一类不确定随机非线性系统的采样扩张状态观测器设计与观测误差的收敛性分析

实际系统中普遍存在各种干扰和不确定性因素,并且对控制系统的性能造成负面影响,因此设计对干扰和不确定性具有优异估计性能的观测器显得尤为重要.针对一类具有采样输出的不确定随机非线性系统,设计相应的采样扩张状态观测器用于在线估计不可量测状态和影响系统性能的随机总干扰.所估计的随机总干扰包含系统内部未建模动态、统计特性未知的外部有界噪声干扰以及不确定性因素的非线性耦合作用.在每个采样区间内,设计一个输出预估器用于估计实际输出,相应的输出估计值用于采样扩张状态观测器的设计.证明了所设计的采样扩张状态观测器对不可量测状态和随机总干扰的观测误差的均方收敛性.最后,一个具体仿真实例用于证实理论结果.     

一类平面薛定谔-泊松方程组孤立波的存在性（英文）

本文讨论一类平面薛定谔-泊松方程组孤立波解的性质.利用广义畴数理论和Nehari流形技巧,证明其高能量孤立波解存在无穷结点区域,且基态孤立波解是不变号的.     

Study on prediction of noise produced by stern wake-duct-propeller interaction

The mechanism and prediction methods of low-frequency discrete spectrmu noise of ducted propellers are studied. The acoustic pressure field of ducted propellers is divided into the propeller radiated field and the duct scattered field based on the linear acoustic theory. First of all, the flow field is analyzed with unsteady panel method to get the unsteady force, and then the pressure data are used as the sources for Ffowcs Williams-Hawings formulation to predict the propeller radiated field, meanwhile, the duct scattered field is obtained by Kirchoff integral equation. Through the analysis and calculation of a ducted propeller case, it is found that the duct scattered sound field is a small quantity compared with propeller radiated sound field under low-frequency and short duct condition; Also the predicted discrete spectrum noise level of ducted propellers is compared with that of full-scale propellers by experiment, verifying the predicted results are able to reflect the full-scale propellers＇ discrete spectrum noise level properly.     

血清微量元素缺乏哮喘患儿的治疗观察

目的探究吸入丙酸氟替卡松治疗血清微量元素铁、锌缺乏的咳嗽变异性哮喘患儿的临床效果观察。方法选取佛山市第一人民医院过往72例咳嗽变异性哮喘患儿作为研究对象,随机分配为每组36例,观察组和对照组两组形式。对照组患儿是从血清微量元素铁、锌缺乏的患儿中随机抽取的,观察组是从血清微量元素铁、锌正常的患儿中抽取的,同时给予吸入丙酸氟替卡松治疗。随访时间是1年,持续的吸入治疗6个月的时间,对两组患儿的治疗效果进行对比观察研究。结果两组患儿在出现喘息、咳嗽消失时间、发展成为哮喘、复发例数等方面进行对比,差异具有统计学的意义(P0.05)。结论血清微量元素铁、锌缺乏的咳嗽变异性哮喘患儿,会致使气道高反应机会增高,容易发生反复呼吸道感染,增加了发展成为哮喘的风险,影响到丙酸氟替卡松治疗的效果。     

Pure Multiplicative Noises Induced Population Extinction in an Anti-tumor Model under Immune Surveillance

The dynamical characters of a theoretical anti-tumor model under immune surveillance subjected to a pure multiplicative noise are investigated. The effects of pure multiplicative noise on the stationary probability distribution （SPD） and the mean first passage time （MFPT） are analysed based on the approximate Fokker-Planck equation of the system in detail. For the anti-tumor model, with the multiplieative noise intensity D increasing, the tumor population move towards to extinction and the extinction rate can be enhanced. Numerical simulations are carried out to check the approximate theoretical results. Reasonably good agreement is obtained.     

Stochastic Resonance in a Time-Delayed Mono-Stable System with Multiplicative and Additive Noise

The stochastic resonance （SR） in a time-delayed mono-stable system driven by multiplicative white noise, additive white noise, additive dichotomous noise as well as a periodic square-wave signal is considered from the view of the signal-to-noise ratio （SNR）. It is found that the SNR increases monotonically with the increase of the delay time. The SNR exhibits the SR behavior when it is plotted as a function of intensities of the noises, displaying the asymmetry of the dichotomous noise. The SNR varies non-monotonically with the increase of the system parameter and the amplitude of the input square-wave signal.     

受驱动的关联发射激光:双模亚泊松光

如果在关联发射的基础之上再引入原子相干，这样的系统可产生明亮的双模亚泊松光。运用Ｓｃｕｌｙ－Ｌａｍｂ理论计算ＭａｎｄｅｌＱ因子，一方面，当相对相位和相对振幅的量子噪声被抑制到真空噪声水平时，平均模呈现亚泊松光子分布；或者当平均相位和平均振幅的量子噪声被抑制到真空噪声水平时，相对模呈现亚泊松光子分布，ＭａｎｄｅｌＱ因子的最佳值均可达到－０．５。在上述两种情况下，每个关联发射激光（ＣＥＬ）模呈现亚泊松光子分布，ＭａｎｄｅｌＱ因子的最佳值均可达到－０．２５。     

基于泰勒级数及温度因子的卡尔曼滤波模型在链子崖危岩体变形预测中的应用

考虑到链子崖危岩体的变形受温度的影响较为明显,为此,将链子崖危岩体的变形看作时间和温度的函数,利用泰勒级数建立链子崖危岩体的变形与时间和温度的函数关系,并将泰勒级数的余项及时间变化的二次方和温度变化的二次方的系数的变化量看作数学期望为0的动态噪声,建立卡尔曼滤波模型,并用于链子崖危岩体变形的预测预报.实例计算表明,模型的拟合效果和预测效果较好.     

Smooth solutions for a stochastic hydrodynamical equation in Heisenberg paramagnet

In this article, we consider a stochastic hydrodynamical equation in Heisenberg paramagnet driven by additive noise. We prove the existence and uniqueness of smooth solutions to this equation with difference method.