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.
使具有不确定扰动的陈氏混沌同步误差系统渐近镇定到平衡点，并且获得其充分条件。
Uncertain Chen's chaotic synchronization error system is asymptotically stabilized to the equilibrium point, and then sufficient conditions for robust synchronization are obtained.
证明了对该系统添加状态反馈后可控制系统正平衡点的存在性和惟一性，给出了系统在平衡点渐近稳定的条件。
It is proved that existence and uniqueness on systemic positive equilibrium dot with the state feedback. Gives the asymptotic steady condition in positive equilibrium dot of the said 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.
此外，还进一步对无源系统的渐近稳定性的时滞依赖条件作了改进。
Furthermore, the improved delay-dependent condition of the asymptotic stability for the unforced system is put forward.
在弹性梁方程满足渐近非一致非共振条件时，讨论了方程解的存在性。
This paper discusses the solvability of an elastic beam equation under asymptotic nonuniform nonresonance condition.
获得了解的整体存在惟一性，并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
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.
基于中间点的渐近性质，获得了数值积分的校正公式及其条件误差估计。
Then Based on the asymptotic properties of the intermediate point, corrective formulas of numerical integral and its conditional errors are obtained.
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.
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.
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.
摘要针对一类能够由中立型变延迟非线性微分方程描述的神经网络模型，给出了全局渐近稳定的不依赖于时间延迟的充分条件。
A sufficient condition guaranteeing the global asymptotical stability of the equilibrium point is derived for a class of neural network models with variable delay and neutral type delay.
本文在一个正则性条件下，给出了渐近最优EB估计的一个充要条件。
In this paper, we have given a sufficient and nfcessary condition for the asymptotic optimum EB estimate on ceatain regular condition.
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.
得到渐近无编、弱一致估计的苦干充分条件，它明显优于常用的周期图加窗估计法。
Under these conditions, the new method is obviously better than the cycle chart plus window estimate method in common use.
在适当的条件下证明了EB估计的渐近最优性，给出了模型的特例和推广。
The asymptotically optimality of the EB estimators are obtained under some suitable conditions, and the special cases and the generalizations of the model are shown.
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.
在适当的条件下，得出了这类问题的渐近解及其可解性条件，推广了一类近乎圆膜的振动问题所得的结果。
Under the appropriate conditions, the asymptotic solution and its existence conditions are obtained, the results for a class of quasi-circular membrane oscillation problem is extended.
在不要求最优逼近误差平方可积和上界已知的条件下，证明闭环系统全局渐近稳定，所有信号有界且跟踪误差收敛到零。
We proved the closed systems global asymptotical stable, not needing the error upper bound and the error square integral, all the signals are bounded and the tracing error convergence.
我们证明了在原假设和局部对立假设之下随机加权统计量的条件渐近分布与检验统计量在原假设之下的渐近分布相同。
It is shown that, under both the null and the local alternatives, the random weighting statistics have the same asymptotic distribution as the original test statistic under the null hypotheses.
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.
并发现对所提出的EB检验，在某些条件下，具有渐近最优性的收敛速率，能够任意接近于1。
It is discovered that convergence rate with asymptotical optimality for the proposed EB test can arbitrarily approach to 1 under certain conditions.
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.
在适当的条件下，研究了问题广义解的存在、唯一性及其渐近性态。
Under suitable conditions the existence, uniqueness and asymptotic behavior of the generalized solution for the problems are studied.
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.
利用经典大偏差的方法，在一定的条件下，得到了相应概率的对数渐近式及测度族的大偏差原理。
By traditional method of large deviations, we obtain the logarithmic asymptotic for the probabilities and large deviation principle for the corresponding measures.
针对多指手机器人抓取系统，引入了密度函数用于研究其线性及非线性系统的稳定性，得到了使抓取系统的平衡解几乎处处渐近稳定的不等式条件。
In order to study the stability of robotic multi-fingered grasping, density function is constructed, and the inequality condition of everywhere stability of grasping system is obtained.
针对多指手机器人抓取系统，引入了密度函数用于研究其线性及非线性系统的稳定性，得到了使抓取系统的平衡解几乎处处渐近稳定的不等式条件。
In order to study the stability of robotic multi-fingered grasping, density function is constructed, and the inequality condition of everywhere stability of grasping system is obtained.
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