State Estimation and Stabilization of Continuous Systems with Sector Nonlinearities and Bounded Disturbances1

In this paper time-variant systems with sector nonlinearities tending to be affected by bounded external disturbances are considered. We present an approach to solving problems of state estimation, stability, boundedness relatively to given sets, rejection of bounded external disturbances and initial deviations by using static linear state feedback, based on matrix comparison systems method and differential linear matrix inequalities.