Stabilization and decay estimate of linear control systems in Hilbert space with non-linear feedback

Stabilization and decay estimate of linear control systems in Hilbert space with non-linear feedback

We consider the problem of stabilization of linear control systems in Hilbert space with non-linear feedback. Extensions of known results in the linear feedback case to the non-linear one are given. Furthermore, under appropriate controllability assumptions, energy decay estimates are established. A...

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Veröffentlicht in:IMA journal of mathematical control and information 2009-12, Vol.26 (4), p.495-507
1. Verfasser: Berrahmoune, Larbi
Format: Artikel
Sprache:eng
Schlagworte:
Control systems
Control theory
Decay
decay estimate
Estimates
Feedback
Hilbert space
Linear control
non-linear feedback
Nonlinearity
Stabilization
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Zusammenfassung:We consider the problem of stabilization of linear control systems in Hilbert space with non-linear feedback. Extensions of known results in the linear feedback case to the non-linear one are given. Furthermore, under appropriate controllability assumptions, energy decay estimates are established. Applications to the saturating control case are treated.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnp027