Controllability of second-order differential equations with state-dependent delay-Reference-Cited by-同舟云学术

Controllability of second-order differential equations with state-dependent delay

Published:2021-09-14 Issue:4 Volume:38 Page:1072-1083
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Karthikeyan K¹,Tamizharasan D²,Nieto J J³,Nisar Kottakkaran Sooppy⁴

Affiliation:

1. Department of Mathematics, Centre for Research and Development, KPR Institute of Engineering and Technology, Coimbatore, Tamilnadu 641048, India

2. Department of Mathematics, K.S.Rangasamy College of Technology, Tiruchengode, Namakkal 637215, Tamilnadu, India

3. Department of Statistics, Mathematical Analysis and Optimization, Institute of Mathematics, University of Santiago de Compostela, Santiago de Compostela 15782, Spain

4. Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia

Abstract

Abstract The intention of this article is to analyse the existence of controllability of differential equations of second order with state-dependent delay by using the cosine function theory. Also, well-posedness of the solution to the problem is examined. In the end, examples are provided to represent the theory.

Funder

Agencia Estatal de Investigacion

European Fund for Regional Development

Xunta de Galicia

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

https://academic.oup.com/imamci/article-pdf/38/4/1072/41112204/dnab027.pdf

Reference25 articles.

1. Analysis of a model representing stage-structured population growth with state-dependent time delay;Aiello;SIAM J. Appl. Math.,1992