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This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的&良性&分布与高阶相关性(correlation of order κ)，这两类序列具有&优&的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

When a car is inadvertently overfilred and the tank becomes hydrostatically full, internal pressure can increase asymptotically from even small temperature increases or Balanced Bellows Safety Relief Valves product addition.

当一辆汽车是无意中overfilred和坦克变成静水充分，内部压力增加，即使是小规模渐进的温度升高或产品增加。伪狂犬病毒引起过多的产品驱动放电，它可以帮助防止罐车由于压壳灾难性的失败。 PRVs也有助于防止无意。。。

Firstly, a type of memoryless linear state feedback decentralized controller is presented, which ensure that the closed-loop system is asymptotically stable.

第五章研究不确定组合大系统的状态反馈和基于状态观测器的动态输出反馈鲁棒分散可靠镇定问题。

Furthermore, he proved that the iterative sequence he introduced converged strongly to fixed point of asymptotically nonexpansive nonself-mappings.

Chidume首次提出渐近非扩张非自映象、一致L-Lipschitz非自映象的定义，并证明了所引入的迭代序列强收敛于渐近非扩张非自映象的不动点。

Based on some results given by K Tan and H K Xu[1] proved, the convergence of three-step iterations of uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space had proved.

引入一致李普希兹的概念，然后在一些已有结果的基础上，证明一致凸Banach空间的紧子集上的一致李普希兹渐进非扩张映射的三步迭代序列的收敛问题。

Based on the dynamical system of a tuberculosis spread m odel, the dynamical behavior of a tuberculosis spread model with constant immigr ation was discussed, and the local and global asymptotic stability of the endemi c equilibrium on this model is studied by using Hurwitz criterion and multiple m atrix theory. Sufficient conditions for the local and global asymptotically stab ility of the endemic equilibrium on this model are obtained.

在结核病传播的数学模型的动力学系统基础上，利用 Hurwitz 判据和复合矩阵理论，讨论了具有常数移入的结核病传播的数学模型的动力学性质，研究了具有常数移入的结核病模型的地方病平衡点的局部和全局渐近稳定性，得到了具有常数移入的结核病模型的地方病平衡点是局部和全局渐近稳定的充分条件。

In the chapter 5, firstly, the robust decentralized tracking for a class of nonlinear parametrical composite systems with similarity is considered. The corresponding asymptotically stable controller is obtained.

第五章首先对一类非线性参数化的相似组合系统的鲁棒分散跟踪问题作了探讨，给出了渐近稳定控制器的设计方案。

Especially it is pointed out that a system is quadratically stable under a switching sequence if and only if the system is asymptotically stable under a periodic switching sequence.

特别指出，一个系统可经切换达到二次稳定的充要条件是该系统可经周期切换渐近稳定。

The controllers given are proved theorically that they can make error systems full states asymptotically decay to zeros and are insensitive to external disturbances and parameter uncertainties and thus it is of strong robust nature.

理论上严格证明了所给控制器能够使闭环同步误差系统全局渐近稳定于零值且不受外部干扰和系统参数不确定性的影响，具有较强的鲁棒性。

Based on the analysis the phenomenon of jet interaction, a mode of missile with jet interaction amplification factor is set up. For overcoming the disadvantages of uncertainties and unknown disturbance, the back-stepping control structure based on NDO is designed in virtue of NDO's approaching ability. The overall system guarantees that all signals involved are asymptotically stable by Lyapunov method.

针对导弹气动参数的不确定性及外界干扰对导弹控制性能的影响，利用非线性干扰观测器对干扰的逼近特性，结合反演控制设计了非线性导弹自动驾驶仪，并基于Lyapunov方法，给出了整本系统的稳定性证明。

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。