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基于Lyapunov稳定性理论,推导出时滞系统的时滞独立稳定充分条件方程式,并给出了定理的另一种表述形式.在此基础上,给出了几个判定线性时滞系统独立稳定的简单判据.还讨论了时滞系统的指数稳定性,给出了系统具有任意指定收敛速度指数稳定的充分条件及相应的推论.在使用这些条件时,只需选取一组合适的参数即可降低条件的保守性.通过实例计算和对文中方法与文献中的方法进行比较表明,文中方法具有较小的保守性
Based on the Lyapunov stability theory, the delay-independent stable sufficient condition equations for time-delay systems are derived, and another formulation of the theorems is given. On this basis, several simple criteria for the independent stability of linear time-delay systems are given. The exponential stability of the system with time delay is also discussed. The sufficient conditions for the exponential stability of any given convergence rate and the corresponding corollary are given. When using these conditions, the conservativeness of the condition can be reduced by simply selecting a suitable set of parameters. By example calculation and comparison of the methods in the text and the methods in the literature, the method in the paper is less conservative