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Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system

By JinRong. Wang

Abstract

Tyt. z nagł.References p. 117.Dostępny również w formie drukowanej.ABSTRACT: 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. KEYWORDS: pulse-width sampler system, compact semigroup, steady-state, existence, stabilizability

DOI identifier: 10.7494/opmath.2011.31.1.105
OAI identifier: oai:abc.krakow.pl:dd2011320044
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