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1)  regular process
正则过程
1.
This paper constructs a class of hybrid type of stochastic control model that includes regular process and singular process.
建立了一类受控包括正则过程与奇异过程的混合型随机模型;为了获得值函数(目标函数)的最大值,针对不同的参数,运用随机分析的方法,得出了其相应的最优控制策略。
2)  regular Q-processes
正则q过程
3)  Canonical equation
正则方程
1.
Then we introduce the model to the Hamilton system and obtain the Hamilton canonical equation.
首先利用Hamilton原理对耦合结构进行建模,然后利用有限元方法将空间连续模型离散化,得到有限元模型,然后将模型导入到Hamilton系统中,获得Hamilton正则方程。
2.
From the mixed variational principle of thin plates, by selection of the statevariables and its dual variables the Hamilton type generalized variational principleand the Hamilton canonical equation are deduced.
本文通过薄板问题混合能变分原理,选用状态变量及其对偶变量,导出了一般的Hamilton型广义变分原理和Hamilton正则方程,这样就突破了欧几里德空间的限制,在Hamilton力学的数学框架辛几何空间中,对全状态相变量进行分离变量,并采用共轭辛正交归一关系,给出任意支承条件下薄板问题的辛精确解。
3.
In this paper, plane stress elastic problem is taken for example, Galerkin variational equation of canonical equation of its is firstly introduced.
 首先引入了Hamilton体系中平面应力弹性力学问题正则方程的Galerkin变分方程,证 明了Galerkin变分方程和目前文献中所用的Ritz。
4)  canonical equations
正则方程
1.
The momentum via quasi--coordinate is derived according to Kane S definition so as to establish the canonical equations.
针对多刚体系统动力学数值计算精度的关键问题,首先采用Kane方程导出了二阶形式的动力学方程,并研究了其中系数矩阵的恒等关系,进而建立了多刚体系统动力学的哈密顿体系并获得正则方程。
5)  regular equation
正则方程
1.
In this paper the regular equations of AR and MA models built for multipath channels are derived,and an iterative algorithm of direct signal and multipath clutter cancellation is proposed.
文中推导了采用AR模型和MA模型对多径信道建模的正则方程,提出了采用混合模型消除直达波与杂波的迭代算法。
2.
This paper presents the Hanilton regular equation and the conclusion through the Hamilton principle,that is,the conversational law of momentum or conversational law of mechanic energy,and discusses the conditions for the Hamilton in the conservative and non-conservative systems.
本文通过哈密顿原理 ,给出了哈密顿正则方程及结论 ,即广义动量守恒 ,机械能量守恒。
3.
The regular equations on the constraint variables are established for LQ and nonlinear control problems in this paper,then the extreme-value principles of the constraint variables are discussed for the equality and unequality constraint cases respectively.
本文分别对LQ控制问题及非线性控制问题建立了约束变量的正则方程,进而讨论了等式约束和不等式约束时约束变量的极值原理,最后通过例题验证了本文所得到的结论。
6)  normal process
正态过程
1.
This paper proves the sufficient and necessary condition of existence of complex normal process is the that covariance functions have certain nonnegative definite property and symmetry,and the analytic methods are also different from the others.
通过系列分析,证明了复正态过程存在的充要条件为其协方差函数具有某种非负定性及对称性。
2.
Besides, this paper gives a sufficient and necessary condition of the existence of normal process under the strictly nonnegative definiteness condition.
此外本文还给出了严格非负定条件下实正态过程存在的一个充要条件。
3.
Let |X(t),0≤t≤T| be a standardized normal process with mean zero and unit variance (not necessarily stationary),and assume that,with probability one,| X(t),0≤t≤T |,has continuous sample functions.
设{X(t),0≤t≤T}是标准正态过程且以概率1有连续的样本函数。
补充资料:线性-正则随机过程


线性-正则随机过程
linearly-regular rancbm process

线性一正则随机过程〔玩峨川y一傀肉r.以bmP戏丈已刃;几皿e如。pe叮朋即碱c月y,曲”城即叫ecc] 满足正则性条件 门H;(一的,t)=o的广义平稳随机过程(stational了stochasticP丈。沈韶)古(t)(一的一田. 二l十又‘多维或无穷维平稳过程正则性的解析条件更为复杂.在一般情况下,当谱密度f(又)是Hilbed空间中的正算子函数时,正则性条件等价于f(之),有如下形式的因子分解:f(之)=沪‘(又)势(又),其中甲(又)(一的<又<的)是在下半平面:=又十扭(产<0)解析的算子函数职(又十巾)当群~O时的边界值. 每一广义平稳过程乙(t)都有一个正交和形式的分解: C(t)=亡(r)+叮(t), E心(t)冲(r)=0,其中七(约是线性一正则过程,而叮(约是线性一奇异过程(lin‘Irly一51哗问arp找兀巴粥),它是一广义平稳过程,且 口H,(一的,亡)一H,(一的,的);此外,对一切t还满足 H。(一的,t)C=H:(一的,t)及 H,(一的,t)C=H‘(一的,t).饼卜注】人们更常用的石孙足、)入,、、二、.*一程(purelynon一击湘爪血殆址pnX七邓),而不是线性一正则过程.一个二阶过程分成正则和奇异部分的分解〔如正文所述),称为从勺】d分解(WoUdecomPosj-
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条