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NEW RESULTS ON THE PARAMETRIZATION OF J-SPECTRAL FACTORS
S. Weiland* A. Gombani†
* Department of Electrical Engineering, Eindhoven University of
Technology, P.O.Box 513, 5600 MB Eindhoven, The Netherlands.
Email: s.weiland@tue.nl
† LADSEB-CNR, Corso Stati Uniti 4, 35127 Padova, Italy. E-mail:
gombani@ladseb.pd.cnr.it
This paper considers a parametrization of a class of J spectral factors of a given J spectral density. The notion of J stable functions is introduced to define a partial ordering on the set of J spectral factors. Necessary and sufficient conditions for the existence of extremal J spectral factors are given and a number of explicit factorization results is derived which serve for the algorithmic aspects of computing specific J spectral factors.
Keywords: J-spectral factors, factorization theory, linear systems
Session slot T-Tu-E18: Time-varying systems and factorization/Area code 2b : Linear Systems
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