A criterion of exact controllabilty using the resolvent of the state space operator is given for linear control system in Hilbert space . Only surjectivity of the semi-group operators is assumed. This condition is necessary for exact controllability, so the criterion is quite general. Relations between exact controllability and complete stabilizability are specified.
Publié le : 1997-07-05
Classification:
Infinite dimensional systems,
linear systems,
exact controllability,
stabilizability,
93B05, 93C25,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC],
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-00819342,
author = {Rabah, Rabah and Karrakchou, Jamila},
title = {On Exact Controllability and Complete Stabilizability for Linear Systems in Hilbert Spaces},
journal = {HAL},
volume = {1997},
number = {0},
year = {1997},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00819342}
}
Rabah, Rabah; Karrakchou, Jamila. On Exact Controllability and Complete Stabilizability for Linear Systems in Hilbert Spaces. HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00819342/