ON THE ROBUSTNESS OF THE STABILITY OF LYAPUNOV-TYPE STATE-FEEDBACK SYSTEMS

Abstract

A generalized Lyapunov-type state feedback design for uncertain systems is proposed. Based on the solution of the proposed Lyapunov-type equation, bounds of the nonlinear (linear), time-varying/invariant uncertainties are obtained to maintain the system's stability. No statistical description of uncertain elements is assumed, and it is not necessary for the so-called ''matching condition'' to be satisfied, either.