Opuscula Math. 31, no. 1 (2011), 105-118
Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system
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.
Mathematics Subject Classification: 34G10, 34G20, 93C25.