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 …

A quadratic numerical scheme for fractional optimal control problems

OP Agrawal - 2008 - asmedigitalcollection.asme.org
This paper presents a quadratic numerical scheme for a class of fractional optimal control
problems (FOCPs). The fractional derivative is described in the Caputo sense. The …

A general formulation and solution scheme for fractional optimal control problems

OP Agrawal - Nonlinear Dynamics, 2004 - Springer
Accurate modeling of many dynamic systems leads to a set of Fractional Differential
Equations (FDEs). This paper presents a general formulation and a solution scheme for a …

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 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 …

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 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 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 …

Fractional optimal control problems: a pseudo-state-space approach

RK Biswas, S Sen - Journal of Vibration and Control, 2011 - journals.sagepub.com
A scheme for optimal control problem formulation and solution of a fractional order system
using pseudo-state-space formulation is presented in this paper. A pseudo-state-space …

Comparison on wavelets techniques for solving fractional optimal control problems

PK Sahu, S Saha Ray - Journal of Vibration and Control, 2018 - journals.sagepub.com
This paper presents efficient numerical techniques for solving fractional optimal control
problems (FOCP) based on orthonormal wavelets. These wavelets are like Legendre …