DELAY-DEPENDENT ROBUST EXPONENTIAL STABILITY OF UNCERTAIN DESCRIPTOR SYSTEMS WITH TIME-VARYING DELAYS

摘要

This paper is concerned with the robust exponential stability of descriptor systems with time-varying delays and time-varying parameter uncertainties. Delay-dependent stability criteria, given in terms of linear matrix inequalities, are proposed, which guarantee the considered system is regular and impluse-free independent of the delay time and robustly exponentially stable when the delay time is sufficiently small. Applications of the derived theorems are given through examples.