A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems

SS Ezz-Eldien, EH Doha, D Baleanu… - Journal of Vibration …, 2017 - journals.sagepub.com
The numerical solution of a fractional optimal control problem having a quadratic
performance index is proposed and analyzed. The performance index of the fractional …

Numerical solution for fractional optimal control problems by Hermite polynomials

A Yari - Journal of Vibration and Control, 2021 - journals.sagepub.com
In this study, a numerical method based on Hermite polynomial approximation for solving a
class of fractional optimal control problems is presented. The order of the fractional …

A numerical approach for solving fractional optimal control problems with mittag-leffler kernel

H Jafari, RM Ganji, K Sayevand… - Journal of Vibration …, 2022 - journals.sagepub.com
In this work, we present a numerical approach based on the shifted Legendre polynomials
for solving a class of fractional optimal control problems. The derivative is described in the …

Solving a class of fractional optimal control problems by the Hamilton–Jacobi–Bellman equation

SA Rakhshan, S Effati… - Journal of Vibration …, 2018 - journals.sagepub.com
The performance index of both the state and control variables with a constrained dynamic
optimization problem of a fractional order system with fixed final Time have been considered …

A numerical solution for fractional optimal control problems via Bernoulli polynomials

E Keshavarz, Y Ordokhani… - Journal of Vibration and …, 2016 - journals.sagepub.com
This paper presents a new numerical method for solving fractional optimal control problems
(FOCPs). The fractional derivative in the dynamic system is described in the Caputo sense …

A new efficient numerical scheme for solving fractional optimal control problems via a Genocchi operational matrix of integration

C Phang, NF Ismail, A Isah… - Journal of Vibration and …, 2018 - journals.sagepub.com
In this paper, a new operational matrix of integration is derived using Genocchi polynomials,
which is one of the Appell polynomials. By using the matrix, we develop an efficient, direct …

A formulation and numerical scheme for fractional optimal control problems

OP Agrawal - Journal of Vibration and Control, 2008 - journals.sagepub.com
This article presents a general formulation and general numerical scheme for a class of
fractional optimal control problems (FOCPs). The fractional derivative is described in the …

[PDF][PDF] An accurate numerical technique for solving fractional optimal control problems

AH Bhrawy, EH Doha, D Baleanu, SS Ezz-Eldien… - Differ …, 2015 - academiaromana.ro
In this article, we propose the shifted Legendre orthonormal polynomials for the numerical
solution of the fractional optimal control problems that appear in several branches of physics …

Numerical simulation and convergence analysis of fractional optimization problems with right-sided Caputo fractional derivative

SS Ezz-Eldien, AA El-Kalaawy - Journal of …, 2018 - asmedigitalcollection.asme.org
This paper presents an efficient approximation schemes for the numerical solution of a
fractional variational problem (FVP) and fractional optimal control problem (FOCP). As basis …

[HTML][HTML] Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss …

A Lotfi, SA Yousefi, M Dehghan - Journal of Computational and Applied …, 2013 - Elsevier
A numerical direct method for solving a general class of fractional optimal control problems
(FOCPs) is presented. In the discussed FOCP, the fractional derivative in the dynamical …