Szegő's first limit theorem in terms of a realization of a continuous-time time-varying systems
International Journal of Applied Mathematics and Computer Science (2001)
- Volume: 11, Issue: 6, page 1261-1276
- ISSN: 1641-876X
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topIglesias, Pablo, and Zang, Guoqiang. "Szegő's first limit theorem in terms of a realization of a continuous-time time-varying systems." International Journal of Applied Mathematics and Computer Science 11.6 (2001): 1261-1276. <http://eudml.org/doc/207554>.
@article{Iglesias2001,
abstract = {It is shown that the limit in an abstract version of Szegő'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.},
author = {Iglesias, Pablo, Zang, Guoqiang},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {time-varying systems; inner/outer factorizations; coprime; exponential dichotomies; dichotomy spectrum; Lyapunov exponents; Szegő’s first limit; antistable dynamics},
language = {eng},
number = {6},
pages = {1261-1276},
title = {Szegő's first limit theorem in terms of a realization of a continuous-time time-varying systems},
url = {http://eudml.org/doc/207554},
volume = {11},
year = {2001},
}
TY - JOUR
AU - Iglesias, Pablo
AU - Zang, Guoqiang
TI - Szegő's first limit theorem in terms of a realization of a continuous-time time-varying systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2001
VL - 11
IS - 6
SP - 1261
EP - 1276
AB - It is shown that the limit in an abstract version of Szegő'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.
LA - eng
KW - time-varying systems; inner/outer factorizations; coprime; exponential dichotomies; dichotomy spectrum; Lyapunov exponents; Szegő’s first limit; antistable dynamics
UR - http://eudml.org/doc/207554
ER -
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