Wiener-Hopf factorization of transfer functions of extended Pritchard-Salamon realizations

Authors
Kaashoek, MA van der Mee, CVM Ran, ACM
Citation
Ma. Kaashoek et al., Wiener-Hopf factorization of transfer functions of extended Pritchard-Salamon realizations, MATH NACHR, 196, 1998, pp. 71-102
Citations number
25
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
196
Year of publication
1998
Pages
71 - 102
Database
ISI
SICI code
0025-584X(1998)196:<71:WFOTFO>2.0.ZU;2-P
Abstract
In this paper factorization results for transfer functions of Pritchard-Sal amon systems are obtained. In particular, transfer functions sufficiently c lose to the identity operator are shown to have a canonical Wiener-Hopf fac torization. Moreover, the Bounded Real Lemma is generalized to Pritchard-Sa lamon systems and applied to relate left and right canonical Wiener-Hopf fa ctorizations of their transfer functions.