ASYMPTOTIC STABILITY OF INFINITE-DIMENSIONAL DISCRETE-TIME BALANCED REALIZATIONS

Authors
OBER R WU YY
Citation
R. Ober et Yy. Wu, ASYMPTOTIC STABILITY OF INFINITE-DIMENSIONAL DISCRETE-TIME BALANCED REALIZATIONS, SIAM journal on control and optimization, 31(5), 1993, pp. 1321-1339
Citations number
13
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
31
Issue
5
Year of publication
1993
Pages
1321 - 1339
Database
ISI
SICI code
0363-0129(1993)31:5<1321:ASOIDB>2.0.ZU;2-9
Abstract
The question of power and asymptotic stability of infinite-dimensional discrete-time state space systems is investigated. It is shown that e very balanced realization is asymptotically stable. Conditions are giv en for balanced, input normal, or output normal realizations to be asy mptotically and/or power stable.