Creator:

Dym, Harry

Contributor:

Fliess, Michel - ed. ; Jai, Abdelhaq El - ed.

Title:

Reproducing kernels and Riccati equations

Subtitle:

Mathematical Theory of Networks and Systems

Group publication title:

AMCS, volume 11 (2001)

Subject and Keywords:

Riccati equations ; Lyapunov equations ; reproducing kernel spaces ; de Branges spaces ; J-inner matrix valued functions ; J-unitary matrix valued functions

Abstract:

The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix valued functions that are J-unitary on the imaginary axis in a natural way.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2001

Resource Type:

artykuł

Pages:

35-53

Source:

AMCS, volume 11, number 1 (2001) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego