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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
当一个生成三角波的回路同步失稳时，利用李亚普诺夫函数可以很容易证明系统实际上处于混沌态。
Using the Lyapunov exponent, writers can simply show the chaotic behavior when a circuit oscillating in triangular waveform is off synchronization.
通过构造特殊的李亚普诺夫函数，分别考虑了时滞相关和时滞无关两种情形，得到了系统鲁棒绝对稳定的充分条件。
Via the constructive Lyapunuov function, the case independent of delay and dependent of delay is investigated respectively, and the sufficient conditions of robust absolute stability are gained.
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.
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.
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.
基于随机李亚普诺夫函数的方法，并结合线性矩阵不等式，分别提出依赖于模态的状态反馈和输出反馈控制，以保证相应闭环系统的严格正实性。
Based on stochastic Lyapunov functional approach, both state and output-feedback mode-dependent controllers are proposed to guarantee the strict positive realness of the resulting closed-loop systems.
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.
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.
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.
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.
本文构造加权向量1 -范数型李雅普·诺夫函数。
Lyapunov's function with weighted vector 1-norm form is constructed.
进而，利用李雅普·诺夫函数和比较定理确定了持续生存的条件。
Conditions for permanence is established via the method of comparison involving multiple Liapunov functions.
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.
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.
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