Creator:

Iglesias, Pablo A. ; Zang, Guoqiang

Contributor:

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

Title:

Szegö's first limit theorem in terms of a realization of a continuous-time time-varying system

Subtitle:

Infinite-Dimensional Systems Theory and Operator Theory

Group publication title:

AMCS, volume 11 (2001)

Subject and Keywords:

time-varying systems ; exponential dichotomies ; coprime ; inner/outer factorizations

Abstract:

It is shown that the limit in an abstract version of Szegö's limit theorem can be expressed in terms of the antistable dynamics of the system. When the system dynamics are regular, it is shown that the limit equals the difference between the antistable Lyapunov exponents of the system and those of its inverse. In the general case, the elements of the dichotomy spectrum give lower and upper bounds.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2001

Resource Type:

artykuł

Pages:

1261-1276

Source:

AMCS, volume 11, number 6 (2001) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego