On the stability analysis of large-scale systems by Lyapunov functions, it is necessary to determine the stability of vector comparison equations.
用矢量李雅普诺夫函数解决大系统的稳定性问题必须要判断矢量比较方程的稳定性。
Multiple Lyapunov functions method is introduced to design the switching law between controllers, the system is asymptotically stable under the switching law.
采用多李亚普诺夫函数方法设计控制器的切换律，系统在此切换律下可以达到渐近稳定。
In this paper, the periodic solution of sinusoidal PPL equation for FW inputs has been discussed with the traditional qualitative method and Lyapunov functions.
本文用传统的定性方法和函数方法讨论了调频输入的正弦锁相环路方程的周期解。
Using multiple Lyapunov functions, a sufficient condition is derived to ensure that the switched nonlinear systems are uniformly bounded and uniformly ultimate bounded.
基于李雅普·诺夫函数方法，给出了无激励非线性切换系统一致有界和一致最终有界的充分条件。
This article is intended to develop a method for constructing Vector Lyapunov functions and the application to the stability analysis of linear and nonlinear composite systems.
本文的目的是叙述构造矢量李亚普诺夫函数的方法和应用于线性与非线性复合系统的稳定性分析。
The definition of the minimum switching strategy is given, and it is proved that the systems stability based on Lyapunov functions can be maintained with the minimum switching strategy.
对最小切换策略进行了定义，并在理论上证明了该切换策略能保持系统在李雅普·诺夫意义下的稳定性。
Further convex partitioning of the state's regions increases the possibility of finding the piece-wise quadratic Lyapunov functions, which reduces the conservativeness of the stability analysis.
对PWA模型的状态区域进一步的细化凸划分，以增加找到分段二次lyapunov函数的可能性，减低闭环系统稳定性分析的保守性。
Further convex partitioning of the state's regions increases the possibility of finding the piece-wise quadratic Lyapunov functions, which reduces the conservativeness of the stability analysis.
对PWA模型的状态区域进一步的细化凸划分，以增加找到分段二次lyapunov函数的可能性，减低闭环系统稳定性分析的保守性。
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