查询词典 stochastic

This paper is mainly the dynamic input-output model that the time lag is one, which is base on the above models. After studying, we consider stochastic factor step by step in it, namely when consumption coefficient matrix is stochastic (when investment matrix is stochastic, it is almost same. So we dont research it), and they are both stochastic, then we research the stable increase solution. We utilize the means of the modern stochastic analysis and Markov process, that the stochastic dynamic input-output model don not exist the stable solution is proved. Namely, economic system must is adjusted constantly. The probability that the collapse time of the economic system is o is one.

本文对在上述基础上构造的一类时滞为1的动态投入产出模型，进行了深入研究，将随机因素逐步考虑进去，即对投入产出消耗系数矩阵为随机的情况(投资系数矩阵为随机的情况与投入产出消耗系数矩阵为随机的情况大致相同，这里就不再证明)，以及二者同时为随机矩阵时所得到的动态投入产出模型的稳定增长解问题，利用现代概率分析及马氏过程的工具，证明了不存在随机动态投入产出模型的稳定增长解；即投入产出模型反映的经济系统必须经常进行调整，其崩溃时间为无穷大的概率为零。

By employing the local Lipschitz condition and Picard sequence, the local existence-uniqueness of solutions of stochastic functional differential equations of Ito-type is firstly obtained. Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition. Finally, by establishing some delay differential inequalities and using properties of H_m-functions, a stochastic version of Wintner theorem and the global existence-uniqueness of solutions of stochastic functional differential equations of Ito-type are given. The results generalize the earlier publications.

首先，利用局部Lipschitz条件和Picard序列，获得了伊藤随机泛函微分方程解的局部存在唯一性；其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；最后，通过建立一些时滞微分不等式和利用H_m-函数的特性，得到了Wintner定理的随机版本和伊藤随机泛函微分方程解的全局存在唯一性，推广了已有的一些结果。

Quasi Hamiltonian system; nonlinear stochastic optimal control; robustness; robust control; parametric uncertainty; uncertain disturbance; Bouc-Wen hysteretic system; Preisach hysteretic system; minimax optimal control; stochastic stabilization; stochastic averaging method; stochastic dynamical programming principle; stochastic differential game; maximal Lyapunov exponent

国家自然科学基金；拟Hamilton系统；非线性随机最优控制；鲁棒性；鲁棒控制；参数不确定性；不确定扰动； Bouc-Wen滞迟系统； Preisach滞迟系统；极小极大最优控制；随机稳定化；随机平均法；随机动态规划原理；随机微分对策；最大Lyapunov指数

According to the statistic analysis of Prof. Amari on static recognition with neural networks, and introducing the concept of vector position stochastic variable of vector stochastic sequence, the stochastic variable is processed by DRNN. The relationship between input and output variance is analyzed. The stochastic analysis of dynamic identification is given, so as to explain the DRNN characteristics in recognition process.

第二，根据Amari教授对神经网络静态识别时的统计分析，引入矢量随机序列的矢量位置随机变量的概念，以该随机变量经过DRNN处理后，分析其输入与输出方差之间的关系，试给出了DRNN做动态识别时的统计分析，以从理论上说明DRNN在识别过程中的特性。

According to the Logistic Equation and the impact of stochastic factors, a stochastic nonlinear dynamical model had been presenred. The max Lyapunov exponent was calculated by Oseledec multiplicative ergodic theory, the local stability conditions had been obtained; the global stability conditions had also been obtained by judging the modality of the singular boundary; the stochastic Hopf bifurcation was analyzed using the invariant measure of stable probability density, and the condition of stochastic Hopf bifurcation had been discussed. The key parameter impacting the urban domestic water consumption had been found by numerical emulation.

根据Logistic阻滞增长模型原理，考虑到诸多随机因素的影响，本文建立了一个城市生活用水量的随机非线性模型，运用Oseledec乘性遍历定理计算了模型的最大Lyapunov指数，得到了局部稳定性的条件；通过对扩散边界性态的分析，得到了全局稳定性的条件；通过分析系统平稳状态概率密度的不变测度，得到了模型随机Hopf分岔的条件，结合实际进行了数值仿真，得到了影响用水量的关键参数。

Aim at the efficiency and precision of the stochastic FEM, two kind of new stochastic FEM are put forward and the correlative theories and methods are established: 1 The stochastic FEM based on Gauss integral method Establish the method of Stochastic FEM based on the Legendre integration.

本论文针对如何提高非线性结构随机有限元计算精度和效率，提出了两种新的随机有限元法，建立了相应的理论和方法，具体如下： 1、Gauss类积分随机有限元方法建立了基于Legendre积分的随机有限元方法。

Aim at the efficiency and precision of the stochastic FEM, two kind of new stochastic FEM are put forward and the correlative theories and methods are established:1 The stochastic FEM based on Gauss integral methodEstablish the method of Stochastic FEM based on the Legendre integration.

本论文针对如何提高非线性结构随机有限元计算精度和效率，提出了两种新的随机有限元法，建立了相应的理论和方法，具体如下： 1、Gauss类积分随机有限元方法建立了基于Legendre积分的随机有限元方法。

Firstly, an empirical approximation model of stochastic programming is obtained by replacing the probability measure of original program with empirical probability measure. Sequentially, the constrained stochastic programming is transformed into an equivalent unconstrained stochastic programming. Finally, using the epi-convergence theory, the almost everywhere upper semiconvergence of optimal solution set of empirical approximations for stochastic programming is obtained.

首先通过经验概率测度替代初始规划的概率测度得到随机规划的经验逼近模型，然后将带有约束的随机规划问题转化成与其等价的无约束的随机规划问题，最后利用上图收敛性理论，给出了随机规划经验逼近最优解集的几乎处处上半收敛性。

First, the stochastic dominance rules of the stochastic decision problems corresponding to the case with continuous decision variates and the case with partial information are studied, and an interactive procedure based on stochastic dominance rule is proposed for stochastic decision problems.

根据这类问题包含不确定性因素的特点，本文从随机资源分配问题的建模和求解一般随机优化模型的随机优势、随机规划方法两方面着手进行了研究，并研究了区域规划中的资源分配实例。

The results show that the period-adding bifurcation obeys the deterministic mechanism decribed by Chay model and lightly affected by stochastic factors. In the corresponding parameter region, the integer multiple spiking generates only when the stochastic factors are introduced to the model. The phenomenon is autonomous stochastic resonance.

从模拟实验结果的角度看，加周期分叉过程遵从Chay模型决定的确定性机制，随机因素对其有影响但影响较小；而在相应的参数区间，整数倍节律则是在随机因素驱动下产生，是随机共振现象，是由确定性机制和随机因素共同作用的结果。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。