Well-posed linear systems - a survey with emphasis on conservative systems

• Autorzy: George Weiss , Olof J. Staffans , Marius Tucsnak
• 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

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 1
• Strony: 7-33

Daty

wydano

2001

otrzymano

2000-09-01

poprawiono

2001-01-01

Twórcy

autor

George Weiss

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

autor

Olof J. Staffans

• Department of Mathematics, Abo Akademi University, FIN-20500 Abo, Finland

autor

Marius Tucsnak

• Department of Mathematics, University of Nancy-I, POB 239, Vandoeuvre les Nancy 54506, France

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