Approximate controllability results for analytic resolvent integro-differential inclusions in Hilbert spaces

In this work, we consider a nonlinear resolvent integro-differential evolution inclusions in Hilbert spaces. This paper deals with the approximate controllability for nonlinear resolvent integro-differential inclusions in Hilbert spaces. We use Bohnenblust-Karlin's fixed-point theorem to establ...

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Bibliographic Details
Published inInternational journal of control Vol. 91; no. 1; pp. 204 - 214
Main Author Vijayakumar, V.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.01.2018
Taylor & Francis Ltd
Subjects
Approximate controllability
Bohnenblust-Karlin's fixed-point theorem
Controllability
Cybernetics
Estimates
Fixed points (mathematics)
Hilbert space
Inclusions
integro-differential evolution inclusions
multi-valued map
non-local conditions
Nonlinear control
resolvent operators
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Summary:In this work, we consider a nonlinear resolvent integro-differential evolution inclusions in Hilbert spaces. This paper deals with the approximate controllability for nonlinear resolvent integro-differential inclusions in Hilbert spaces. We use Bohnenblust-Karlin's fixed-point theorem to establish a set of sufficient conditions for the approximate controllability for nonlinear resolvent integro-differential inclusions in Hilbert spaces. Further, we extend the result to study the approximate controllability concept with non-local conditions. An example is presented to demonstrate the obtained theory.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2016.1276633