%0 Journal Article
%T Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system
%A JinRong Wang
%J Opuscula Mathematica
%D 2011
%I AGH University of Science and Technology
%X 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.
%K pulse-width sampler system
%K compact semigroup
%K steady-state
%K existence
%K stabilizability
%U http://www.opuscula.agh.edu.pl/vol31/1/art/opuscula_math_3108.pdf