On Robust Stabilization of Uncertain Singular Markovian Jump Systems via Hybrid Impulsive Control

This paper investigates the problem of robust stabilization for a class of uncertain singular Markovian jump systems via impulsive and proportional-derivative state feedback controller (IPDSFC). The uncertainties exhibit in both system matrices and transition rate matrix of the Markovian chain. Sufficient conditions are obtained to verify the existence of mode-dependent IPDSFC such that the closed-loop system is normalized and robustly stochastically stable. Linearization approach via congruence transformations is proposed to solve the controller design problem. A numerical example is provided to illustrate the effectiveness of the proposed methods.