查询词典 stochastic signal

The analysis in theory proves that cellular automaton is equal with a stochastic process that described by stochastic difference equations. The primary differential equation is expectation of this stochastic process. And its variance function is controllable. These results show that cellular automata are in agreement with primary differential equation in the statistical sense.

理论分析证明：该方法设计的细胞自动机等价于一个可用随机差分方程描述的随机过程，该随机过程以原微分方程为期望函数，并且，其方差函数是可控的，表明细胞自动机和原微分方程在统计意义上是一致的。

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。

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。

Our analysis framework relies on the reflected Backward Stochastic Differential equation approach.We characterize the value functions of the noncallable bonds in terms of the reflected Backward Stochastic Differential equation,Then the relationship between the value function of convertible bonds and reflected backward stochastic differential equations with single reflect is built at the same time,and provide the optimal conversion strategy for bondholders.2:We get the value of non-callable convertible bonds by numerical methods.

探讨了可转换债券的最优停时价值与带反射边界倒向随机微分方程解的关系，在市场完备，公司价值只包括股权和可转债这两种权益等各种假定下，给出不可赎回可转换债券的价值函数，证明了不可赎回可转换债券的最优停时问题的解是存在的，同时给出了其最优的转换策略。2：通过数值方法求解不可赎回可转换债券的价值。

In order to solve the route search problem in stochastic Petri net, the feature of reliability is introduced into each transition, and suppose that the lifetime distribution of a transition obeys the Weibull distribution model, then a memorial stochastic Petri net with reliability whose elements can record a little information is proposed based on the ant colony optimization algorithm and features of the memorial stochastic Petri net.

为了解决随机Petri网的路径寻优问题，在变迁中引进了可靠性的特性，并假设变迁的寿命服从威布尔分布模型，然后根据蚁群算法和时间Petri网的特点提出了一种网络元素可以记录少量信息的带可靠性的记忆时间随机Petri网。

The other aspect of the finit dimeasional robust adaptive control on a class of stochastic distributed parameter system in this paper was based on the above mentioned ground and researched the class of stochastic distributed parameter system which operator generated a compect self-adjoint semigroup or had point spectral in a stochastic developing equation of one order.

最优炉温参数是由性能指标表示为关于控制类中参数的函数通过优化求得的，而这个函数又是通过在某些已知炉温控制规律下，求钢坯温度分布和性能指标值而获得的。

Trigonometric series is used to simulate stationary, non-stationary, Gaussian andnon-Gaussin stochastic processes by spectral representation in which the non-stationary stochastic processes are expressed as the product of determinate functionsand stationary stochastic processes.

结合随机变量的Monte Carlo模拟法，随机场的局部平均法与随机过程的三角级数模拟法，用均值、方差、相关长度及功率谱等，可有效地描述随机变量、随机场、随机过程，及同时具有场与过程随机的变量。

In constructing the model of the optimization of the industrial structure, the pollutant emission will be a stochastic variable, by using stochastic optimization it will solve the uncertainty problems in environmental pollution, on this basis, the author constructed a China's industrial multi-objective dynamic Stochastic optimization model, and has given model solving methods.

在产业结构优化模型中将污染物排放作为随机变量处理，应用随机优化方法解决了环境污染的不确定性问题，在此基础上构建了中国产业结构多目标动态随机优化模型，并给出了模型的求解方法。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。