A Globally Convergent and Efficient Method for Unconstrained Discrete-Time Optimal Control

Shift schemes are commonly used in non-convex situations when solving unconstrained discrete-time optimal control problems by the differential dynamic programming (DDP) method. However, the existing shift schemes are inefficient when the shift becomes too large. In this paper, a new method of combining the DDP method with a shift scheme and the steepest descent method is proposed to cope with non-convex situations. Under certain assumptions, the proposed method is globally convergent and has q-quadratic local conve rgence. Extensive numerical experiments on many test problems in the literature are reported. These numerical results illustrate the robustness and efficiency of the proposed method.     

用ESCA谱仪研究氟共聚物F2314的共聚特性

由不同共聚比的偏二氟乙烯 (ＶＤＦ)和三氟氯乙烯 (ＣＴＦＥ)共聚合而形成的一系列共聚物体系在工业上有着广泛的应用。其中 ,未硫化的ＶＤＦ/ＣＴＦＥ共聚物 (俗称生胶 )常作为粘结剂。其中 ,氯原子只存在于单体ＣＴＦＥ形成的链段中 ,常用氯含量来表征ＶＤＦ/ＣＴＦＥ共聚物中共聚单体的链节比。但也发现氯含量相似的同一类型的ＶＤＦ/ＣＴＦＥ共聚物的溶解性上常存在较大的差异。影响共聚物溶解性的可能因素[1- 3] 为聚合度及共聚特性 ,包括链接方式等。前期的研究表明溶解性能差异较大的共聚物的聚合度没有明显的变化。本文采用ＥＳＣＡ…     

Eu2+,Dy3+共掺杂硼铝锶长余辉玻璃陶瓷

首次介绍了一种新型长余辉材料:Eu^2 ,Dy^3 共掺杂硼铝锶长余辉玻璃陶瓷，该玻璃陶瓷用紫外灯、日光、荧光灯均可激发，发射黄绿色余辉，余辉的发射峰位于516nm，来自于Eu^2 的5d→^8S7/2跃迁。用12000 lx的荧光灯激发样品20分钟，停止激发后10秒时，该玻璃陶瓷的余辉亮度为3．53cd/m^2，色坐标为：x=0.2842,y=0.5772;停止激发后5小时55分钟，该玻璃陶瓷的余辉亮度为0．01cd/m^2；停止激发30小时后，余辉在黑暗中仍肉眼可见。文中对该玻璃陶瓷的相关性质进行了表征，并提出了可能的长余辉机理。     

Torsion Structure in Riemann-Cartan Manifold and Dislocation

The U(1) gauge structure of torsion and dislocation in three dimensional Riemann-Cartan manifold have been studied. The local topological structure of dislocation have been presented by so-called topological method in which the quantum number is by Hopf indices and Brouwer degree. Furthermore, the relationship between the dislocation lines and Wilson lines of the U(1) gauge theory is discussed by using the Chern-Simons theory.     

Stability and Luminescence Properties of Tb (Ⅲ) Complexes with Adrenaline

Theinteractionofrareearthwithhormoneshouldbestudiedindetailinordertoexploremechanismoftheneuralandendocrineeffectofrareearth.Asacontinuationofourresearchontheinteractionofrareeafthwithhormone',stabilityandluminescencepropertiesofTb(lII)complexeswithadrenalineorepinephrine(3,4-dihydroxy-a(methylaminomethyl)benzylalcohol,(HO)zCeH3CH(OH)CH=NHCHshavebeenstudiedinthiswork.Satisfactoryresultshavebeenobtained.PotentiometrictitrationsweremadeonapHS-3CpHmeterbymeansofthemethoddescribedinpreviou…     

粗糙核分数次积分算子的两权弱型不等式

作者得到了粗糙核分数次积分算子的两权弱型不等式,推广了Cruz-Uribe和Perez的结果.     

纳米粒子与单晶硅表面碰撞的反弹机理研究

应用分子动力学方法模拟了纳米粒子与单晶硅(001)表面碰撞、反弹飞离的现象，分析了粒子的反弹行为、基体弹性形变和塑性形变的原子构型特征，以及碰撞过程的能量转化.碰撞后单晶硅表面形成半球形的小坑，小坑周围的基体原子呈非晶态.碰撞过程中与颗粒相邻的基体原子立即非晶化，在非晶层外面基体以可恢复的(111)［110］滑移结构存储弹性形变能.在射入过程，基体发生压缩弹性形变；颗粒反弹时基体势能振荡下降,交替形成压缩形变构型和拉伸形变构型.射入过程中存贮的压缩弹性形变能的释放为颗粒提供了反弹、飞离的能量. 关键词： 碰撞 纳米粒子 单晶硅表面 分子动力学模拟     

INFINITE PERIODIC SOLUTIONS TO A CLASS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

By means of variational structure and Z2 group index theory, we obtain infinite periodic solutions to a class of second-order neutral differential equations.     

左截断数据中的Fisher信息量

本文研究左截断数据(U,V)含θ的Fisher信息量,并给出了基于分布和失效率表示的两个表达式.特别在Koziol-Green模型下研究左截断观测数据(U,V)含θ的Fisher信息量与完全数据X含θ的Fisher信息量的关系,得出在该模型下左截断观测数据(U,V)含θ的Fisher信息量不仅未损失,反而增加的结论.     

一类基于变量分离的稳定化混合有限元方法

Based on a seperated model for saddle-point problems, we develop a new sta-bilized mixed finite element method. Such a model consists of two subproblems with respect to the primal and the dual variables, respectively. We show that the new method is coercive and that optimal error bounds hold. As an application,the nearly incompressible elastic problem is analyzed with our method.