On the Kalman-Yakubovich-Popov Lemma for Positive Systems
Författare
Summary, in English
An extended Kalman-Yakubovich-Popov (KYP) Lemma for positive systems is derived. The main difference compared to earlier versions is that non-strict inequalities are treated. Matrix assumptions are also less restrictive. Moreover, a new equivalence is introduced in terms of linear programming rather than semi-definite programming. As a complement to the KYP lemma, it is also proved that a symmetric Metzler matrix with m non-zero entries above the diagonal is negative semi-definite if and only if it can be written as a sum of m negative semi-definite matrices, each of which has only four non-zero entries. This is useful in the context large-scale optimization.
Avdelning/ar
Publiceringsår
2016
Språk
Engelska
Sidor
1346-1349
Publikation/Tidskrift/Serie
IEEE Transactions on Automatic Control
Volym
61
Issue
5
Dokumenttyp
Artikel i tidskrift
Förlag
IEEE - Institute of Electrical and Electronics Engineers Inc.
Ämne
- Control Engineering
Status
Published
Projekt
- LCCC
Forskningsgrupp
- LCCC
ISBN/ISSN/Övrigt
- ISSN: 0018-9286