EXPONENTIAL STABILITY FOR SINGULAR SYSTEMS WITH INTERVAL TIME-VARYING DELAYS

Abstract

This paper deals with the problem of exponential stability for singular systems with interval time-varying delays. By constructing a set of improved Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a new delay-dependent condition is established in terms of linear matrix inequalities (LMIs) which guarantees that the system is regular, impulse-free and exponentially stability.