Dubi, Chen (Shamoon Coll. of engineering)

The Multiplicative Structure of J-Tilde{j} Co--Inner Matrix Valued Functions

Scheduled for presentation during the Mini-Symposium "The state space method: new directions and problems" (FrA12), Friday, July 28, 2006, 11:15−11:40, 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 26, 2024

Abstract

Let $J$ and $widetilde{J}$ be two signature matrices with the same negative index. A rational $mathbb{C}^{p times q}$ matrix valued function $Theta$ is said to be $(J,widetilde{J})$ coinner (on the right half plain) if [ frac{J-Theta(z)widetilde{J}Theta^{*}(w)}{z+overline{w} } geq 0 ] and [ J-Theta(w)widetilde{J}Theta^{*}(w)=0 quad text{for $w in imathbb{R}$} ]

The outline of the talk is to present a theorem on the multiplicative structure of $(J,widetilde{J})$ coinner matrix valued functions. In more specifics, we prove that every such $Theta(z)$ is a product of $n$ elementary factors