NDLI: On polynomial matrix spectral factorization by symmetric extraction

Content Provider	IEEE Xplore Digital Library
Author	Callier, F.
Copyright Year	1963
Abstract	We revise the 1963 Davis algorithm [2] for the spectral factorization of a para-Hermitian nonnegative polynomial matrix\Phi, by symmetric factor extraction: this algorithm is careless about zeros at infinity. By introducing the notion of diagonal reducedness of\Phi, we obtain an easy sufficient test for the absence of zeros at infinity. We show then how to get\Phi, diagonally reduced by diagonal excess reduction steps (similar to the Oono and Yasuura steps), removing all zeros at infinity, and then how to remove synunetrically finite zeros while keeping el, diagonally reduced (hence, free of zeros at infinity). This results in a revised symmetric extraction spectral factorization algorithm with monotone degree control. An example shows the didactical conceptual simplicity of the method. Appropriate symmetric extraction is discovered by revising and discovering important particular one-sided factor extraction properties of polynomial matrices.
Sponsorship	IEEE Control Systems Society
Starting Page	453
Ending Page	464
Page Count	12
File Size	1289635
File Format	PDF
ISSN	00189286
Volume Number	30
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1985-05-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Symmetric matrices H infinity control Testing Poles and zeros Mathematics
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Computer Science Applications Electrical and Electronic Engineering

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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Mr. Siddhartha Mukherjee siddhartha@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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