随机的

In Chapter 4 we discuss the solvable theorem of adaptive inverse optimal control problems, and proceed with controller designs of global asymptotic stability in probability, adaptive inverse optimal stabilization in probability and output-feedback adaptive inverse optimal stabilization in probability for strict-feedback stochastic nonlinear continuous systems with additive standard Wiener noises and constant unknown parameters using It〓's differentiation rule and an adaptive backstepping algorithm. Control laws and adaptive laws can be obtained at one time by this design scheme. Many simulations have been performed to validate the properties of the proposed adaptive control scheme.

在第4章中，针对具有标准Wiener噪声扰动和未知定常参数的不确定随机非线性系统，提出并证明了自适应逆最优控制问题可解定理，构造了适当形式的四次型随机控制Lvapunov函数，基于It〓微分规则和自适应Backstepping算法，系统地设计了全局依概率渐近稳定控制器、自适应逆最优控制器、输出反馈逆最优控制器以及在设计中如何处理二阶Hessian矩阵函数的方法，这种方法可同时获得控制律和自适应律，通过实例仿真，表明该控制算法是有效性的。

And we show the form of the reduced density matrix master equation and its solution at first .Then we derive the solutions of Ohmic spectrum and Laurent series spectra master equations. Finally, we make analysis of the solutions of stochastic process and their coefficients from the cumulants, late time uncertainty function and linear entropy

首先展示了有关约化密度矩阵主方程的形式和解的形式；接着推导出欧姆谱和分洛朗级数谱这两个随机过程主方程的解；最后从累积量，延时不确定关系和线性熵等方面来研究随机过程主方程的解及其系数特点。

Here we obtain that the randomiza-tions of the element of the subspace〓of〓are the pointwisemultipliers of〓almost surely.Furthermore,the random Dirich-let type functions are studied by way of Lipschitz condition.

另外对随机Dirichlet型函数的研究借助了Lipschitz条件，结果表明〓的某子空间的元素的随机化在概率为1意义下满足q-Lipschitz条件。

In this paper authors introduce the concept of measurability of a fuzzy random function,and solve the basic theoretical problem of measurability of fuzzy random functions successfully.

本文首次引入了模糊随机函数的可测性的基本概念，并且成功地解决了模糊随机函数的可测性这一最基本的理论问题。

A strong limit theorem on gambling strategy for Bernoulli sequences is extended to the sequences of arbitrary dependent random variables which take numberable values by using the conditional moment generating function .

利用条件矩母函数将关于Bernoulli序列赌博策略的一个强极限定理推广到取可列值的任意相依随机变量序列的情况，并且通过允许选择函数在一个区间中取值，推广了随机选择的概念。

It turns out that the traffic characters of the improved NS model with partitive open boundary conditions are different from that of this model with fully open boundary conditions.

对于描述高速公路一维情况的典型的CA交通流模型，有Nagel和Schreckenberg提出了考虑车距分布的随机加速，随机减速的CA模型[7]。

Fifthly, we research the problem about the stochastic fluctuate of the contents of organic compounds and microelements in the land under the assumption continuous-time model. The first, a dynamic model about fertility of plowland is presented using stochastic diffusion processes and distributed parameter system.

在分析了农业耕地中有机物含量及微量元素含量的随机变化过程的基础上，利用扩散随机过程理论及分布参数系统建立分析模型描述耕地肥力的分布状况；研究了以维护耕地最优质量状态作为目标值的最优控制问题。

In the proposed formulation, the fluid jump arc of Second order Fluid Stochastic Petri nets, which takes deterministic jump height, is introduced for the sake of modeling impulse rewards. In order to model non-Markovian stochastic systems, the fluid jump arc is combined with the flush-out arc. As a result the fluid jump arc as a modeling primitive has the function of emptying in zero time the existing fluid from the continuous place connected with it.

为方便利用该机制建模冲量回报，引入二阶流体随机 Petri 网中的流体跳跃弧，跳跃弧的跳跃高度取确定值；为方便建模非马尔科夫随机系统，将清空弧与流体跳跃弧结合，使得流体跳跃弧作为建模原语直接具有瞬间内清空与之相联接的连续库所的功能。

A theoretical test method which can be used to evaluate whether a pseudorandom number sequence satisfies requested randomness is suggested.

譬如：原随机变量是U（0，1）的，则变换后的随机变量也是U（0，1）的，但是用一个非整数去乘却没有这样的统计性质。

In this paper we have found the main component s in a n -dimension random vector X , the so called main compon ents don′t contain linear relation and the others of X can be expressed as the linear combination of the main component s.

本文提供了在多维随机变量中寻找主成分的一种方法，证明了其余分量均可表示为主成分的线性组合，解决了多维随机变量的各个分量之间所存在的线性关系问题。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。