On a linear-quadratic problem with Caputo derivative

On a linear-quadratic problem with Caputo derivative

In this paper, we study a linear-quadratic optimal control problem with a fractional control system containing a Caputo derivative of unknown function. First, we derive the formulas for the differential and gradient of the cost functional under given constraints. Next, we prove an existence result a...

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Bibliographic Details
Main Authors:	Dariusz Idczak, Stanislaw Walczak
Format:	Article
Language:	English
Published:	AGH Univeristy of Science and Technology Press 2016-01-01
Series:	Opuscula Mathematica
Subjects:	fractional Caputo derivative linear-quadratic problem existence and uniqueness of a solution maximum principle gradient method projection of the gradient method
Online Access:	http://www.opuscula.agh.edu.pl/vol36/1/art/opuscula_math_3603.pdf

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