具有时变时滞大系统稳定性的新判据

Further results of stability for large-scale systems with time-varying delay

根据微分方程理论和矩阵指数特性 ,讨论了一类具有时变时滞线性大系统的稳定性 ,并导出了具有时滞相关和时滞无关线性系统稳定性的充分条件 .然后讨论了此类大系统的鲁棒稳定条件 ,并与相关文献进行了比较 ,计算实例表明 ,所得出的结果改进了现有文献的研究成果 .参

The stability conditions for a class of linear large-scale time-varying delay systems are discussed in terms of the theory of differential equation and the properties of matrix exponent. Several delay-independent and delay-dependent stability sufficient criteria for such systems are proposed. Robust stability of this class systems is then discussed also. A numerical example is given to illustrate result and some comparisons.16refs.