Asymptotic stabilization of infinite-dimensional systems which cannot be exponentially stabilized
Asymptotic stabilization of infinite-dimensional systems which cannot be exponentially stabilized
The question of the stabilization by state feedback of an infinite-dimensional continuous-time system is discussed. Systems are introduced for which no state feedback exists such that the closed-loop system is exponentially stable. But it is shown that a state feedback exists such that the closed-loop system is asymptotically stable.
Asymptotic stability, Blaschke product, Exponential stability, Infinite dimensional linear system, Stabilization, State feedback
61-63
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
25 August 1998
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Ober, Raimund J.
(1998)
Asymptotic stabilization of infinite-dimensional systems which cannot be exponentially stabilized.
Systems and Control Letters, 35 (1), .
(doi:10.1016/S0167-6911(98)00030-9).
Abstract
The question of the stabilization by state feedback of an infinite-dimensional continuous-time system is discussed. Systems are introduced for which no state feedback exists such that the closed-loop system is exponentially stable. But it is shown that a state feedback exists such that the closed-loop system is asymptotically stable.
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Published date: 25 August 1998
Keywords:
Asymptotic stability, Blaschke product, Exponential stability, Infinite dimensional linear system, Stabilization, State feedback
Identifiers
Local EPrints ID: 425016
URI: http://eprints.soton.ac.uk/id/eprint/425016
ISSN: 0167-6911
PURE UUID: 17da0453-c27f-45ee-bc43-6afdab39362b
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Date deposited: 09 Oct 2018 16:30
Last modified: 06 Jun 2024 02:04
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