On The Dense Controllability for The Parabolic Problem with Time-Distributed Functional

Irina V. Astashova; Alexey V. Filinovskiy

doi:10.2478/tmmp-2018-0002

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On The Dense Controllability for The Parabolic Problem with Time-Distributed Functional

Tatra Mountains Mathematical Publications

Volume 71 (2018): Issue 1 (December 2018)

By: Irina V. Astashova and Alexey V. Filinovskiy

Open Access

|Jan 2019

Abstract

We consider a control problem for one-dimensional heat equation with quadratic cost functional. We prove the existence and uniqueness of a control function from a prescribed set, and study the structure of the set of accessible temperature functions. We also prove the dense controllability of the problem for some set of control functions.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2018-0002 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 9 - 25

Submitted on: Dec 11, 2017

Published on: Jan 25, 2019

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

heat equation,

quadratic cost functional,

extremal problem,

exact controllability,

dense controllability

Related subjects:

Mathematics,

General mathematics

© 2019 Irina V. Astashova, Alexey V. Filinovskiy, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 71 (2018): Issue 1 (December 2018)