DocumentCode
2831936
Title
Explicit SOS decompositions of univariate polynomial matrices and the Kalman-Yakubovich-Popov lemma
Author
Aylward, Erin M. ; Itani, Sleiman M. ; Parrilo, Pablo A.
Author_Institution
BBN Technol., Cambridge
fYear
2007
fDate
12-14 Dec. 2007
Firstpage
5660
Lastpage
5665
Abstract
The purpose of this paper is twofold. The first is to make explicit the relationship between sum of squares (SOS) decompositions of univariate polynomial matrices and the Kalman-Yakubovich-Popov (KYP) lemma. The second is to present an efficient algorithm for explicitly finding an SOS decomposition of such matrices, inspired by the Hamiltonian-type methods for the solution of Riccati equations.
Keywords
matrix decomposition; polynomial matrices; Hamiltonian-type methods; Kalman-Yakubovich-Popov lemma; Riccati equations; sum of squares decompositions; univariate polynomial matrices; Control systems; Linear matrix inequalities; Matrix decomposition; Optimization methods; Polynomials; Riccati equations; Signal processing; Signal processing algorithms; Terminology; USA Councils;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2007 46th IEEE Conference on
Conference_Location
New Orleans, LA
ISSN
0191-2216
Print_ISBN
978-1-4244-1497-0
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2007.4435026
Filename
4435026
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