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Browsing by Subject "compact semigroup"

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    Item type:Article, Access status: Open Access ,
    Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system
    (2011) Wang, JinRong
    In this paper, we study the steady-state of a semilinear pulse-width sampler controlled system on infinite dimensional spaces. Firstly, by virtue of Schauder's fixed point theorem, the existence of periodic solutions is given. Secondly, utilizing a generalized Gronwall inequality given by us and the Banach fixed point theorem, the existence and stabilizability of a steady-state for the semilinear control system with pulse-width sampler is also obtained. At last, an example is given for demonstration.