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.
根据定理4.3的推论，原点是渐近稳定的。
By the corollary to Theorem 4.3, the origin is asymptotically stable.
最后，提出并证明了原系统渐近稳定的充分条件。
Finally, a sufficient asymptotic stability condition of the original system was proposed.
在一定的假设下，我们证明其驻波解是渐近稳定的。
It is proved that the stationary wave is asymptotically stable under some assumptions.
得到一个关于脉冲微分方程弱指数渐近稳定的判定定理。
The sufficient conditions of the weak exponential asymptotic stability of impulsive differential system are obtained.
最后利用引理的结论得出了该网络全局一致渐近稳定的结论。
In the end, the conclusion of global consistent asymptotic stability for the network is drawn from the lemma.
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.
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.
证明当分布时滞的核函数取弱核形式时，平衡点是绝对渐近稳定的。
When the kernel function of the distributed delay takes the form weak kernel, the positive equilibrium is Absolutely 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.
首先，考虑了振幅有界的外部干扰，得到了保证系统原点渐近稳定的充分条件。
First, amplitude bounded exogenous disturbance is considered and sufficient conditions that ensure the asymptotical stability of the origin of the systems is derived.
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.
观测器与控制律的结合实现了无速度测量的控制，闭环系统被证明是渐近稳定的。
Combining the observer and the control law leads to control without velocity measurements. The close loop system is proved to be asymptotically stable.
基于稳定性的频域分析技术，研究了线性中立型时滞系统渐近稳定的充分性条件。
Based on the frequency-domain techniques to analyze the stability of a system, this paper deals with the sufficient conditions of the asymptotic stability of linear neutral delay systems.
基于稳定性的频域分析技术，研究了线性中立型时滞系统渐近稳定的充分性条件。
This paper is concerned with Robust stabilization problem for linear neutral delay systems subject to parameter uncertainty.
主要结果是，如果一非线性系统的零动态是逼近渐近稳定的，则能用动态输出反馈镇定。
The main result is that a discrete time minimum phase nonlinear system is stabilizable via dynamic output feedback if its zero dynamics is approximately asymptotically stable.
在广义延迟系统渐近稳定的前提下，分析了用块方法求解广义延迟系统数值解的稳定性。
On the basis of the asymptotic stability of generalized delay differential equations(GDDEs), the numerical solutions of one block methods for GDDEs were analysed.
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.
通过构造随机lyapunov函数，得到了NCS在均方意义下鲁棒渐近稳定的充分条件。
Based on a stochastic Lyapunov function method, sufficient conditions which ensure the robust asymptotic stability in the mean square are obtained.
在第二节中，我们研究了树映射的渐近稳定集，得到了不动点为渐近稳定的两个充分必要条件。
In section 2, asymptotically stable sets of tree maps are studied, and two necessary and sufficient conditions for a fixed point to be asymptotically stable are obtained.
给出了一类离散滞后不确定奇异系统的鲁棒d -稳定性条件，发现渐近稳定的条件与时滞无关。
In this paper, a sufficient condition of robust D-stability for discrete-delay uncertain singular systems is presented.
同时在激励函数单调递增的条件减弱的情况下，给出了两条渐近稳定的定理，并给了严格的数学证明。
With the condition of inspirit functions increasing by degrees weakening, two new global asymptotic stable theorems and strict mathematic proof were given.
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.
本文针对一般非线性系统，在渐近稳定的条件下，得到了完全系统的周期解的存在性、唯一性及收敛性。
In this paper, we obtain the existence, uniqueness and the convergence of a periodic solution of the full system for general nonlinear systems under asymptotically stable conditions.
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.
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.
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