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 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 2-dimensional distributed system using eigenfunctions

N Özdemir, OP Agrawal, BB Iskender, D Karadeniz - Nonlinear Dynamics, 2009 - Springer
This paper presents an eigenfunctions expansion based scheme for Fractional Optimal
Control (FOC) of a 2-dimensional distributed system. The fractional derivative is defined in …

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 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 problem of a distributed system in cylindrical coordinates

N Özdemir, D Karadeniz, BB İskender - Physics Letters A, 2009 - Elsevier
In this work, Fractional Optimal Control Problem (FOCP) of a Distributed system is
investigated in cylindrical coordinates. Axis-symmetry naturally arises in the problem …

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 …

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 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 …

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 …