D-stability analysis for sampled-data system with short time-varying delay

D-stability of sampled-data system with short time-varying delay is presented. Firstly a continuous sampled object is modeled as an uncertain discrete time system with one time delay, the relationship of sampling period h and time-varying delay τ(t) are fully considered in the process of modeling. Secondly, two types of parametric perturbations θ(δ) are analyzed, which are included by unstructured uncertainties, highly structured uncertainties respectively. Thirdly, two types of D(α,r)-stable conditions are obtained in terms of different parametric perturbations. Finally, A numerical example is proposed to show feasibility and effectiveness of the presented algorithm.