TY  - JOUR
ID  - Wang2011
LB  - Wang2011
AU  - Wang, JinRong
TI  - Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system
ST  - Existence and stabilizability of steady-state for semilinear pulse-width sampler controlled system
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 1
SP  - 105
EP  - 118
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.1.105
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.1.105
AB  - 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.
KW  - pulse-width sampler system
KW  - compact semigroup
KW  - steady-state
KW  - existence
KW  - stabilizability
SN  - 1232-9274
ER  -