By Lyapunov method, the tracking error asymptotically converges to zero.
通过理论分析，证明了跟踪误差收敛到零。
The stability and robustness of the entire system is proved by Lyapunov method.
用李亚普诺夫方法证明了整个系统的稳定性和鲁棒性。
Transverse vibration control of an axially moving string system by Lyapunov method;
综述轴向运动弦线纵向振动及其控制问题的研究进展。
The state estimation error is proved to asymptotically approach zero with the Lyapunov method.
基于李亚普诺夫方法，证明了状态估计误差渐近稳定且渐近收敛到零。
Lyapunov function is established by using energy integral method.
应用能量积分法建造了一个李亚普诺夫函数。
Applying Lyapunov direct method, a design method of continuous robust controller is proposed based on the upper bounds of the uncertainties.
应用李亚普诺夫直接法，提出了一种基于不确定项上界的连续型鲁棒控制器设计方法。
After Lyapunov function is DE - rived, with theoretical analysis, energy-based control design method is discussed in order to solve the global stability problem.
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。
The practical stability in terms of two measures of impulsive differential systems and its perturbed systems is developed by Lyapunov direct method.
运用李雅普·诺夫直接方法研究了脉冲微分系统及其摄动系统关于两个测度的实际稳定性。
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。
By using mechanical analysis, the dynamic equation of the system was established, the Lyapunov direct method was applied to obtain stability conditions of system equilibrium points.
通过力学分析，建立了离心调速器系统的动力学方程，应用李雅普·诺夫直接方法得到该系统稳定平衡点的条件。
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。
A new design scheme of adaptive fuzzy controller is proposed based on the model reference adaptive fuzzy control (MRAFC) and Lyapunov s second method.
基于模型参考自适应模糊控制和李亚普诺夫第二方法，提出了一种自适应模糊控制器设计的新方案。
On the basis of the trajectory on the phase plane and Lyapunov' s direct method, switching line is introduced for controlling static compensator under large disturbance.
根据相迹方程和李亚普诺夫直接法提出了在大扰动下控制静止补偿器的开关线。
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.
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。
A new design method of tracking controller and observer by using Lyapunov stability theory for the bilinear d.
针对双线性直流电动机跟踪控制系统提出了一种设计方法。
Based on a piecewise quadratic Lyapunov function, this paper presented a stability analysis and optimal controller design method for piecewise linear systems.
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。
By Lyapunov candidate function method, this paper concludes that the closed-loop system is globally uniformly asymptotically stable at origin.
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。
Properly processed, robust criteria can be obtained by using Lyapunov function method.
通过适当的处理，应用李雅普诺夫函数法，得到了鲁棒稳定性的判别准则。
It is showed by the Lyapunov stability theorem that the tracking errors converge exponentially. The simulation results illustrate the efficiency of this method.
通过李亚普诺夫稳定理论证明跟踪误差是指数收敛的，仿真结果验证了这种方法的有效性。
A linear state feedback controller for a class of discrete-time uncertain systems with multi-inputs is presented. The controller is designed based on the second method of Lyapunov.
本文针对一类离散时间不确定多输入系统，采用李雅普·诺夫第二方法设计了一种鲁棒的线性状态反馈控制器。
By using Lyapunov functional method and linear matrix inequality (LMI) approach, the absolute stability of a general neutral type of Lurie indirect control systems was studied.
基于线性矩阵不等式(LMI)的方法，将故障检测问题转化为系统鲁棒稳定性的分析问题。
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。
By using the auxiliary system method, a sufficient condition for GS is derived based on the Lyapunov stability theory. At last, numerical examples are presented which fit the theoretical analysis.
通过使用辅助系统方法，我们给出了基于李雅普·诺夫稳定性理论的广义同步定理。最后，用数值例子来验证定理的有效性。
This article makes use of variable gradient method and structure Lyapunov Function to solve a kind of global asymptotic stability for solutions of non-linear system of the second order.
用变量梯度法构造李雅普·诺夫函数，解决一类二阶非线性系统解的全局渐近稳定性问题。
The results show that both periodic and transitional chaotic sequences have positive maximum Lyapunov exponent, and the small data sets method is robust to the finite word length of the computer.
通过数值计算结果表明：有限字长混沌序列的周期态和过渡态都具有正的最大Lyapunov指数，且小数据量法对有限字长效应是鲁棒的。
The Control for chaotic synchronization is directly designed based on lyapunov's direct method by choosing a positive definite lyapunov function.
选择一正定的李亚普诺夫函数，基于李亚普诺夫直接法求出混沌同步的控制量。
Based on a stochastic Lyapunov function method, sufficient conditions which ensure the robust asymptotic stability in the mean square are obtained.
通过构造随机lyapunov函数，得到了NCS在均方意义下鲁棒渐近稳定的充分条件。
Based on a stochastic Lyapunov function method, sufficient conditions which ensure the robust asymptotic stability in the mean square are obtained.
通过构造随机lyapunov函数，得到了NCS在均方意义下鲁棒渐近稳定的充分条件。
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