Controllability of semilinear systems with fixed delay in control

Controllability of semilinear systems with fixed delay in control

In this paper, different sufficient conditions for exact controllability of semilinear systems with a single constant point delay in control are established in infinite dimensional space. The existence and uniqueness of mild solution is also proved under suitable assumptions. In particular, local Li...

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Main Authors: Surendra Kumar, N. Sukavanam
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2015-01-01
Series:Opuscula Mathematica
Subjects:
first order delay system
mild solution
fixed point
exact controllability
Online Access:http://www.opuscula.agh.edu.pl/vol35/1/art/opuscula_math_3505.pdf
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spelling doaj-8b13014a649f4f20a54dbe989b5321652020-11-24T22:51:22ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742015-01-013517183http://dx.doi.org/10.7494/OpMath.2015.35.1.713505Controllability of semilinear systems with fixed delay in controlSurendra Kumar0N. Sukavanam1University of Delhi, Department of Mathematics, Delhi - 110007, IndiaIndian Institute of Technology, Roorkee, Department of Mathematics, Roorkee (Uttarakhand) - 247667, IndiaIn this paper, different sufficient conditions for exact controllability of semilinear systems with a single constant point delay in control are established in infinite dimensional space. The existence and uniqueness of mild solution is also proved under suitable assumptions. In particular, local Lipschitz continuity of a nonlinear function is used. To illustrate the developed theory some examples are given.http://www.opuscula.agh.edu.pl/vol35/1/art/opuscula_math_3505.pdffirst order delay systemmild solutionfixed pointexact controllability
collection DOAJ
language English
format Article
sources DOAJ
author Surendra Kumar
N. Sukavanam
spellingShingle Surendra Kumar
N. Sukavanam
Controllability of semilinear systems with fixed delay in control
Opuscula Mathematica
first order delay system
mild solution
fixed point
exact controllability
author_facet Surendra Kumar
N. Sukavanam
author_sort Surendra Kumar
title Controllability of semilinear systems with fixed delay in control
title_short Controllability of semilinear systems with fixed delay in control
title_full Controllability of semilinear systems with fixed delay in control
title_fullStr Controllability of semilinear systems with fixed delay in control
title_full_unstemmed Controllability of semilinear systems with fixed delay in control
title_sort controllability of semilinear systems with fixed delay in control
publisher AGH Univeristy of Science and Technology Press
series Opuscula Mathematica
issn 1232-9274
publishDate 2015-01-01
description In this paper, different sufficient conditions for exact controllability of semilinear systems with a single constant point delay in control are established in infinite dimensional space. The existence and uniqueness of mild solution is also proved under suitable assumptions. In particular, local Lipschitz continuity of a nonlinear function is used. To illustrate the developed theory some examples are given.
topic first order delay system
mild solution
fixed point
exact controllability
url http://www.opuscula.agh.edu.pl/vol35/1/art/opuscula_math_3505.pdf
work_keys_str_mv AT surendrakumar controllabilityofsemilinearsystemswithfixeddelayincontrol
AT nsukavanam controllabilityofsemilinearsystemswithfixeddelayincontrol
_version_ 1725669968873259008

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