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Journal of Dynamical and Control Systems

Erschienen in:

26.12.2016

Controllability of the Impulsive Semilinear Heat Equation with Memory and Delay

verfasst von: Cristi Guevara, Hugo Leiva

Erschienen in: Journal of Dynamical and Control Systems | Ausgabe 1/2018

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Abstract

For many control systems in real life, impulses and delays are intrinsic properties that do not modify their controllability. So we conjecture that under certain conditions the abrupt changes and delays as perturbations of a system do not modify certain properties such as controllability. In other words, the controllability is robust by looking the impulses and delays as perturbations. In this regard, in this paper, we prove the interior approximate controllability of the Impulsive Semilinear Heat Equation with Memory and Delay. This is done by employing A.E. Bashirov and at. technique which avoids fixed point theorems. In this case, the delay helps us to prove the approximate controllability by pulling back the control solution to a fixed curve in a short time interval.

Nächster Artikel On Symmetries in Time Optimal Control, Sub-Riemannian Geometries, and the K−P Problem

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Titel: Controllability of the Impulsive Semilinear Heat Equation with Memory and Delay
verfasst von: Cristi Guevara
Hugo Leiva
Publikationsdatum: 26.12.2016
Verlag: Springer US
Erschienen in: Journal of Dynamical and Control Systems / Ausgabe 1/2018
Print ISSN: 1079-2724
Elektronische ISSN: 1573-8698
DOI: https://doi.org/10.1007/s10883-016-9352-5

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