MTNS 2006 Paper Abstract

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

MTNS 2006 Paper Abstract

Paper MoP06.1

Emirsajlow, Zbigniew (Szczecin Univ. of Tech.)

Unbounded Perturbations in Lyapunov Equations

Scheduled for presentation during the Mini-Symposium "Distributed Parameter Systems-I: Operator Theoretic Methods" (MoP06), Monday, July 24, 2006, 15:20−15:45, 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

Keywords Control of distributed parameter systems, Operator methods, Algebraic systems theory

Abstract

This paper studies unbounded perturbations in the differential and algebraic infinite-dimensional Lyapunov equations. The results cover the so-called Desch-Schappacher class of perturbations. In the derivation of the general results we employ the concept of a bi-continuous semigroup. Finally, we specify the results to the Lyapunov equations context.