By the corollary to Theorem 4.3, the origin is asymptotically stable.
根据定理4.3的推论，原点是渐近稳定的。
The sliding mode dynamics is regular, impulse-free and asymptotically stable.
滑模运动正则、无脉冲模、渐近稳定。
It is proved that the stationary wave is asymptotically stable under some assumptions.
在一定的假设下，我们证明其驻波解是渐近稳定的。
Under some additional assumptions, the whole system is semi-global asymptotically stable (Semi-GAS).
在适当的假设下，得到了系统的半全局渐近稳定。
Specially, if the infective rate is bilinear, both of the equilibria are globally asymptotically stable.
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。
Sate feedback robust controllers are designed so that the interconnected system is asymptotically stable.
设计了状态反馈鲁棒控制器使系统渐近稳定。
Under the assumption of stable zero dynamics, the whole system is semi-global asymptotically stable (Semi-GAS).
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。
The designed system controller get over the external disturbance's effect on system and make the system asymptotically stable.
所设计的控制器，克服了扰动对系统的影响，使得系统渐近稳定。
When the control laws applied to the systems, the origin is the asymptotically stable equilibrium point of the closed-loop systems.
当该控制律作用于系统时，原点是闭环系统的渐近稳定平衡点。
Moreover, for some Special cases, it is proved that there exists unique equilibrium solution and it is global asymptotically stable.
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。
In the absence of friction and disturbances, a new class of globally asymptotically stable adaptive control strategies are proposed.
在忽略摩擦力和外部扰动情况下，设计了一大类综合的自适应控制策略，能保证系统全局的渐近稳定；
When the kernel function of the distributed delay takes the form weak kernel, the positive equilibrium is Absolutely asymptotically stable.
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。
The dynamic compensators by output feedback are constructed, which make the controlled plants be asymptotically stable in Lyapunov's sense.
分别为所论系统构造了输出反馈动态补偿器，该补偿器可以实现对所论非线性不确定系统的动态输出反馈指数的镇定。
By Lyapunov candidate function method, this paper concludes that the closed-loop system is globally uniformly asymptotically stable at origin.
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。
Combining the observer and the control law leads to control without velocity measurements. The close loop system is proved to be asymptotically stable.
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。
Multiple Lyapunov functions method is introduced to design the switching law between controllers, the system is asymptotically stable under the switching law.
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。
The paper is regarding a fourth-order rational difference equation, proving that the positive equilibrium point of the equation is 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。
Firstly, asymptotically stable value range of the switching law is obtained based on the constraint condition of matrix pencil for the linear impulsive switched system.
首先根据系统矩阵束的约束条件，得到线性脉冲切换系统渐近稳定时切换律的取值范围。
Based on the linear matrix inequality and adaptive approach, a state feedback adaptive controller is designed, which make the closed-loop system is asymptotically stable.
利用线性矩阵不等式技术和自适应参数估计方法，设计鲁棒自适应控制器，从而保证闭环系统渐近稳定。
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.
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。
The analysis of the optimal switching based on the convergence route is present from asymptotically stable convergence process the minimum angle of path of converge operation.
从渐近稳定系统收敛过程中收敛运行的路径最小的角度，给出了基于收敛路径的最优切换律的分析方法。
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.
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。
These control laws not only guarantee the system's trajectories to reach the sliding mode in finite time, but also ensure the sliding mode to be exponentially asymptotically stable.
这些控制方法不仅能保证系统状态轨迹在有限时间内到达滑动模，而且保证系统的滑动模态指数渐近稳定。
Normal dynamic compensators are designed so that the closed-loop systems consisting of the original systems and the compensators are asymptotically stable and have no impulse effect.
因而设计了易于物理实现的正常动态补偿器，使之与原系统构成的闭环系统渐近稳定且没有脉冲行为。
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.
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。
A delayed state feedback law is presented to stabilize the inertia wheel pendulum, which guarantees the closed-loop system to be globally asymptotically stable in the presence of time delays.
用一个时滞状态反馈控制律镇定惯性轮倒立摆，不仅保证闭环系统全局渐近稳定，还允许闭环系统承受一定的时滞。
Based on designing the observer, a switching strategy and sub-controller, which use the observer value, are designed to guarantee that the closed-loop system is exponentially asymptotically stable.
在所设计的观测器基础上，以系统状态的观测值为依据设计各子控制器和切换方案，使整个闭环系统是指数渐近稳定的。
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 following three species periodic predator-prey system is considered, the sufficient condition for the existence of a globally and asymptotically stable periodic solution of the system is obtained.
本文研究了一类三种群周期食饵系统，并给出了其存在平稳振荡的充分条件。
The following three species periodic predator-prey system is considered, the sufficient condition for the existence of a globally and asymptotically stable periodic solution of the system is obtained.
本文研究了一类三种群周期食饵系统，并给出了其存在平稳振荡的充分条件。
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