CONTROLLABILITY AND STABILIZABILITY OF COUPLED STRINGS WITH CONTROL APPLIED AT THE COUPLED POINTS

Authors
HO LF
Citation
Lf. Ho, CONTROLLABILITY AND STABILIZABILITY OF COUPLED STRINGS WITH CONTROL APPLIED AT THE COUPLED POINTS, SIAM journal on control and optimization, 31(6), 1993, pp. 1416-1437
Citations number
15
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
31
Issue
6
Year of publication
1993
Pages
1416 - 1437
Database
ISI
SICI code
0363-0129(1993)31:6<1416:CASOCS>2.0.ZU;2-K
Abstract
Controllability and stabilizability of a system of coupled strings wit h control applied at the coupled points is studied. By investigating t he properties of certain exponential series, it is shown that the syst em is approximate controllable if and only if related systems of uncou pled strings do not share a common eigenvalue. A sufficient condition for exact controllability is also obtained in terms of the Riesz basis properties of those exponential series.