Creator:
Weiss, George ; Staffans, Olof J. ; Tucsnak, Marius
Contributor:
Fliess, Michel - ed. ; Jai, Abdelhaq El - ed.
Title:
Well-posed linear systems - A survey with emphasis on conservative systems
Subtitle:
Mathematical Theory of Networks and Systems
Group publication title:
Subject and Keywords:
well-posed linear system ; regular linear system ; operator semigroup ; conservative system ; scattering theory ; time-flow-inversion ; differential equations in Hilbert space ; beam equation
Abstract:
We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. ; We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Date:
Resource Type:
Pages:
Source:
AMCS, volume 11, number 1 (2001) ; click here to follow the link