Polyhedral Regions of Stability for Aperiodic Sampled-Data Linear Control Systems With Saturating Inputs

This work proposes a method to assess the local asymptotic stability and provide polyhedral estimates of region attraction origin (RAO) linear systems under aperiodic sampled-data control saturating inputs. The approach is based on discrete-time model that describes behavior system state between consecutive sampling instants. It corresponds difference inclusion defined from partition intersampling interval saturated nonsaturated (SNS) embedding saturation functions. A construct contractive set for this proposed. shown induces Lyapunov function strictly decreasing at instants it an estimate RAO continuous-time closed-loop system.