Fractional optimal control of continuum systems

XW Tangpong, OP Agrawal - 2009 - asmedigitalcollection.asme.org
This paper presents a formulation and a numerical scheme for fractional optimal control
(FOC) of a class of continuum systems. The fractional derivative is defined in the Caputo …

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 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 …

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 of a distributed system using eigenfunctions

OP Agrawal - 2008 - asmedigitalcollection.asme.org
This paper presents a formulation and a numerical scheme for fractional optimal control
(FOC) for a class of distributed systems. The fractional derivative is defined in the Caputo …

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 …

Fractional optimal control of distributed systems in spherical and cylindrical coordinates

MM Hasan, XW Tangpong… - Journal of Vibration and …, 2012 - journals.sagepub.com
This paper presents a general formulation and numerical scheme for the fractional optimal
control problem (FOCP) of distributed systems in spherical and cylindrical coordinates. 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 …

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 …

New aspects of time fractional optimal control problems within operators with nonsingular kernel

TA Yildiz, A Jajarmi, B Yildiz, D Baleanu - 2020 - earsiv.cankaya.edu.tr
This paper deals with a new formulation of time fractional optimal control problems governed
by Caputo-Fabrizio (CF) fractional derivative. The optimality system for this problem is …