Email this article Some Problems of Distributed and Boundary Control for Systems with Integral Aftereffect
- Authors: Romanov I.V.1, Shamaev A.S.2,3
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Affiliations:
- National Research University Higher School of Economics
- Institute for Problems in Mechanics, RAS
- Moscow State University
- Issue: Vol 234, No 4 (2018)
- Pages: 470-484
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241927
- DOI: https://doi.org/10.1007/s10958-018-4023-6
- ID: 241927
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Abstract
We consider the problem of exact control for a system described by an equation with integral “memory.” It is shown that, under certain conditions, this system can be brought to rest in finite time by distributed control bounded in absolute value, and, in a special one-dimensional case, by control applied to an end-point of the interval. We consider different types of kernels in the integral term of the equation and describe some relationships between problems of controllability of some hyperbolic and parabolic systems.
About the authors
I. V. Romanov
National Research University Higher School of Economics
Author for correspondence.
Email: romm1@list.ru
Russian Federation, Moscow
A. S. Shamaev
Institute for Problems in Mechanics, RAS; Moscow State University
Email: romm1@list.ru
Russian Federation, Moscow; Moscow
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