@Article{Wang2011, author = "Wang, JinRong", title = "Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system", journal = "Opuscula Math.", year = "2011", volume = "31", number = "1", pages = "105--118", doi = "http://dx.doi.org/10.7494/OpMath.2011.31.1.105", url = "http://dx.doi.org/10.7494/OpMath.2011.31.1.105", 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", issn = "1232-9274" }