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

Iglesias, Pablo ; Zang, Guoqiang

International Journal of Applied Mathematics and Computer Science, Tome 11 (2001), p. 1261-1276 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 2001-01-01

Zbl 1031.93064

EUDML-ID : urn:eudml:doc:207554

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