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.
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.
本文主要介绍线性定常系统的时域稳定性分析、频域稳定性分析和李雅普诺夫稳定性分析时MATLAB函数的应用。
This article mainly introduce the applications of MATLAB - function in time - domain, s - domain and Lyapunov stability analysis of linear constant system.
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。
The practical stability in terms of two measures of impulsive differential systems and its perturbed systems is developed by Lyapunov direct method.
利用人工势能场的机器人导航控制技术由模糊控制实现，系统的稳定性由李雅普·诺夫原理保证。
The navigation technique of robot control using artificial potential fields is based on fuzzy logic and stability is guaranteed by Lyapunov theory.
利用李雅普·诺夫函数研究常系数线性中立型时滞大系统的零解稳定性。
Zero solution stability of the neutral time delay system of constant coefficient linearity is studied by employing liapunov function.
并利用李雅普·诺夫理论对由反馈线性化和滑模观测器构成的非线性闭环系统的稳定性进行了证明。
Furthermore, the stability of the speed-tracking control closed loop system constituted of feedback linearization control and sliding mode observer is analyzed using Lyapunov stability theory.
根据导弹与目标之间的相对运动方程，应用李雅普·诺夫稳定性理论设计一种新的导弹航向平面导引律。
According to the dynamic equation of relative motion between the missile and the target, Lyapunov stability theory is used to design a new yaw plane guidance law for missiles.
本文在李雅普·诺夫稳定性意义下，提出了一种辨识模糊关系模型的学习算法。
A learning algorithm based on Lyapunov stability is derived to fuzzy relational model identification in this paper.
电力系统稳定性问题的求解，迄今主要有两种方法：逐步积分的数值解法和利用李雅普·诺夫直接法理论的求解法。
There are mainly two kinds of method to solve the stability issue of electric power sys-tem thus far, one is step by step integral method, the other is directive method based on Liyapunov theory.
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。
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.
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.
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.
最后利用李雅普·诺夫函数从理论上分析了两种改进算法的稳定性条件。
Finally, using Lyapunov function theoretical analyze the stability conditions of two improved SPO.
根据李雅普·诺夫稳定性理论，文中证明了这种分散自适应控制系统全局稳定的充分条件。
Based on Lyapunov stability theory, the sufficient condition for the global stability of the decentralized adaptive control system is proved.
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。
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.
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。
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.
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.
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.
运用比较原理和导数不连续的李雅普诺夫函数，结合分解集结等方法，研究具有滞后的测度型线性时变脉冲扰动大系统的全局指数稳定性。
The stability of time-delay and time-varying large scale systems with impulsive effect is investigated by means of the comparison principle and vector Lyapunov function with discontinuous derivative.
利用向量李雅普诺夫函数法结合比较原理研究线性定常大系统的稳定性。
Stability of time-1nvariant linear large-scale systems is studied by vector Lyapunov's function method and comparison principle.
利用广义李雅普·诺夫方法，研究了广义非线性离散系统，给出了广义非线性离散系统稳定性定理和不稳定性定理。
The method of singular Lyapunov's function is employed to study the singular nonlinear discrete systems, the theorem of stability and the theorem of no stability on it are given.
通过引入积分型变结构切换函数及高增益误差观测器，基于李雅普·诺夫稳定性理论，证明了闭环系统是全局稳定的，输出跟踪误差都收敛到零。
By introducing integral variable structure and high gain observer, the closed-loop control systems is shown to be globally stable in terms of Lyapunov theory, with tracking error converging to zero.
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.
整个系统的全局稳定性和跟随误差的收敛性采用李雅普·诺夫稳定性理论进行了证明，并得到了一种新颖的神经网络权值调整算法。
The whole system stability and tracking error convergence are proved by Lyapunov stability theory which yields a novel neural network weight tuning algorithm.
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。
Properly processed, robust criteria can be obtained by using Lyapunov function method.
利用M矩阵理论，通过构造适当的向量李雅普诺夫函数，研究一类具有时变时间滞后的线性关联大系统的全局指数稳定性。
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.
利用李雅普诺夫函数和微分不等式探讨带扩散Schoner模型的概周期解的稳定性问题。
The almost periodic solution of non-autonomous diffusion Schoner models is discussed through Liapunov function and differential inequalities.
利用李雅普诺夫函数和微分不等式探讨带扩散Schoner模型的概周期解的稳定性问题。
The almost periodic solution of non-autonomous diffusion Schoner models is discussed through Liapunov function and differential inequalities.
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