On time-optimal control of fractional-order systems
type: Item
instance of: scholarly article
title: On time-optimal control of fractional-order systems
zbMATH Open document ID: 1392.49031
author: I. I. Matychyn
author: Viktoriia Onyshchenko
published in: Journal of Computational and Applied Mathematics
publication date: 2018-05-09T00:00:00Z
review text: In this paper, by using convex-analytical techniques, a fractional optimal control problem is formulated and investigated. More precisely, using Riemann-Liouville and Caputo fractional derivatives, sufficient optimality conditions of Pontryagin's maximum principle type are established and proved for fractional-order systems. As well, in order to illustrate the theoretical results and their effectiveness, some examples are proposed.
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 49N05
Mathematics Subject Classification ID: 33E12
zbMATH DE Number: 6867156
zbMATH Keywords: fractional differential equation
zbMATH Keywords: Riemann-Liouville fractional derivative
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: fractional optimal control problem
reviewed by: Savin Treanţă
MaRDI profile type: Publication
full work available at URL: j.cam.2017.10.016
OpenAlex ID: W2766199206
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DOI: 10.1016/J.CAM.2017.10.016
description: scientific article; zbMATH DE number 6867156