时滞系统解的有界性、稳定性与渐近阶

Boundedness Stability and Asymptotic Orders for Solutions of Delay Systems

研究时变线性时滞系统解的有界性、稳定性和渐近阶。基于文［１］中的微分差分不等式和有关结果，用统一的方法得到了有界性和稳定性的充分条件．这些条件由系统的系数给出，由这些条件可以得到线性时滞系统稳定性的一些巳有结果，同时还得到了几类解的渐近阶（含非指数型）的估计。

Based on the differential difference inequality and its related resultS in [1], a unified approach to get boundedness, stability and estimation of asymptotic orders for solutions of time-varying linear delay systems is presented. Conditions for the boundedness and stability are derived in terms of system coefficients. Estimations of asymptotic order of several types, including nonexponential type, are obtained as well.Some existing results on stability of linear delay systems can be deduced from the obtained conditions.