比较原理与李亚普诺夫方法；7结束语。
应用能量积分法建造了一个李亚普诺夫函数。
Lyapunov function is established by using energy integral method.
应用李亚普诺夫理论证明了该方法的稳定性。
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.
用李亚普诺夫方法证明了整个系统的稳定性和鲁棒性。
The stability and robustness of the entire system is proved by Lyapunov method.
通过求解里雅普诺夫方程直接得出有关重要参数的方差值。
The variance of related important parameter is acquired by solving liapnov equation.
定义了李亚普诺夫函数，根据其稳定性理论确定了速度自适应律。
The speed adaptive scheme of speed estimation is obtain utilizing Lyapunov's stability theory.
结果表明：该分析定理与线性系统的李雅普诺夫稳定性定理是一致的。
The results show that the stability analysis theorem is consistent with the Liapunov stability theorem for linear systems.
利用李亚普诺夫函数分析了误差系统的稳定性，说明误差是指数收敛的。
The stability of the error system is analyzed by a Lyapunov function, which shows that the errors are exponential convergent.
基于李亚普诺夫方程的状态反馈增益算法是极点配置算法中比较常见的一种。
Lyapunov Equation based algorithm for calculating state feedback gain is a comparatively normal algorithm used in pole assignment.
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。
The Control for chaotic synchronization is directly designed based on lyapunov's direct method by choosing a positive definite lyapunov function.
本文提出一种新的广义李亚普诺夫方程，用于判定离散时间奇异系统的稳定性。
This paper puts forward a kind of new generalized Lyapunuv equation, which is used to study the stability of discrete singular system.
本文应用李亚普诺夫稳定性理论的直接方法，讨论了弹性支承上的压杆稳定问题。
In this paper, stability problem of beams supported on elastic foundation is discussed by means of Liapunov's direct method.
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。
On the stability analysis of large-scale systems by Lyapunov functions, it is necessary to determine the stability of vector comparison equations.
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。
Applying Lyapunov direct method, a design method of continuous robust controller is proposed based on the upper bounds of the uncertainties.
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.
多年来众多的学者提出多种不同的广义李亚普诺夫方程，用来研究奇异系统的稳定性。
For many years, numerous scholars have proposed many kinds of generalized Lyapunuv equation to study stability of singular system.
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。
Multiple Lyapunov functions method is introduced to design the switching law between controllers, the system is asymptotically stable under the switching law.
利用李雅普诺夫渐近稳定性定理，很方便地实现了洛沦滋和类洛沦滋系统的混沌自同步。
Using the theory of Lyapunov asymptotic stability, the chaos self synchronization of Lorenz system and analogy Lorenz system are easily realized.
根据李亚普诺夫直接方法，给出了一种基于参考模型的非线性系统反馈线性化的简便方法。
On the basis of Lyapunov's method, a simple direct global linearization method based on the reference model is presented.
在李雅普诺夫稳定性准则的基础上导出了求解结构非线性动力稳定性分析的数学-力学模型。
This paper presents a mathematical and mechanic model for non-linear dynamicstability analysis of structures on the basis of Liapunov's stability criteria.
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。
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.
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.
由于它的线性子系统的条件李雅普诺夫指数均为负，因而是可同步子系统，能够用于混沌保密通信。
Since the conditional Lyapunov exponents of its linear subsystem are all negative, the linear subsystem is synchronizable and the new chaos generator can be used for chaotic communication.
根据由李亚普诺夫定理导出的综合阻尼系数的原理，统一定义了同步发电机的动态阻尼力矩系数和动态同步力矩系数。
A unified definition for damping torque coefficient of synchronous machines is proposed in this paper according to the principle of synthetic damping coefficients deduced from the Lyapunov Theorem.
该控制器对系统各通道进行分散式控制，利用李亚普诺夫函数的确定过程求解各自适应参数表达式，以保证了系统的稳定性。
The decentralized adaptive controller is designed and the adaptive parameters are decided by the Lyapunov function in order to assure the system is stable.
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.
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.
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