Szegő's first limit theorem in terms of a realization of a continuous-time time-varying systems

• Autorzy: Pablo A. Iglesias , Guoqiang Zang
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 6
• Strony: 1261-1276

Daty

wydano

2001

Twórcy

autor

Pablo A. Iglesias

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

autor

Guoqiang Zang

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

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