Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays

Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays

Two types of singularly-perturbed nonlinear time delay controlled systems are considered. For these systems, sufficient conditions of the functional null controllability are derived. These conditions, being independent of the parameter of singular perturbation, provide the controllability of the sys...

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Bibliographic Details
Main Author: Valery Y. Glizer
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Axioms
Subjects:
singularly-perturbed nonlinear system
time delay system
functional controllability
Online Access:https://www.mdpi.com/2075-1680/8/3/80
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spelling doaj-97de65d33e464db78a5cfff5d89f4bcf2020-11-25T01:50:28ZengMDPI AGAxioms2075-16802019-07-01838010.3390/axioms8030080axioms8030080Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with DelaysValery Y. Glizer0Department of Mathematics, ORT Braude College of Engineering, Karmiel 2161002, IsraelTwo types of singularly-perturbed nonlinear time delay controlled systems are considered. For these systems, sufficient conditions of the functional null controllability are derived. These conditions, being independent of the parameter of singular perturbation, provide the controllability of the systems for all sufficiently small values of the parameter. Illustrative examples are presented.https://www.mdpi.com/2075-1680/8/3/80singularly-perturbed nonlinear systemtime delay systemfunctional controllability
collection DOAJ
language English
format Article
sources DOAJ
author Valery Y. Glizer
spellingShingle Valery Y. Glizer
Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays
Axioms
singularly-perturbed nonlinear system
time delay system
functional controllability
author_facet Valery Y. Glizer
author_sort Valery Y. Glizer
title Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays
title_short Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays
title_full Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays
title_fullStr Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays
title_full_unstemmed Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays
title_sort conditions of functional null controllability for some types of singularly perturbed nonlinear systems with delays
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2019-07-01
description Two types of singularly-perturbed nonlinear time delay controlled systems are considered. For these systems, sufficient conditions of the functional null controllability are derived. These conditions, being independent of the parameter of singular perturbation, provide the controllability of the systems for all sufficiently small values of the parameter. Illustrative examples are presented.
topic singularly-perturbed nonlinear system
time delay system
functional controllability
url https://www.mdpi.com/2075-1680/8/3/80
work_keys_str_mv AT valeryyglizer conditionsoffunctionalnullcontrollabilityforsometypesofsingularlyperturbednonlinearsystemswithdelays
_version_ 1725001745744003072

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