Szego's First Limit Theorem in Terms of a Realization of a Continuous-Time Time-Varying System

• Autorzy: Iglesias P. A. , Zang G.
• Języki publikacji: EN

Abstrakty

EN

It is shown that the limit in an abstract version of Szego'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.

Słowa kluczowe

EN

time varying system; exponential dichotomies; coprime; inner/outer factorizations

PL

system opóźniania; teoria systemów

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: Vol. 11, no 6
• Strony: 1261--1276
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Iglesias P. A.

autor

Zang G.

• Department of Electrical and Computer Engineering The Johns Hopkins University, Baltimore, MD 21218, U.S.A.,