State estimation and stabilization of continuous systems with uncertain nonlinearities and disturbances

Abstract

Nonautonomous control systems with uncertain nonlinearities subjected to bounded exogenous disturbances are considered. Based on the method of matrix comparison systems and the framework of differential linear matrix inequalities, we suggest a solution approach to the problems of state estimation, stability and boundedness with respect to given sets, as well as suppression of disturbances and initial deviations using linear state-feedback control.