并利用离散李亚普诺夫函数法导出系统稳定的条件。
The stability conditions are derived using a discrete Lya-punov function.
基于条件李亚普诺夫指数，对混沌系统的脉冲同步形式和同步范围进行了研究，突破了传统的基本假设。
Based on conditional Lyapunov exponent, the impulsive synchronization form and interval of chaotic systems are studied, which breaks the traditional basic assumptions.
因为使用了参数依赖的李亚普诺夫稳定性思想，此鲁棒稳定条件比基于二次稳定概念的稳定条件的保守性更小。
Due to the idea of parameter-dependent Lyapunov stability, the obtained robust stability condition has less conservativeness than the one based on quadratic stability.
通过构造特殊的李亚普诺夫函数，分别考虑了时滞相关和时滞无关两种情形，得到了系统鲁棒绝对稳定的充分条件。
Via the constructive Lyapunuov function, the case independent of delay and dependent of delay is investigated respectively, and the sufficient conditions of robust absolute stability are gained.
本文应用李亚普诺夫直接法研究了切削过程中在机床结构刚度非线性条件下速度型颤振的动态稳定性问题。
Liapunov's Direct Method is used to solve the stability problem of the speed-type chattering occurring in machine tool during cutting.
基于参数依赖的李亚普诺夫稳定性和线性矩阵不等式推导出使得时滞鲁棒稳定系统鲁棒稳定的充分条件。
Based on the parameter-dependent Lyapunov stability and linear matrix inequality, the sufficient condition for robust stability is derived to enable the systems with delays to be robustly stable.
基于参数依赖的李亚普诺夫稳定性和线性矩阵不等式推导出使得时滞鲁棒稳定系统鲁棒稳定的充分条件。
Based on the parameter-dependent Lyapunov stability and linear matrix inequality, the sufficient condition for robust stability is derived to enable the systems with delays to be robustly stable.
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