Minimal symmetric Darlington synthesis: A frequency domain approach
2006 (English)In: Proc IEEE Conf Decis Control, 2006, 6732-6737 p.Conference paper (Refereed)
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 ).
Place, publisher, year, edition, pages
2006. 6732-6737 p.
, Proceedings of the IEEE Conference on Decision and Control, ISSN 0191-2216
Frequency domain analysis, Matrix algebra, Numerical methods, Optimization, Darlington synthesis, Minimal size, Rational contractive matrix, Function evaluation
IdentifiersURN: urn:nbn:se:kth:diva-155375ScopusID: 2-s2.0-39649114756ISBN: 1424401712ISBN: 9781424401710OAI: oai:DiVA.org:kth-155375DiVA: diva2:761967
45th IEEE Conference on Decision and Control 2006, CDC, 13-15 December 2006, San Diego, CA, USA
QC 201411102014-11-102014-11-052014-11-10Bibliographically approved