EXACT CONTROLLABILITY AND COMPLETE STABILIZABILITY FOR LINEAR-SYSTEMSIN HILBERT-SPACES

Authors
RABAH R KARRAKCHOU J
Citation
R. Rabah et J. Karrakchou, EXACT CONTROLLABILITY AND COMPLETE STABILIZABILITY FOR LINEAR-SYSTEMSIN HILBERT-SPACES, Applied mathematics letters, 10(1), 1997, pp. 35-40
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
10
Issue
1
Year of publication
1997
Pages
35 - 40
Database
ISI
SICI code
0893-9659(1997)10:1<35:ECACSF>2.0.ZU;2-T
Abstract
A criterion of exact controllability using the resolvent of the state space operator is given for linear control system in Hilbert space. On ly surjectivity of the semigroup operators is assumed. This condition is necessary for exact controllability, so the criterion is quite gene ral. Relations between exact controllability and complete stabilizabil ity are specified.