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

Authors
Curtain, RF Sasane, AJ
Citation
Rf. Curtain et Aj. Sasane, Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems, INT J CONTR, 74(12), 2001, pp. 1260-1270
Citations number
28
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF CONTROL
ISSN journal
00207179 → ACNP
Volume
74
Issue
12
Year of publication
2001
Pages
1260 - 1270
Database
ISI
SICI code
0020-7179(200108)74:12<1260:CANOTH>2.0.ZU;2-4
Abstract
We examine the relationships between the exponential (or strong) stability of certain classes of regular linear systems and the compactness and nuclea rity properties of the Hankel operator. New sufficient conditions for nucle arity are given for exponentially stable regular linear systems with an ana lytic semigroup.