On the controllability of the linearized Benjamin-Bona-Mahony equation

Authors
Micu, S
Citation
S. Micu, On the controllability of the linearized Benjamin-Bona-Mahony equation, SIAM J CON, 39(6), 2001, pp. 1677-1696
Citations number
25
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
39
Issue
6
Year of publication
2001
Pages
1677 - 1696
Database
ISI
SICI code
0363-0129(20010412)39:6<1677:OTCOTL>2.0.ZU;2-Q
Abstract
We study the boundary controllability properties of the linearized Benjamin Bona Mahony equation [GRAPHICS] We show that the equation is approximately controllable but not spectrally controllable (no finite linear combination of eigenfunctions, other than ze ro, is controllable). Next, we prove a finite controllability result and we estimate the norms of the controls needed in this case.