并得到方程的正平衡点是全局渐近稳定的。
And, the global asymptotical stability of positive equilibrium point of the equation is obtained.
在适当的假设下，得到了系统的半全局渐近稳定。
Under some additional assumptions, the whole system is semi-global asymptotically stable (Semi-GAS).
研究了带时变时滞的递归神经网络的全局渐近稳定性。
The problem of the globally asymptotical stability of recurrent neural networks with time varying delay is investigated.
提出了一种新的分析非线性电路平衡点全局渐近稳定的方法。
A new method is introduced to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit.
给出了一类变系数差分系统的全局渐近稳定的一些充分条件。
To one kind of difference system with variable coefficients, some sufficient conditions for global asymptotic stability of trivial solution are given.
分析了系统的非负不变性、边界平衡点性质及全局渐近稳定性。
Mathematical analyses of the model equations with regard to invariance of non-negativity, nature of equilibria and global stability are analyzed.
在适当条件下，证明了平衡解方程有唯一解且是全局渐近稳定的。
Moreover, for some Special cases, it is proved that there exists unique equilibrium solution and it is global asymptotically stable.
通过适当选择控制器参数，可以保证闭环系统是全局渐近稳定的。
By the proper choice of the controller parameters, the global stability of closed-loop system is guaranteed.
本文讨论了几个特殊的二维驻定方程组解的全局渐近稳定性问题。
In this paper, the problem about asymptotic stability in the large of the solution of several particular two-dimensional autonomous systems is discussed.
最后在零动态稳定的假设下，实现了整个系统的半全局渐近稳定。
Under the assumption of stable zero dynamics, the whole system is semi-global asymptotically stable (Semi-GAS).
特别地，当传染率为双线性时，无病平衡态及地方病平衡态全局渐近稳定。
Specially, if the infective rate is bilinear, both of the equilibria are globally asymptotically stable.
研究了一个四阶有理差分方程，证明了该方程的正平衡点是全局渐近稳定的。
The paper is regarding a fourth-order rational difference equation, proving that the positive equilibrium point of the equation is globally asymptotically stable.
应用类比法，给出了一类五阶非线性微分方程零解的全局渐近稳定的充分条件。
In this paper, analogy method is used to discuss the global, asymptotical and stable zero solution of non-linear five-order differential equation.
无限区间上s -分布时滞广义递归神经网络模型概周期解的全局渐近稳定性。
Global asymptotic stability of general recurrent neural network models with S-type distributed delays on infinite intervals.
利用向量比较原理，得到了确定非线性电路平衡点全局渐近稳定的充分必要条件。
The sufficient and necessary conditions for the global asymptotic stability of the equilibrium point of the nonlinear circuits are obtained by vector comparison method.
本文提出了一个简单的关于控制增益的条件，保证了闭环系统的全局渐近稳定性。
We give a simple sufficient condition on control gain that guarantees globally asymptotical stability of closed loop system.
第四章研究了一类具有反应扩散项的分布时滞模糊bam神经网络的全局渐近稳定性。
Chapter 4 introduces global asymptotic stability of a class of fuzzy BAM neural networks with distributed delays and reaction-diffusion terms.
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.
通过构造函数及根据不变集原理证明了无病平衡点和地方病平衡点的全局渐近稳定性；
Then the disease-free equilibrium point and endemic equilibrium point were proved with global asymptotic stability by constructing functions and basing on the invariant set principle.
同时给出了在模型失配情况下保证闭环系统全局渐近稳定的预报长度范围和模型失配上限值。
Under model plant mismatch the robustly asymptotic stability and global convergence of the resulting closed loop system are guaranteed by selecting proper prediction horizon.
对差分方程的研究就是讨论它的解的最终性态，包括振动性、循环长度及全局渐近稳定性等。
The investigation on difference equation is to discuss its eventually behavior of the solutions, including oscillation, cycle length and global asymptotic stability, etc.
从理论上证明了它可保证闭环系统的全局渐近稳定和收敛，并定量给出了预测水平的选择范围。
It is proved that globally asymptotical stability and convergence of the resulting closed-loop system are guaranteed by the range of the prediction horizon.
讨论了一类具反馈控制的两种群竞争模型，获得了其存在唯一，全局渐近稳定周期解的充分条件。
A two species competitive system with feedback controls is considered. Sufficient conditions are derived that guarantee the persistence of the system.
给出了设计模糊状态反馈控制器，保证闭环系统全局渐近稳定、具有一定衰减率稳定的两个充分条件；
The sufficient conditions of asymptotic stability and stability with decay rate for the closed loop systems via fuzzy state feedback controller are presented.
运用建立辅助方程的方法研究一类非线性有理差分方程正平衡点的全局渐近稳定性，得到一个充分条件。
Global asymptotic stability of a class of nonlinear rational difference equations was studied by means of setting up an auxiliary equation, so that a sufficient condition was obtained.
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.
它们具有全局渐近稳定性，且通过配置估值器的极点可按指数衰减速率使初始状态估值的影响快速消失。
They have globally asymptotic stability, and can forget the effect of the initial state estimates at an exponentially decaying rate by assigning the poles of the estimators.
主要结论：当且仅当基本再生数小于等于时，系统存在唯一无病平衡点，且无病平衡点是全局渐近稳定。
The main conclusion drawn from this study is that: if and only if the basic productive number , the only disease-free equilibrium exists in the system and it is of global asymptotic stability.
高增益参数选择适当使零的解决方案，闭环系统全局渐近稳定的概率，并调节输出的起源几乎可以肯定。
The high-gain parameter is appropriately chosen to make the zero solution of the closed-loop system globally asymptotically stable in probability, and regulate the output to the origin almost surely.
这种方法以矩阵分解为工具，结合平衡点的渐近稳定判据，用分解矩阵的稳定性决定平衡点的全局渐近稳定性。
This method takes the matrix resolving as a tool, combined with criterion of progressive stability and determines the equilibrium point by stability of matrix resolving.
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