Non Controllability to Rest of the Two-Dimensional Distributed System Governed by the Integrodifferential Equation
Analysis of PDEs
2016-03-09 v5
Abstract
The paper deals with controllability problem for a distributed system governed by the two-dimensional Gurtin-Pipkin equation. We consider a system with compactly supported distributed control and show that if the memory kernel is a twice continuously differentiable function, such that its Laplace transformation has at least one non-zero root, then the system cannot be driven to the equilibrium in a finite time.
Keywords
Cite
@article{arxiv.1408.0382,
title = {Non Controllability to Rest of the Two-Dimensional Distributed System Governed by the Integrodifferential Equation},
author = {Igor Romanov and Alexey Shamaev},
journal= {arXiv preprint arXiv:1408.0382},
year = {2016}
}
Comments
9 pages, 1 figure