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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
混沌的存在是由李雅普·诺夫指数的计算和分析所确定。
The existence of the chaos is confirmed by calculation and analysis of its Lyapunov exponents.
探讨弱李雅普·诺夫函数在镇定设计中的作用。
The function of weak Lyapunov functions in stabilization design is studied.
利用李雅普·诺夫泛函研究中立型泛函微分方程的概周期解的存在性，其中李雅普·诺夫泛函不是正定的。
We investigate the existence of almost periodic solutions of functional differential equations of neutral type by Liapunov functional which is not positive definite.
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.
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。
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.
最后，我们又证得了几族李雅普·诺夫泛函的存在性。
Finally, we prove the existence of several families of Lyapunov functionals.
通过改变系统李雅普·诺夫指数对工业过程控制中的混沌现象进行控制，并提出了一种确定控制区域的方法。
In this paper, we propose an approach to chaotic systems control by changing the Lyapunov exponents of the system, and then propose a way to decide the control region.
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·诺夫方法和矩阵范数性质研究了具有饱和输入的非线性组合系统区域分散控制问题。
Decentralized control of region for nonlinear composite systems with input saturation is studied by using Lyapunov's theory and matrix norm properties.
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.
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.
方法利用庞加莱截面、李雅普·诺夫指数、关联维等工具分别对抛物方程和椭圆方程的非线性动力学行为进行描述。
Methods Nonlinear dynamical behavior of both parabolic equation and elliptic equation were investigated by several tools such as Poincare section, Lyapunov exponent, and correlation dimension.
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。
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。
Using multiple Lyapunov functions, a sufficient condition is derived to ensure that the switched nonlinear systems are uniformly bounded and uniformly ultimate bounded.
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