Zwart, Hans (Univ. of Twente), Le Gorrec, Yann (Univ. Claude Bernard Lyon 1), Maschke, Bernhard (Univ. Claude Bernard de Lyon), Villegas, Javier Andres (Univ. of Twente)

Well-Posedness and Regularity for a Class of Hyperbolic Control Systems

Scheduled for presentation during the Mini-Symposium "Distributed Parameter Systems-III: Control of Partial Differential Equations" (WeA06), Wednesday, July 26, 2006, 10:50−11:15, Room G

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 24, 2024

Abstract

We study a class of hyperbolic partial differential equations on a one dimensional spatial domain with control and observation at the boundary. Using the idea of feedback we show this class of (boundary control) system defines a well-posed system in the sense of Weiss and Salamon. Furthermore, we show that the corresponding transfer function is regular, i.e., has a limit for s going to infinity.