Roughness of the Controllability for Time Varying Systems Under the Influence of Impulses, Delay, and Nonlocal Conditions-Reference-Cited by-同舟云学术

Roughness of the Controllability for Time Varying Systems Under the Influence of Impulses, Delay, and Nonlocal Conditions

Published:2020-01-01 Issue:1 Volume:7 Page:126-139
ISSN:2353-0626
Container-title:Nonautonomous Dynamical Systems
language:en
Short-container-title:

Author:

Leiva Hugo¹,Cabada Dalia¹,Gallo Rodolfo¹

Affiliation:

1. Yachay Tech School of Mathematical and Computational Sciences, Department of Mathematics , San Miguel de Urcuqui-100119 , Imbabura - Ecuador

Abstract

Abstract In this paper, we prove that the controllability of time varying linear system is preserved if we add impulses, delay and nonlocal conditions on it. In order to do that, we assume some conditions on the non-linear terms and apply the Rothe’s fixed point theorem to obtain the main result. In other words, we find sufficient controllability conditions for the semilinear system under the influence of impulses, delay, and nonlocal conditions.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Numerical Analysis,Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/msds-2020-0106/pdf

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