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

Boundary Control for a Class of Dissipative Differential Operators Including Diffusion Systems

Scheduled for presentation during the Mini-Symposium "Distributed Parameter Systems-I: Operator Theoretic Methods" (MoP06), Monday, July 24, 2006, 16:35−17:00, 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 26, 2024

Abstract

In this paper we study a class of partial differential equations (PDE's), which includes Sturm-Liouville systems and diffusion equations. From this class of PDE's we define systems with control and observation through the boundary of the spatial domain. That is, we describe how to select boundary conditions, such that the resulting system has inputs and outputs acting through the boundary. Furthermore, these boundary conditions are chosen in a way that the resulting system has a nonincreasing energy.