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 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 …

A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems

OP Agrawal, D Baleanu - Journal of Vibration and Control, 2007 - journals.sagepub.com
This paper deals with a direct numerical technique for Fractional Optimal Control Problems
(FOCPs). In this paper, we formulate the FOCPs in terms of Riemann—Liouville Fractional …

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 …

Fractional optimal control problems with specified final time

RK Biswas, S Sen - 2011 - asmedigitalcollection.asme.org
A constrained dynamic optimization problem of a fractional order system with fixed final time
has been considered here. This paper presents a general formulation and solution scheme …

Fractional optimal control problems with several state and control variables

OP Agrawal, O Defterli… - Journal of Vibration and …, 2010 - journals.sagepub.com
In many applications, fractional derivatives provide better descriptions of the behavior of
dynamic systems than other techniques. For this reason, fractional calculus has been used …

A central difference numerical scheme for fractional optimal control problems

D Baleanu, O Defterli… - Journal of Vibration and …, 2009 - journals.sagepub.com
This paper presents a modified numerical scheme for a class of fractional optimal control
problems where a fractional derivative (FD) is defined in the Riemann—Liouville sense. In …

An efficient numerical method for the optimal control of fractional-order dynamic systems

E Mohammadzadeh, N Pariz… - Journal of Vibration …, 2018 - journals.sagepub.com
This paper aims to investigate an efficient numerical scheme for the optimal control of
fractional-order dynamic systems. By using the Grünwald–Letnikov approximation for the …

An efficient method to solve a fractional differential equation by using linear programming and its application to an optimal control problem

SA Rakhshan, AV Kamyad… - Journal of Vibration and …, 2016 - journals.sagepub.com
This paper presents a new idea to solve fractional differential equations and fractional
optimal control problems. The fractional derivative is defined in the Grunwald–Letnikov …

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 …