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At the same time, the variational stability of bounded variation solutions at the effect of perturbation and non-perturbation for the impulsive differential system are discussed, the Ljapunov type theorems for variational stability and asymptotically variational stability for impulsive differential systems are established.

同时，讨论了在无扰动和有扰动的情况下，这类固定时刻脉冲微分方程有界变差解的变筹稳定性，建立了此类微分系统有界变差解变差稳定性和渐近变界稳定性的两个Ljapunov型定理。

Based on the central limit theorem, we can show that OLS estimators are asymptotically normal

基于中心极限定理，我们能够证明OLS估计量是渐近正态。

In Part two, it is proved that, the evolution strategy of uniform distribution for continuous functions, asymptotically converges to the global optimal solutions in probability, by using central limit theorem, under suitable conditions. Then a new kind of evolution strategies is proposed.

第二部分，针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的进化策略是依概率收敛的，然后给出了采用一般连续型随机变量作为变异算子的进化策略依概率收敛的证明。

The central limit theorem states that the standardized average of any population with mean m and variance s2 is asymptotically ~N(0,1), or

的总体的标准化平均值的分布渐近趋向于N0，1

To prove that OLS estimators are asymptotically efficient, one needs to (1) present an estimator that is consistent but its variance is larger.

为了证明OLS估计量是渐近有效的，我们需要(1)给出一致的估计量但证明它有更大的方差。

And its convergence property, asymptotically converges in probability, is proved. Numerical results on some typical optimization problems show that the algorithm proposed is efficient.

数值结果表明，对于维数较高的连续函数优化问题，采用基于均匀分布的进化策略能够快速有效地收敛到全局极小点。

In this paper we present a converse Lyapunov theorem for globally uniform asymptotically controllably switched systems.And we consider general nonlinear switched systems.

本文对一类全局一致渐进能控的非线性切换系统的控制Lyapunov函数的存在性进行了研究，证明了一个非线性切换控制系统如果是一致全局渐进能控的，那么存在一个公共的控制Lyapunov函数。

If the topology is fixed and time-invariant, the consensus value of discrete-time systems also globally asymptotically converges to the convex combination of initial states, which is identical to continuous systems.

如果多智能体网络系统的拓扑结构没有改变，在离散状态下系统的一致平衡点仍收敛于初始状态的凸组合，并且离散状态下系统的一致平衡点与连续状态下系统的一致平衡点相等。

Based on convex combination technique, reliable controllers and a switching law are designed to make systems be globally asymptotically stable not only when all actuators are operational, but also when some actuators faults occur. At last, the simulation results show the feasibility and validity of the designed method.

利用凸组合技术，设计可靠控制器和相应的切换策略，使得不仅当执行器正常时而且当一些执行器出现故障时仍保证闭环系统是全局渐近稳定的，最后通过仿真算例验证所设计方法的可行性、有效性。

Second, we prove that consensus value of continuous time-invariant systems converges globally asymptotically to the convex combination of initial states, thus, determining the consensus value of the non-balanced topology.

对于多智能体网络连续系统，该系统的一致平衡点最终收敛于初始状态的凸组合，本文最终确定了非平衡拓扑结构的一致平衡点。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。