Upper Estimates of the Deviations in Linear Dynamical Systems Subjected to Uncertainty

Abstract

In this talk, the linear dynamical system subjected to uncertainty in the system matrix is considered. Using the linear matrix inequality technique we obtain the upper bounds for the deviations in linear systems. An LMI-based stabilizing feedback procedure is proposed which guarantees “as small as possible” deviations. The results of numerical simulations demonstrate the low conservatism of the obtained bounds.