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 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 …

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 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 …

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 discrete method to solve fractional optimal control problems

R Almeida, DFM Torres - Nonlinear Dynamics, 2015 - Springer
We present a method to solve fractional optimal control problems, where the dynamic control
system depends on integer order and Caputo fractional derivatives. Our approach consists …

A formulation and a numerical scheme for fractional optimal control problems

OP Agrawal - IFAC proceedings volumes, 2006 - Elsevier
This paper presents a general formulation and a general numerical scheme for a class of
Fractional Optimal Control Problems (FOCPs). The fractional derivative is described in the …

Time‐optimal control of systems with fractional dynamics

C Tricaud, YQ Chen - International Journal of Differential …, 2010 - Wiley Online Library
We introduce a formulation for the time‐optimal control problems of systems displaying
fractional dynamics in the sense of the Riemann‐Liouville fractional derivatives operator. To …

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 …