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math.OC2013
Observation of vibrating systems at different time instants
Ambroise Vest
In this paper, we obtain new observability inequalities for the vibrating string. This work was motivated by a recent paper by A. Szijártó and J. Hegedűs in which the authors ask t…
math.OC2013
On the structural properties of an efficient feedback law
Ambroise Vest
We investigate some structural properties of an efficient feedback law that stabilize linear time-reversible systems with an arbitrarily large decay rate. After giving a short proo…
math.OC2013
Rapid stabilization in a semigroup framework
Ambroise Vest
We prove the well-posedness of a linear closed-loop system with an explicit (already known) feedback leading to arbitrarily large decay rates. We define a mild solution of the clos…