Dym, Harry (The Weizmann Inst. of Science)

Riccati Inequalities and Reproducing Kernel Hilbert Spaces

Scheduled for presentation during the Mini-Symposium "The state space method: new directions and problems" (FrA12), Friday, July 28, 2006, 10:50−11:15, Room 104b

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 20, 2024

Abstract

Connections between the positive semidefinite solutions $X$ of nonhomogeneous algebraic Riccati equations and finite dimensional reproducing kernel Hilbert spaces based on rectangular $(J, widetilde{J})$-coinner proper rational matrix valued functions $Theta(lambda)$ that were recently obtained in collaboration with Chen Dubi cite{dd1} will be discussed and applied to obtain factorization formulas for rectangular $Theta(lambda)$. The talk will be expository.