Approximate controllability results for impulsive neutral differential inclusions of Sobolev-type with infinite delay

The paper is mainly concerned with the approximate controllability results for a class of impulsive neutral differential control systems. First, we establish a set of sufficient conditions for the approximate controllability for a class of impulsive differential inclusions of Sobolev-type with infin...

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Bibliographic Details
Published inInternational journal of control Vol. 91; no. 10; pp. 2366 - 2386
Main Author Vijayakumar, V.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.10.2018
Taylor & Francis Ltd
Subjects
Approximate controllability
Controllability
Delay
Fixed points (mathematics)
Inclusions
mild solution
neutral equations
nonlocal conditions
Sobolev-type impulsive differential inclusions
Stability
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Summary:The paper is mainly concerned with the approximate controllability results for a class of impulsive neutral differential control systems. First, we establish a set of sufficient conditions for the approximate controllability for a class of impulsive differential inclusions of Sobolev-type with infinite delay. With the help of semigroup theory and Bohnenblust-Karlin's fixed point theorem, we prove our main results. Then, we extend the result to study the approximate controllability for a class of impulsive neutral differential inclusions of Sobolev-type with infinite delay. Finally, an example is also presented to illustrate our theoretical results.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2017.1346300