Title :
The analytic center of LMI´s and Riccati equations
Author :
Genin, Y. ; Nesterov, Y. ; van Dooren, P.
Author_Institution :
CESAME, Univ. Catholique de Louvain, Louvain-La-Neuve, Belgium
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
In this paper we derive formulas for constructing the analytic center of the linear matrix inequality defining a positive (para-hermitian) transfer function. The Riccati equations that are usually associated with such positive transfer functions, are related to boundary points of the convex set. In this paper we show that the analytic center is also described by a closely related equation, and we analyze its spectral properties.
Keywords :
Riccati equations; linear matrix inequalities; Riccati equations; linear matrix inequality; positive transfer functions; spectral properties; Convex functions; Discrete-time systems; Eigenvalues and eigenfunctions; Gold; Linear matrix inequalities; Riccati equations; Transfer functions; Linear Matrix Inequality; Riccati Equations;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
