Well-Posedness and admissible stabilizability for Pritchard-Salamon systems

Faming Guo; Qiong Zhang; Falun Huang

doi:10.1016/S0893-9659(02)00145-3

Well-Posedness and admissible stabilizability for Pritchard-Salamon systems

Faming Guo^*
, Qiong Zhang
, Falun Huang

^*Corresponding author for this work

Sichuan University

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this note, we obtain a perfect characterization of generator of the perturbation semigroup for Pritchard-Salamon systems. From this we give a much simpler and more straight proof of the theorem on nest of feedback loop and answer the open problem posed by Curtain, Logemann, Townley and Zwart. More precisely, we establish that the smooth condition is unnecessary in the constructive argument for Pritchard-Salmon systems.

Original language	English
Pages (from-to)	65-70
Number of pages	6
Journal	Applied Mathematics Letters
Volume	16
Issue number	1
DOIs	https://doi.org/10.1016/S0893-9659(02)00145-3
Publication status	Published - Jan 2003
Externally published	Yes

Keywords

Admissible
C -semigroup
Perturbation
Pritchard-Salamon system
Stabilizability

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10.1016/S0893-9659(02)00145-3

Cite this

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abstract = "In this note, we obtain a perfect characterization of generator of the perturbation semigroup for Pritchard-Salamon systems. From this we give a much simpler and more straight proof of the theorem on nest of feedback loop and answer the open problem posed by Curtain, Logemann, Townley and Zwart. More precisely, we establish that the smooth condition is unnecessary in the constructive argument for Pritchard-Salmon systems.",

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AB - In this note, we obtain a perfect characterization of generator of the perturbation semigroup for Pritchard-Salamon systems. From this we give a much simpler and more straight proof of the theorem on nest of feedback loop and answer the open problem posed by Curtain, Logemann, Townley and Zwart. More precisely, we establish that the smooth condition is unnecessary in the constructive argument for Pritchard-Salmon systems.

KW - Admissible

KW - C -semigroup

KW - Perturbation

KW - Pritchard-Salamon system

KW - Stabilizability

UR - https://www.scopus.com/pages/publications/84867968350

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M3 - Article

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SP - 65

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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Well-Posedness and admissible stabilizability for Pritchard-Salamon systems

Abstract

Keywords

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