Article ID Journal Published Year Pages File Type
752902 Systems & Control Letters 2009 4 Pages PDF
Abstract

We point out a Lyapunov-type operator equation that shows the existence of an exponential dichotomy for an arbitrary C0C0-semigroup T={T(t)}t≥0 generated by a (possible) unbounded AA. Thus, we extend some known results given by Chicone and Latushkin, Daletskii and Krein, and Datko.

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Physical Sciences and Engineering Engineering Control and Systems Engineering
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The Lyapunov operator equation for the exponential dichotomy of one-parameter semigroups
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