Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations

This paper deals with the problem of stabilizing a hybrid stochastic system with norm bounded uncertainties. State-feedback controls based on discrete-time observations are designed in the drift and diffusion parts of the system. The controlled system will be robustly exponentially stable in mean-square. Applying linear matrix inequality techniques, criteria to determine controllers and time lags are developed. One numerical example is given to verify our techniques.