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

MTNS 2006 Paper Abstract

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Paper MoP06.5

Jacob, Birgit (Delft Univ. of Tech.), Zwart, Hans (Univ. of Twente)

On Approximate Observability of Strongly Stable Systems

Scheduled for presentation during the Mini-Symposium "Distributed Parameter Systems-I: Operator Theoretic Methods" (MoP06), Monday, July 24, 2006, 17:00−17:25, 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 19, 2024

Keywords Control of distributed parameter systems, Linear systems

Abstract

The Hautus test of Russell and Weiss is sufficient for approximate observability if the system is exponentially stable. In this paper we show by means of an example that this statement does not hold for strongly stable systems even if the system is modeled by a contraction semigroup.