Exact Controllability of the Distributed System Governed by the Wave Equation with Memory
Analysis of PDEs
2019-11-19 v5
Abstract
We will consider exact controllability of the distributed system governed by the wave equation with memory. It will be proved that this mechanical system can be driven to rest in finite time, the absolute value of the distributed control function being bounded. In this case the memory kernel is a linear combination of exponentials.
Cite
@article{arxiv.1503.04461,
title = {Exact Controllability of the Distributed System Governed by the Wave Equation with Memory},
author = {Igor Romanov and Alexey Shamaev},
journal= {arXiv preprint arXiv:1503.04461},
year = {2019}
}
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16 pages