最后，利用李雅普诺夫函数概念和方法得到了闭环控制系统具有大域渐近稳定性的充分条件。
Finally, by using the concept and method of the Lyapunov function, a sufficient condition for the approximate stability in the large field of the closed-loop control system is derived.
并在构建李雅普·诺夫函数及理论分析的基础上提出了基于能量的控制器方法。
After Lyapunov function is DE - rived, with theoretical analysis, energy-based control design method is discussed in order to solve the global stability problem.
同时，给出了切换状态反馈控制器和闭环切换系统的公共李雅普诺夫函数的设计算法。
Meanwhile, the design algorithm for the switching state feedback controllers and the common Lyapunov function of the closed-loop switched system is given.
利用李雅普诺夫函数方法和线性矩阵不等式方法，给出了广义网络控制系统指数稳定的充分条件。
Then, by Lyapunov function and linear matrix inequality(LMI), the sufficient conditions are given to make the singular networked control system exponentially stable.
对于分段线性系统稳定性分析以及控制器的优化设计问题，本文给出了一种基于分段二次李雅普·诺夫函数的求解方法。
Based on a piecewise quadratic Lyapunov function, this paper presented a stability analysis and optimal controller design method for piecewise linear systems.
用李雅普·诺夫候选函数方法，得出了在该控制律作用下的闭环系统在原点具有全局一致渐近稳定性的结论。
By Lyapunov candidate function method, this paper concludes that the closed-loop system is globally uniformly asymptotically stable at origin.
本文利用M-矩阵理论，应用微分不等式以及拓扑学等有关知识，通过构建向量李雅普诺夫函数，研究了三类时间滞后大系统的指数稳定性以及智能交通系统中车辆纵向跟随控制问题。
The global exponential stability of a class of linear interconnected large scale systems with time delays was analyzed based on M matrix theory and by constructing a vector Lyapunov function.
本文利用M-矩阵理论，应用微分不等式以及拓扑学等有关知识，通过构建向量李雅普诺夫函数，研究了三类时间滞后大系统的指数稳定性以及智能交通系统中车辆纵向跟随控制问题。
The global exponential stability of a class of linear interconnected large scale systems with time delays was analyzed based on M matrix theory and by constructing a vector Lyapunov function.
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