具有时变时滞大系统的新的稳定性条件

A new sufficient condition for stability of large-scale systems with time-delay

应用矩阵的相似变换原理和矩阵指数特性 ,通过估计微分方程的解 ,导出了一类具有时变时滞的大系统的时滞无关稳定性条件 其结论仅需时滞具有正数界 ,克服了已有文献结论中的对时滞的苛刻的约束条件 ,并给出了一个数值实例 ,实例仿真结果表明 ,所得结果优于现有文献的结果 参

In this paper a new delay-independent stability criterion for a class of linear large-scale time-varying delay systems is deduced by estimating the solution of differential equation.The similar transformation technique and matrix exponential properties are used to develop the stability criterion.A numeric example is given to illustrate our result,and some comparisons with previous results in the literature are made finally,which show that our result is better.10refs.