Stability of differential-difference equations with norm-bounded uncertainty

This article discusses the stability problem of coupled linear differential-difference equations with norm bounded uncertainty. Coupled differential-difference equations represent a very general class of time-delay systems, which include as special cases many time-delay systems of neutral type, systems with commensurate delays, and many singular time-delay systems. A new stability criterion in the form of linear matrix inequality is derived using the discretized Lyapunov-Krasovskii functional method. A number of examples are presented to illustrate the effectiveness of this method.