[HTML][HTML] The optimal homotopy analysis method for solving linear optimal control problems
W Jia, X He, L Guo - Applied Mathematical Modelling, 2017 - Elsevier
In this paper, an Optimal Homotopy Analysis Method (Optimal HAM) is applied to solve the
linear optimal control problems (OCPs), which have a quadratic performance index. This …
linear optimal control problems (OCPs), which have a quadratic performance index. This …
[HTML][HTML] An approximate-analytical solution for the Hamilton–Jacobi–Bellman equation via homotopy perturbation method
HS Nik, S Effati, M Shirazian - Applied Mathematical Modelling, 2012 - Elsevier
In this paper, we give an analytical-approximate solution for the Hamilton–Jacobi–Bellman
(HJB) equation arising in optimal control problems using He's polynomials based on …
(HJB) equation arising in optimal control problems using He's polynomials based on …
[HTML][HTML] Application of variational iteration method for Hamilton–Jacobi–Bellman equations
In this paper, we use the variational iteration method (VIM) for optimal control problems.
First, optimal control problems are transferred to Hamilton–Jacobi–Bellman (HJB) equation …
First, optimal control problems are transferred to Hamilton–Jacobi–Bellman (HJB) equation …
[PDF][PDF] A numerical approach for solving optimal control problems using the Boubaker polynomials expansion scheme
B Kafash, A Delavarkhalafi… - J. Interpolat. Approx. Sci …, 2014 - academia.edu
In this paper, we present a computational method for solving optimal control problems and
the controlled Duffing oscillator. This method is based on state parametrization. In fact, the …
the controlled Duffing oscillator. This method is based on state parametrization. In fact, the …
Solution of linear optimal control systems by differential transform method
H Saberi Nik, S Effati, A Yildirim - Neural Computing and Applications, 2013 - Springer
In this paper, we obtain the approximate solutions for optimal control of linear systems,
which have a quadratic performance index. The differential transform method (DTM) is …
which have a quadratic performance index. The differential transform method (DTM) is …
Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems
A combination of the hybrid spectral collocation technique and the homotopy analysis
method is used to construct an iteration algorithm for solving a class of nonlinear optimal …
method is used to construct an iteration algorithm for solving a class of nonlinear optimal …
[HTML][HTML] Modified homotopy perturbation method for optimal control problems using the Padé approximant
S Ganjefar, S Rezaei - Applied Mathematical Modelling, 2016 - Elsevier
In this study, we propose a hybrid method that combines the homotopy perturbation method
(HPM) and Padé technique to obtain the approximate analytic solution of the Hamilton …
(HPM) and Padé technique to obtain the approximate analytic solution of the Hamilton …
A numerical solution for fractional linear quadratic optimal control problems via shifted Legendre polynomials
S Nezhadhosein, R Ghanbari… - International Journal of …, 2022 - Springer
This paper presents a numerical indirect method based on shifted Legendre polynomials for
solving fractional linear quadratic time-variant optimal control problems (FLQTVOCPs) in the …
solving fractional linear quadratic time-variant optimal control problems (FLQTVOCPs) in the …
A modified hybrid genetic algorithm for solving nonlinear optimal control problems
S Nezhadhosein, A Heydari… - … Problems in Engineering, 2015 - Wiley Online Library
Here, a two‐phase algorithm is proposed for solving bounded continuous‐time nonlinear
optimal control problems (NOCP). In each phase of the algorithm, a modified hybrid genetic …
optimal control problems (NOCP). In each phase of the algorithm, a modified hybrid genetic …
A computational method for stochastic optimal control problems in financial mathematics
B Kafash, A Delavarkhalafi… - Asian Journal of …, 2016 - Wiley Online Library
Principle of optimality or dynamic programming leads to derivation of a partial differential
equation (PDE) for solving optimal control problems, namely the Hamilton‐Jacobi‐Bellman …
equation (PDE) for solving optimal control problems, namely the Hamilton‐Jacobi‐Bellman …