这份报纸作为从一些概率分发拉的随机的变量与时间延期使不明确的系统的柔韧的稳定性分析担心。为在吝啬的方形的感觉的原来的系统的指数的稳定性的 delay-distribution-dependent 标准被 Lyapunov 功能的方法和线性矩阵不平等(LMI ) 完成技术。建议途径包含也不自由的 weighting 矩阵也不任何模型转变,并且它证明新标准能比一些存在的提供不太保守的结果。数字例子被给表明有效性和建议方法的好处。
This paper concerns the robust stability analysis of uncertain systems with time delays as random variables drawn from some probability distribution. The delay-distribution-dependent criteria for the exponential stability of the original system in mean square sense are achieved by Lyapunov functional method and the linear matrix inequality (LMI) technique. The proposed approach involves neither free weighting matrices nor any model transformation, and it shows that the new criteria can provide less conservative results than some existing ones. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.