# 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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