查询词典 controllable stochastic process

A two dimensional stochastic nonlinear dynamical model of semi-active suspension system is presented considering the stochastic factor of the road. The Hamilton function is also described as one dimension diffusion process by using stochastic average method, the stationary stability is studied by solving the Fokker-Planck-Kolmogorov equation. The Backward Kolmogorov equation for reliability function had been established.

考虑路面随机因素的影响，首先建立二自由度汽车半主动悬架的随机非线性动力学模型，运用随机平均法，将Hamilton函数表示为一维扩散过程，并运用奇异边界理论分析系统的全局随机稳定性，建立可靠性函数所满足的Backward Kolmogorov方程，结合初始条件和边界条件得出数值结果。

Besides, a method has been creatively proposed to process stratum rupture using cross-ring. Bridge-edge and stratum area decompounding method has been used to solve reverse fault issue, and the applying problem basing on state machine model has been resolved by using a function class mechanism. It supplies a new idea and new method for reservoir stochastic modeling. At the same time, the geology stochastic modeling theory system has been enriched and improved. It has important academic and practical meaning in deepening reservoir development geology stochastic modeling theory and increasing remaining oil research extent.

该软件创造性地提出用相交环线概念来处理地层撕裂；用桥边及地层面区域子分的概念来处理带有逆断层的地层撕裂；用功能类机制及相应的消息分发模型，来解决基于状态机模型的应用问题等理论，为储层随机建模研究提供了新思路和新方法，进一步丰富、完善了储层随机建模的理论体系，对深化油田开发地质随机建模理论及加大剩余油挖潜力度具有重要的理论意义和现实意义。

The process features and shape features of the electronic part are classified and defined, and then the feature model library is built, which enables rapid input of the part information. The rules and methods of stamping process design are summarized to build the stamping process library, so that the stamping process can be designed rapidly and intelligently. Furtherly, the process design rules and methods in process station layout of multi-station progressive die as well as the methods of decompounding and compounding process and the expression method of the process station layout are concluded and summarized, and then the rule library and case library of process station layout are built. Designing the process station layout rapidly is carried out based on rules and cases. At last the rapid design function of process station layout is validated through simulating the rapid designing layout system of multi-station progressive die on Pro/E 3D platform.

主要研究成果有：对电子产品冲压件的工艺特征与形状特征进行了分类和定义，建立了特征模型库，实现了冲压件信息的快速输入；归纳了冲压工艺设计规则和方法，建立了冲压工艺知识库，实现了冲压工艺快速与智能化设计；归纳总结了多工位级进模工步排样中的工序设计原则和方法，工序分解与工序组合方法，工步排样知识的表示方法，建立了工步排样规则库和实例库，利用基于规则和实例的推理方法，实现了工步排样的快速设计；在Pro/E三维软件平台上开发了电子产品多工位级进模工步排样快速设计系统，系统通过实例验证了工步排样的快速设计功能。

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。

Since any n x n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n - 1 in the shift operator wn, the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

Since any n×n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n-1 in the shift operatorω_n,the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

The main contributions are summarized as the following.Firstly, assuming demand is segmented by order lead time, a joint pricing and capacity allocation model is formulated considering scenario-based demand. Due to the stochastic discrete variable in the model, robust optimization is used to solve the model. Numerical examples prove our model and method reflect the stochastic characteristics of demand and provide more pratical pricing and capacity allocation policies than other methods of deterministic and stochastic expectation programming methods especially when the capacity is tight.

本文的创新之处概括为如下几个方面：首先，假设制造企业根据交货提前期对市场细分，建立了考虑需求情境的BTO模式下制造企业定价与能力分配的集成模型，利用稳健优化规划方法对此随机模型进行转化和求解，算例仿真表明随机优化规划方法较确定性规划和随机期望值规划方法更好地反映了随机离散需求的分布和波动特征，更加接近实际运作情况；产能越紧张，各类需求的价格差距越大，三种规划方法给出的最优策略差距越大。

Chapter 5 deals with the solvable theorem of adaptive inverse optimal control problems for a class of stochastic nonlinear systems driven by Wiener noises of unknown covariance. The systems are depicted by It〓 stochastic differential equations. By using an adaptive backstepping algorithm and stochastic control Lyapunov functions, the designing procedure of control laws of global asymptotic stability in probability and adaptive inverse optimal stabilization in probability are presented systematically. Adaptive control laws and parameter update laws can be obtained at the same time by this design scheme.

在第5章中，针对具有方差不确定Wiener噪声扰动和未知定常参数的随机非线性系统（假设方差的F—范数是一个常数或一个缓慢变化的量，对其进行在线辨识），给出并证明了自适应逆最优控制问题可解定理，基于随机Lyapunov定理和It〓微分规则，采用自适应Backstepping设计方法，系统地设计了全局依概率渐近稳定和自适应逆最优控制策略，这种设计方法可同时获得控制策略和自适应律，计算机数值仿真结果表明该控制算法是有效性的。

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

Supposed stochastic variations are perturbed in a small range, we can get a nonlinear equation of these stochastic variations by using a Taylor series or a Neumann series expansion of the system matrix. The application of perturbation techniques translates this nonlinear equation into a pair of constant linear recursive equations. Then we have written a paper "Stochastic Finite Element Method for Interconnect Including Variational Analysis" which has been contributed to 11th Asia and South Pacific Design Automation Conference.

本文所取得的主要成果就是提出了一种新的算法，即用随机有限元来分析变化的互连线，将方程按随机变量泰勒展开或者纽曼展开，从而化无限维为有限维；应用matlab进行了算法仿真，并将结果与传统Monte-Carlo与GETA进行了比较；最后写了一篇文章《Stochastic Finite Element Method for Interconnect Including Variational Analysis》，已投第11届亚洲和南太平洋设计自动化会议。

Bob Eckert has been chairman and chief executive of Mattel for eight years.

美泰董事长兼首席执行官鲍勃·埃克尔特在任已8年。

The outlook for honors and disgraces carries on and surpasses the traditional outlook for honors and disgraces theoretically, and carries on and develops the theory of construction of socialist mora...

社会主义荣辱观的提出在理论上是对传统荣辱观的一次继承和超越，是对社会主义道德建设理论的继承和发展，在实践上有利于形成良好的社会风尚。