Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems

• Autorzy: Weiss G. , Staffans O. J. , Tucsnak M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

well-posed linear systems; regular linear system; operator semigroup; consevative system; scattering theory; time-flow-inversion; differential equations in Hilbert space; beam equation

PL

system liniowy; układ zachowawczy; równanie różniczkowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: Vol. 11, no 1
• Strony: 7--33
• Opis fizyczny: Bibliogr. 36 poz.,

Twórcy

autor

Weiss G.

autor

Staffans O. J.

autor

Tucsnak M.

• Department of Electrical and Electronic Engineering Imperial College of Science and Technology Exhibition Road, London SW7 2BT, United Kingdom,