模型不确定非线性随机系统的鲁棒性能准则设计

对于一类模型不确定非线性随机系统,用耗散性的观点发展了鲁棒性能准则理论.特别地,将确定性非线性系统理论中的耗散性概念引入到模型不确定随机非线性系统中,并以此作为基础来发展H∞理论.在精确模型随机非线性系统H∞基础上,建立了模型不确定系统L2增益和HJI不等式的可解性的关系.由于HJI偏微分方程难于求解,考虑模型参数满足某种适当匹配条件的系统的鲁棒性能准则问题,我们不需要通过求解HJI方程就可以得到此类系统的H∞控制律.     

有机化学品的生物降解性及构效关系

介绍了描述生物降解性的主要测定参数，测定过程的影响因素及常用的结构描述符，并结合实例综述了目前应用比较广泛的定量结构－生物降解性关系（QSBR）技术，最后，分析了QSBR工作存在的主要问题及研究前景。     

Existence of EF‐equivalent non‐isomorphic models

We prove the existence of pairs of models of the same cardinality λ which are very equivalent according to EF games, but not isomorphic. We continue the paper [4], but we do not rely on it. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Model conversions of uncertain linear system using the improved block-pulse function approach

This paper presents an improved block-pulse function approach to convert a continuous-time (respectively, discrete-time) structured uncertain linear system into an equivalent discrete-time (respectively, continuous-time) structured uncertain linear model. The concept of the principle of equivalent areas is utilized for the uncertain model conversions. This allows the use of well-established theorems and algorithms in the discrete-time (respectively, continuous-time) domain to indirectly solve the continuous-time (respectively, discrete-time) domain problems. A numerical example is given to demonstrate the effectiveness of the proposed method.     

Numerical aspects of calculation of confined swirling flows with internal recirculation

Predictions were performed for two different confined swirling flows with internal recirculation zones. The convection terms in the elliptic governing equations were discretized using three different finite differencing schemes: hybrid, quadratic upwind interpolation and skew upwind differencing. For each flow case, calculations were carried out with these schemes and successively refined grids were employed. For the turbulent flow case the k-ε turbulence model was used. The predicted cases were a laminar swirling flow investigated by Bornstein and Escudier, and a turbulent low-swirl case studied by Roback and Johnson. In both cases an internal recirculation zone was present. The laminar case is well predicted when account is taken of the estimated radial velocity component at the chosen inlet plane. The quadratic upwind interpolation and skew upwind schemes predict the main features of the internal recirculation zone also with a coarse grid. The turbulent case is well predicted with the coarse as well as the finer grids, the skew upwind and quadratic upwind interpolation schemes yielding results very close to the measurements. It is concluded that the skew upwind scheme reaches grid independence slightly before the quadratic upwind scheme, both considerably earlier than the hybrid scheme.     

原子模型势理论中径向微分算符矩阵元的计算

本文推广［７，８］的工作，导出了多电子原子模型势理论中含径向微分算符的矩阵元通式，可直接用于以“速度”及“加速度”形式跃迁振子强度计算。     

厄尔尼诺/拉尼娜-南方海涛模型的变分迭代解法

研究了-类厄尔尼诺-南方海涛（ENSO）振子的模型，利用变分迭代方法求出了ENSO模型的近似解。     

低温液体流动沸腾数值计算中的相间传热模型

采用双流体模型预测了液氮在垂直管内的流动沸腾过程,着重考察和评价了五个常用的相间传热模型对数值计算结果的影响,找出了最优的相间传热模型;同时,研究还发现相间传热模型对流动压降的预测并无明显影响.     

上海股票市场波动不对称性研究—GJR-与VS-GARCH模型的比较

分析了两个不对称的GARCH模型:G JR-GARCH和VS-GARCH,并对VS-GARCH进行了修正。使用上证综合指数对两个模型进行了实证比较,发现修正的VS-GARCH更适合中国证券市场,能更好的捕捉到波动的不对称性。同时实证结果显示在沪市上,好消息引发的波动大于坏消息引发的波动,并从交易规则和投资者心理方面进行了解释。     

Heteroepitaxial praseodymium sesquioxide films on Si(1 1 1): A new model catalyst system for praseodymium oxide based catalysts

The structure, growth and stoichiometry of heteroepitaxial Pr₂O₃ films on Si(1 1 1) were characterized by a combined RHEED, XRD, XPS and UPS study in view of future applications as a surface science model catalyst system. RHEED and XRD confirm the growth of a (0 0 0 1) oriented hexagonal Pr₂O₃ phase on Si(1 1 1), matching the surface symmetry by aligning the oxide in-plane direction along the Si azimuth. After an initial nucleation stage RHEED growth oscillation studies point to a Frank-van der Merwe growth mode up to a thickness of approximately 12 nm. XPS and UPS prove that the initial growth of the Pr₂O₃ layer on Si up to ∼1 nm thickness is characterized by an interface reaction with Si. Nevertheless stoichiometric Pr₂O₃ films of high crystalline quality form on top of these Pr-silicate containing interlayers.