Controllability of Semilinear Systems with Multiple Variable Delays in Control

In the paper semilinear, finite-dimensional, control systems with multiple time variable point delays in admissible controls are considered. Using Rothe’s fixed-point theorem, sufficient controllability conditions are formulated. The results of the paper are generalization to many time variable dela...

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Main Author: Jerzy Klamka
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/11/1955
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spelling doaj-1dba1ce7d8d645119c2bcd4dd2e537e02020-11-25T04:03:26ZengMDPI AGMathematics2227-73902020-11-0181955195510.3390/math8111955Controllability of Semilinear Systems with Multiple Variable Delays in ControlJerzy Klamka0Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, PolandIn the paper semilinear, finite-dimensional, control systems with multiple time variable point delays in admissible controls are considered. Using Rothe’s fixed-point theorem, sufficient controllability conditions are formulated. The results of the paper are generalization to many time variable delays in control, of the results published recently.https://www.mdpi.com/2227-7390/8/11/1955controllabilitysemilinear control systemsdelayed control systemsRothe’s fixed-point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Jerzy Klamka
spellingShingle Jerzy Klamka
Controllability of Semilinear Systems with Multiple Variable Delays in Control
Mathematics
controllability
semilinear control systems
delayed control systems
Rothe’s fixed-point theorem
author_facet Jerzy Klamka
author_sort Jerzy Klamka
title Controllability of Semilinear Systems with Multiple Variable Delays in Control
title_short Controllability of Semilinear Systems with Multiple Variable Delays in Control
title_full Controllability of Semilinear Systems with Multiple Variable Delays in Control
title_fullStr Controllability of Semilinear Systems with Multiple Variable Delays in Control
title_full_unstemmed Controllability of Semilinear Systems with Multiple Variable Delays in Control
title_sort controllability of semilinear systems with multiple variable delays in control
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-11-01
description In the paper semilinear, finite-dimensional, control systems with multiple time variable point delays in admissible controls are considered. Using Rothe’s fixed-point theorem, sufficient controllability conditions are formulated. The results of the paper are generalization to many time variable delays in control, of the results published recently.
topic controllability
semilinear control systems
delayed control systems
Rothe’s fixed-point theorem
url https://www.mdpi.com/2227-7390/8/11/1955
work_keys_str_mv AT jerzyklamka controllabilityofsemilinearsystemswithmultiplevariabledelaysincontrol
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