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Noncontrollability to Rest of the Two-Dimensional Distributed System Governed by the Integrodifferential Equation.
- Source :
- Journal of Optimization Theory & Applications; Sep2016, Vol. 170 Issue 3, p772-782, 11p
- Publication Year :
- 2016
-
Abstract
- In this paper, we examine the controllability problem of 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 root, then the system cannot be driven to equilibrium in finite time. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 170
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 117124412
- Full Text :
- https://doi.org/10.1007/s10957-016-0945-7