Struktura obiektu

Autor:

Staffans, Olof J.

Współtwórca:

Curtain, Ruth - ed. ; Kaashoek, Rien - ed.

Tytuł:

J-energy preserving well-posed linear systems

Podtytuł:

Infinite-Dimensional Systems Theory and Operator Theory

Tytuł publikacji grupowej:

AMCS, volume 11 (2001)

Temat i słowa kluczowe:

well-posed linear system ; system node ; transfer function ; Lax-Phillips semigroup ; dissipative systems ; conservative system ; model theory ; conservative realization ; J-energy-preserving system ; Lyapunov equations ; Riccati equation

Abstract:

The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. ; The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foiaş. ; The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2001

Typ zasobu:

artykuł

Strony:

1361-1378

Źródło:

AMCS, volume 11, number 6 (2001) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego