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In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

An obvious appproach to study the properties of Toeplitz matrix is to approximate them by sequences asymptotically equivalent of circulant matrices and then applying the results developed thus far.

在研究Toeplitz矩阵的性质时用循环矩阵来渐进等价或近似能得到很好的结果，这样有关循环矩阵和渐进等价等结论能够运用到Toeplitz矩阵的讨论中。

A torsional oscillation observer based on the general observer was discussed to estimate the speed of the turbine generator. The dynamic characteristics of standard Luenberger observer with quantization effects were studied by Lyapunov stability criterion. It is concluded that the state estimate error can not asymptotically converge to zero in-the-large in presence of quantization effects.

讨论了基于状态观测器的汽轮机轴系扭振测量方法，采用李亚普诺夫稳定性判据分析存在量化效应的条件下标准龙贝格观测器的动态特性，指出由于数字系统中的有限字长效应会使观测器的跟踪性能恶化，估计误差不能在大范围内渐进收敛。

Strongly consistency and asymptotically unbiasedness of new estimators are proved by means of integrating finite increment with infinitesimal one.

数值实验结果表明估计量的相对误差和无偏性检验值都比较小，新算法能够很好地估计M/G/1排队系统的性能梯度。

Using the asymptotically compact theory of Anselone' and Stepleman' theorem, the existence, the unicity , the convergence and the error estimate with O(h3) of the discrete equations are shown....

并借助Anselone的渐近紧收敛理论和Stepleman定理，证明了离散方程组的解存在性、唯一性、收敛性和精度阶O(h~3)。使用Ostrowski的不动点定理，提供了三阶收敛的迭代法。

Are uniformly bounded. By Lyapunov method, the tracking error is proved to be asymptotically converging to zero.

通过理论分析，证明了跟踪误差收敛到零。

That is to say that, the original signal of the closedloop system asymptotically converges to zero, while all the other signal of the closedloop system are uniformly bounded.

即闭环系统的原始状态是渐近收敛于零的，而其他所有的信号是一致有界稳定的。

The objective of Chapter 2 is to give the weak convergence theorem of S ={T1 :t E G of asymptotically nonexpansive mappings in a uniformly convex Banach space without assuming that X has a Frechet differentiable norm.

本文第二章在G仅要求是一个定向网，X为不具有范数Frechet可微条件的一致凸Banach空间的情况下，给出了一族渐近非扩张映射的弱收敛定理。

Since the roots of the characteristic equation of the digital control system must stay inside the unit circle =1 in the z-plane for the overall system to be asymptotically stable,we see that the second-order digital control system can be unstable for large values of T.

由于基层的特征方程的数字控制系统必须留在单位内循环= 1中的Z -飞机的整体系统是渐近稳定的，我们看到，二阶数字控制系统可为大型值不稳定普通应用评委的稳定性试验的特征方程的均衡器。

For the model with exponent input, the endemic equilibrium is locally asymptotically stable when the period of latency is small enough; the endemic equilibrium is unstable when the period of latency is large enough.

对于带有指数输入的情形，发现地方病平衡点当潜伏期充分小时是局部渐近稳定的，当潜伏期充分大时是不稳定的。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。