Receding horizon H∞ control for discrete-time Markovian jump linear systems

Receding horizon H∞ control scheme which can deal with both the H∞ disturbance attenuation and mean square stability is proposed for a class of discrete-time Markovian jump linear systems when minimizing a given quadratic performance criteria. First, a control law is established for jump systems based on pontryagin’s minimum principle and it can be constructed through numerical solution of iterative equations. The aim of this control strategy is to obtain an optimal control which can minimize the cost function under the worst disturbance at every sampling time. Due to the difficulty of the assurance of stability, then the above mentioned approach is improved by determining terminal weighting matrix which satisfies cost monotonicity condition. The control move which is calculated by using this type of terminal weighting matrix as boundary condition naturally guarantees the mean square stability of the closed-loop system. A sufficient condition for the existence of the terminal weighting matrix is presented in linear matrix inequality (LMI) form which can be solved efficiently by available software toolbox. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.     

关于Zeta函数值的一个注记

关于Zeta函数的特殊值，Browkin曾猜测有等式｜ζ（-1）｜=R2k2/ω2，然而，在F是有复素位的数域情形下，可判定此等式不成立。主要的方法是利用有关Bloch群的一个定理及zeta函数方程作一些计算，然后和猜测的等式进行比较，导出矛盾。     

PBR_0代数的性质及其滤子

在研究BR_0-代数的基础上,首先给出了PBR_0-代数的概念,讨论了PBR_0-代数的一些性质,得到了PBR_0-代数的等价刻画定理,然后讨论了PBR_0-代数的滤子及其生成滤子的性质.     

LLDPE/TiO2 nanocomposites produced from different crystallite sizes of TiO2 via in situ polymerization

Nano-TiO2 particles with a range of crystallite sizes were synthesized by a conventional sol-gel method,and then used as nanoparticle substrates in the synthesis of LLDPE/TiO2 nanocomposites via in situ polymerization of ethylene/1-hexene with zirconocene/MMAO catalyst.It was found that the size of the nano-TiO2 crystallite nanoparticles can influence the catalytic activity in the polymerization system.The larger nano-TiO2 crystallites provided better catalytic activity in the polymerization system due to more space for monomer attack.In addition,by thermo-gravimetric analysis,it can be seen that the larger nano-TiO2 crystallites also exhibited lower interaction with available MMAO.Consequently,the MMAO reacted more efficiently with the zirconocene catalyst during the activation process,and enhanced polymerization catalysis.All the polymer nanocomposites products did not have well defined melting temperature indicating non-crystalline polymers.This is due to the high amount of hexene incorporation(based on 13C NMR).The difference in crystallite sizes of the nano-TiO2 also affected how 1-hexene became incorporated into the polymer nanocomposites.The smaller crystallite size of nano-TiO2 allowed greater 1-hexene incorporation due to depression of the reactivity of the ethylene.The contribution of this work helps develop a better understanding of the role of nano-TiO2 in the catalytic activity of the polymerization system and in the microstructure of the polymer composite product.However,this study only considers work on the laboratory scale,so for commercial application of these results,it is necessary to scale up the polymerization process.It is only at this stage,that other physical properties,such as the mechanical properties of these materials can be sensibly determined.     

双参数Co半群的收敛性问题

本文给出了有关双参数C0半群的一些性质,研究了双参数C0半群收敛性问题,借助单参数C0半群与双参数C0半群之间的关系,在一定条件下,将单参数C0半群序列的收敛性推广到了双参数C0半群上.     

基于{V_8O_(24)}~(8-)阴离子簇的一维Zn(Ⅱ)配合物的合成及晶体结构

利用水热合成技术,合成了1个基于{V8O24}8-阴离子簇的Zn(Ⅱ)配合物[Zn2(Hdpa)3]2V8O24(dpa=2,2′-dipyridylamine),通过X-射线单晶和粉末衍射、红外光谱和热重-差热分析手段进行了表征.单晶X-射线衍射分析表明化合物是由2种不同的阳离子片段([Zn(dpa)2]2+和[Zn(dpa)]2+)连接{V8O24}8-阴离子簇形成的1D带状结构,其中{V8O24}8-阴离子簇展示了清晰的椅式构型,2个[Zn(dpa)]2+单元分别被支撑在椅式构型的两侧.     

2-模和R-2-模的关系

在范畴化理论的基础上,利用预见性范畴和可加2-函子的性质,证明了2-模和R-2模之间的关系,从而得到其相关理论的对应关系,并拓展进一步研究和应用2-模理论,对研究高维同调代数理论有重要作用.     

TiO_2纳米晶的研究进展

纳米TiO2具有诸多优良特性,有着极好的应用前景。特别是在光催化领域,纳米TiO2的光催化作用可以把光能转变为电能和化学能,实现许多通常情况下难以实现或不可能进行的反应;用于环境治理,它的分散性以及对紫外线较好的屏蔽作用,使其广泛用于制备化妆品、防护漆等;此外,纳米TiO2还可作为吸收、反射红外光、隐身、静电屏蔽和增强增韧等材料。文章综述了纳米TiO2的特性、主要制备方法和主要应用领域,并结合实际应用中存在的问题,对纳米TiO2的发展趋势作出展望。     

NiO对Pt／WO3／ZrO2催化剂上正庚烷异构化反应的促进作用

考察了NiO掺杂的Pt／WO3／ZrO2催化剂在200℃时正庚烷临氢异构化反应性能．结果表明，少量NiO的加入能显著提高Pt／WO3／zrO2的催化活性，异构化选择性也有所增加，这是由于pt^0浓度和Pt分散度的增加以及临氢条件下具有更多的B酸位引起的．催化剂连续反应80h，正庚烷转化率和异构化选择性分别稳定在57％和98％．     

基于SSH2的矿山项目进度管理系统的设计与实现

针对中关铁矿建设项目管理需求,采用SSH2(Struts2+Spring2+Hibernate3)组合框架技术,实现了矿山建设期间技术资料、计划、进度、日常工作等计算机管理,提高了项目管理水平和工作效率。