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NULL-CONTROLLABILITY OF THE LINEAR KURAMOTO-SIVASHINSKY EQUATION ON STAR-SHAPED TREES.
- Source :
-
SIAM Journal on Control & Optimization . 2018, Vol. 56 Issue 4, p2921-2958. 38p. - Publication Year :
- 2018
-
Abstract
- In this paper we treat null-controllability properties for the linear Kuramoto- Sivashinsky equation on a network with two types of boundary conditions. More precisely, the equation is considered on a star-shaped tree with Dirichlet and Neumann boundary conditions. By using the moment theory we can derive null-controllability properties with boundary controls acting on the external vertices of the tree. In particular, the controllability holds if the anti-diffusion parameter of the equation does not belong to a critical countable set of real numbers. We point out that the critical set for which the null-controllability fails differs from the first model to the second one. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 56
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 131799942
- Full Text :
- https://doi.org/10.1137/16M1103348