Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems

RF Curtain; AJ Sasane

Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems

RF Curtain^*, AJ Sasane

^*Corresponding author for this work

Faculty of Science and Engineering

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

29 Citations (Scopus)

Abstract

We examine the relationships between the exponential (or strong) stability of certain classes of regular linear systems and the compactness and nuclearity properties of the Hankel operator. New sufficient conditions for nuclearity are given for exponentially stable regular linear systems with an analytic semigroup.

Original language	English
Pages (from-to)	1260-1270
Number of pages	11
Journal	International Journal of Control
Volume	74
Issue number	12
Publication status	Published - Aug-2001

Keywords

APPROXIMATION

Cite this

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title = "Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems",

abstract = "We examine the relationships between the exponential (or strong) stability of certain classes of regular linear systems and the compactness and nuclearity properties of the Hankel operator. New sufficient conditions for nuclearity are given for exponentially stable regular linear systems with an analytic semigroup.",

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author = "RF Curtain and AJ Sasane",

year = "2001",

month = aug,

language = "English",

volume = "74",

pages = "1260--1270",

journal = "International Journal of Control",

issn = "1366-5820",

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TY - JOUR

T1 - Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems

AU - Curtain, RF

AU - Sasane, AJ

PY - 2001/8

Y1 - 2001/8

N2 - We examine the relationships between the exponential (or strong) stability of certain classes of regular linear systems and the compactness and nuclearity properties of the Hankel operator. New sufficient conditions for nuclearity are given for exponentially stable regular linear systems with an analytic semigroup.

AB - We examine the relationships between the exponential (or strong) stability of certain classes of regular linear systems and the compactness and nuclearity properties of the Hankel operator. New sufficient conditions for nuclearity are given for exponentially stable regular linear systems with an analytic semigroup.

KW - APPROXIMATION

M3 - Article

VL - 74

SP - 1260

EP - 1270

JO - International Journal of Control

JF - International Journal of Control

SN - 1366-5820

IS - 12

ER -