Related Items (12)

The solution of fuzzy variational problem and fuzzy optimal control problem under granular differentiability concept ⋮ Optimal control of partial differential equations based on the variational iteration method ⋮ A new direct method for solving optimal control problem of nonlinear Volterra-Fredholm integral equation via the Müntz-Legendre polynomials ⋮ An iterative method for suboptimal control of linear time-delayed systems ⋮ Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique ⋮ Optimal control based on the polynomial least squares method ⋮ Numerical solution of coupled Schrödinger-KdV equation via modified variational iteration algorithm-II ⋮ Uncertain Method for Optimal Control Problems With Uncertainties Using Chebyshev Inclusion Functions ⋮ A Computational Method for Stochastic Optimal Control Problems in Financial Mathematics ⋮ An iterative method for suboptimal control of a class of nonlinear time-delayed systems ⋮ Approximate solutions of fuzzy optimal control problems using sigmoid-weighted neural networks ⋮ Solution of initial and boundary value problems by the variational iteration method

Uses Software

• SOCS

Cites Work

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• Solution of problems in calculus of variations via He's variational iteration method
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• The calculus of variations
• Active optimal control of the KdV equation using the variational iteration method
• On the application of iterative dynamic programming to singular optimal control problems
• Applied Numerical Methods Using MATLAB®
• Variational iteration method for autonomous ordinary differential systems
• Optimal control

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