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.
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.
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.
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.
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.
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.
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.
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.
在本文中，构造出了一类三阶非线性系统李雅普·诺夫函数，并给出这些系统全局渐近稳定的充分条件。
Lyapunov's functions of a type of nonlinear third-order systems are constituted in this paper, and sufficient conditions assuring the global asymptotic stability of the trivial solutions are given.
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.
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.
事实上，基于李雅普·诺夫函数的稳定理论，也可从耗散性的角度加以分析。
In fact, Lyapunov stable theorems can also be expressed by dissipative theory.
事实上，基于李雅普·诺夫函数的稳定理论，也可从耗散性的角度加以分析。
In fact, Lyapunov stable theorems can also be expressed by dissipative theory.
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