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Minimal symmetric Darlington synthesis: A frequency domain approach
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2006 (English)In: Proc IEEE Conf Decis Control, 2006, 6732-6737 p.Conference paper (Refereed)
Abstract [en]

Given a p × p Schur function S, we consider the problem of constructing a symmetric Darlington synthesis of minimal size. This amounts essentially to finding a stable all-pass square extension of S of minimal size. The characterization is done in terms of the multiplicities of the zeros. As a special case we obtain conditions for symmetric Darlington synthesis to be possible without increasing the McMillan degree for a symmetric rational contractive matrix which is strictly contractive in the right half-plane. This technique immediately extends to the case where, allowing for a higher dimension of the extension, we require no increase in the McMillan degree. Also in this case we obtain sharper results than those existing in the literature (see [1]).

Place, publisher, year, edition, pages
2006. 6732-6737 p.
, Proceedings of the IEEE Conference on Decision and Control, ISSN 0191-2216
Keyword [en]
Frequency domain analysis, Matrix algebra, Numerical methods, Optimization, Darlington synthesis, Minimal size, Rational contractive matrix, Function evaluation
National Category
URN: urn:nbn:se:kth:diva-155375ScopusID: 2-s2.0-39649114756ISBN: 1424401712ISBN: 9781424401710OAI: diva2:761967
45th IEEE Conference on Decision and Control 2006, CDC, 13-15 December 2006, San Diego, CA, USA

QC 20141110

Available from: 2014-11-10 Created: 2014-11-05 Last updated: 2014-11-10Bibliographically approved

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