NDLI: Computation of the (J, J')-spectral and (J, J')-lossless factorizations of a general system

Content Provider	IEEE Xplore Digital Library
Author	Oară, C. Andrei, R.
Copyright Year	2010
Description	Author affiliation: Fac. of Autom. Control & Comput., Univ. “Politeh.” Bucharest, Bucharest, Romania (Oară, C.; Andrei, R.)
Abstract	We consider rich extensions of the J-lossless conjugation, (J, J')-spectral, and (J, J')- lossless factorizations to become applicable to a descriptor system whose transfer matrix is a completely general rational matrix function. The main novelty is that we allow for arbitrary rank, poles and zeros on the imaginary axis, or at infinity. We use descriptor state-space realizations to obtain constructive formulas for the solutions which bear the same nice expressions and striking simplicity of the regular case. Besides, we remedy numerical drawbacks of alternative approaches by employing a preliminary unitary projection which delineates a subsystem fulfilling all regularity assumptions and for which we actually solve the factorizations.
Starting Page	1085
Ending Page	1090
File Size	837407
Page Count	6
File Format	PDF
ISBN	9781424474264
ISSN	07431619
e-ISBN	9781424474271
DOI	10.1109/ACC.2010.5530783
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	H infinity control Poles and zeros Control systems Image analysis Polynomials Automatic control Councils Filtering theory Game theory Extraterrestrial measurements singular systems J-lossless conjugation (J, J')-spectral factorization (J, J')-lossless factorization
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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