Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/35547
Title: | Regional controllability and minimum energy control of delayed caputo fractional-order linear systems |
Author: | Karite, Touria Khazari, Adil Torres, Delfim F. M. |
Keywords: | Regional controllability Fractional-order systems Caputo derivatives Control delays Optimal control Minimum energy |
Issue Date: | 18-Dec-2022 |
Publisher: | MDPI |
Abstract: | We study the regional controllability problem for delayed fractional control systems through the use of the standard Caputo derivative. First, we recall several fundamental results and introduce the family of fractional-order systems under consideration. Afterward, we formulate the notion of regional controllability for fractional systems with control delays and give some of their important properties. Our main method consists of defining an attainable set, which allows us to prove exact and weak controllability. Moreover, the main results include not only those of controllability but also a powerful Hilbert uniqueness method, which allows us to solve the minimum energy optimal control problem. More precisely, an explicit control is obtained that drives the system from an initial given state to a desired regional state with minimum energy. Two examples are given to illustrate the obtained theoretical results. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/35547 |
DOI: | 10.3390/math10244813 |
ISSN: | 2227-7390 |
Publisher Version: | https://doi.org/10.3390/math10244813 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[523]Karite-Khazari-Torres.pdf | 332.96 kB | Adobe PDF | View/Open |
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