On the formulation and numerical simulation of distributed-order fractional optimal control problems

MA Zaky, JAT Machado - … in Nonlinear Science and Numerical Simulation, 2017 - Elsevier
In a fractional optimal control problem, the integer order derivative is replaced by a fractional
order derivative. The fractional derivative embeds implicitly the time delays in an optimal …

A Legendre collocation method for distributed-order fractional optimal control problems

MA Zaky - Nonlinear Dynamics, 2018 - Springer
In many dynamic processes, the fractional differential operators not only appear as discrete
fractional, but they also possess a continuous nature in a sense that their order is distributed …

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 …

Numerical solutions for distributed-order fractional optimal control problems by using generalized fractional-order Chebyshev wavelets

G Ghanbari, M Razzaghi - Nonlinear Dynamics, 2022 - Springer
This paper studies a numerical approach based on generalized fractional-order Chebyshev
wavelets for solving distributed-order fractional optimal control problems (DO-FOCPs). 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 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 …

Optimal control of nonlinear time-delay fractional differential equations with Dickson polynomials

SB Chen, S Soradi-Zeid, M Alipour, YM Chu… - Fractals, 2021 - World Scientific
In this paper, a novel direct scheme to solve a set of time-delay fractional optimal control
problems is introduced. The method firstly uses a set of Dickson polynomials as basis …

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 …

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 …

Solving distributed-order fractional optimal control problems via the Fibonacci wavelet method

S Sabermahani, Y Ordokhani - Journal of Vibration and …, 2024 - journals.sagepub.com
A new approach to finding the approximate solution of distributed-order fractional optimal
control problems (DO FOCPs) is proposed. This method is based on Fibonacci wavelets …