求解HJB方程的拟变分不等式组的迭代法

本文对HJB方程的拟变分不等式组提出一种迭代算法,并给出此算法在一定的条件下的单调性定理和证明,数值试验表明此法有效的.     

DFT Study on Some Properties of Polybrominated Phenoxathiin 10-Oxides

With the B3LYP calculation method of density functional theory(DFT)and the 6-31G* basis set,full optimization calculation was made for phenoxathiin10-oxide(PTO)and 135 polybromine phenoxathiin 10-oxides(PBPTOs)with the Gaussian 03 program and molar heat capacity in constant volume(CVθ)value of each molecule in the standard state was obtained.The relation between CVθ and the substitution position and number of bromine atom(NPBS)was studied,and the results indicated good correlation(R2 = 1.000)between CVθ and NPBS of PBPTO compounds.Based on the output file of Gaussian 03 program,molar heat capacity at constant pressure(Cp,m)of PBPTO compounds from 200 to 1,000 K was calculated with the statistical thermodynamics program,and the correlation equation between Cp,m and temperature(T,T-1 and T-2)was obtained with the least-squares method,and the correlation coefficient of the correlation equation(R2)was 1.000.In addition,based on the partition function of each molecule calculated by vibration analysis,the relative rate constant of formation of each molecule was calculated.     

A New Diiminopyridyl Cobalt Complex [CoCl_2L]（L=2,6-Bis（N,N＇-bis（2,6-diisopropyl-4-（2,3-dimethyoxylbenzoylamide）phenylimino））pyridine）

The reaction of CoCl2·6H2O with 2,6-bis(N,N'-bis(2,6-diisopropyl-4-(2,3-dimethy-oxyl-benzoylamide)phenylimino))pyridine(L) afforded the complex [CoCl2L],which was fully characterized by elemental analysis,UV-vis,IR spectroscopy,fluorescence,and X-ray diffraction analysis.The compound is of triclinic system,space group P1 with a = 13.058(3),b = 13.798(3),c = 16.695(3) ,α = 98.191(3),β = 102.792(3),γ = 101.820(3)°,V = 2815.0(9) 3,Z = 2,F(000) = 1122,μ = 0.45 mm-1,R = 0.061 and wR = 0.1349 for 9842 observed reflections(Ⅰ 2σ(Ⅰ)).The Co(Ⅱ) center adopts a distorted square-pyramidal coordination geometry.The extended structure shows a one-dimensional zigzag double chain linked by hydrogen bonds and π-π stacking interactions.     

蓝色显示材料及器件的研究

用Ｈ２和ＣＳ２还原法制备Ｃｅ：ＳｒＳ发光材料，分析了两种方法对材料的结构及发光特性的影响，得到了最高亮度为９５０ｃｄ／ｍ＾２（１０００Ｈｚ）的Ｃｅ：ＳｒＳ薄膜电致发光（ＴＦＥＬ）器件；用高温固相法得到Ｃｅ：ＳｒＧａ２Ｓ４荧光粉，用射频溅射沉积的Ｃｅ：ＳｒＧａ２Ｓ４薄膜在６００℃以上、Ｈ２Ｓ气氛下快速热处理可以改善薄膜结晶性能，提高杂质激发峰强度，得到好的光致发光（ＰＬ）发光性能，以陶瓷片作为基片同     

He光双电离末态波函数动量相关效应

在入射光子能量为79.6 eV～139 eV范围内,利用DS3C模型计算了不同碰撞几何条件下He光双电离的三重微分截面(TDCS),并与3C模型计算结果、CCC理论结果和实验数据做了比较.表明,末态波函数动量相关效应成功地修正了3C结果,特别当入射光子能量接近阈值时,明显改善了与实验结果的符合程度.     

Hamilton-Jacobi-Bellman方程的罚有限元估计

本文的研究对象为Hamilton-Jacobi-Bellman方程,在对该方程作出有限元估计的基础上利用罚有限元方法对其结果进行改进,并得出相应的收敛性和误差估计。     

A <Emphasis Type="Italic">d</Emphasis>-person Differential Game with State Space Constraints

We consider a network of d companies (insurance companies, for example) operating under a treaty to diversify risk. Internal and external borrowing are allowed to avert ruin of any member of the network. The amount borrowed to prevent ruin is viewed upon as control. Repayment of these loans entails a control cost in addition to the usual costs. Each company tries to minimize its repayment liability. This leads to a d -person differential game with state space constraints. If the companies are also in possible competition a Nash equilibrium is sought. Otherwise a utopian equilibrium is more appropriate. The corresponding systems of HJB equations and boundary conditions are derived. In the case of Nash equilibrium, the Hamiltonian can be discontinuous; there are d interlinked control problems with state constraints; each value function is a constrained viscosity solution to the appropriate discontinuous HJB equation. Uniqueness does not hold in general in this case. In the case of utopian equilibrium, each value function turns out to be the unique constrained viscosity solution to the appropriate HJB equation. Connection with Skorokhod problem is briefly discussed.     

Successive approximation procedure for steady-state optimal control of bilinear systems

The optimum regulation problem of a bilinear system with a quadratic performance criterion is obtained in terms of a sequence of algebraic Lyapunov equations. The results are based on the method of successive approximations. The proof of convergence of the proposed scheme is given and the design procedure is illustrated by two examples.     

Optimal assets allocation and benefit outgo policies of DC pension plan with compulsory conversion claims

In this paper, we study optimal asset allocation and benefit outgo policies of DC (defined contribution) pension plan. We extend He and Liang model (2013a,b) to describe dynamics of individual fund scale during distribution period. The fund scale is affected by investment return, benefit outgo and mortality credit. The management of the pension plan controls the asset allocation and benefit outgo policies to achieve the objective of pension members. The goal of the management is to minimize accumulated deviations between the actual benefit outgo and a pre-set target during the whole distribution period. The performance function (criterion) is the weighted average of the square and linear deviations to express more penalty on negative deviation than positive deviation. Using HJB (Hamilton–Jacobi–Bellman) equations and variational inequality methods, the closed-forms of the optimal policies are derived. The counterintuitive effect of the optimal proportion allocated in the risky asset with respect to the fund scale is also derived, and the optimal benefit outgo has the form of the spread method. Moreover, we use Monte Carlo Methods (MCM) to analyze economic behaviors of the optimal asset allocation and benefit outgo policies.     

Synthesis and Crystal Structure of a Zinc（II） Complex with 2-（4＇-Chlorine-benzoyl）- benzoic Acid and 1,10-Phenanthroline

A new metal-organic complex Zn2（cbba）4（phen）2 （Hcbba = 2-（4＇chlorine-ben- zoyl）benzoic acid, phen = 1,10-phenanthroline） 1 has been hydrothermally synthesized and structurally characterized by elementa...