State estimation and stabilization of continuous-discrete systems with uncertain disturbances

A nonlinear continuous-discrete system subjected to bounded exogenous disturbances is considered. The method of matrix comparison systems and the technique of differential-difference linear matrix inequalities are used to solve the following problems: state estimation via a bounding ellipsoid and the attenuation of initial deviations and uncertain disturbances via a state-feedback loop with discrete measurements. A discrete control design method is proposed to attenuate, on a finite horizon, the initial deviations and uncertain disturbances bounded by the $L_\infty$ norm.