A note on the necessary conditions for the algebraic Riccati equation

We derive some useful and easily computable necessary conditionsfor the existence of a positive semi-definite solution to thealgebraic Ricatti equation (ARE). A motivating example is givento highlight the usefulness of the conditions for controllerand observer designs for nonlinear systems. Further, an upperbound on the trace of the solution to the ARE is also derived.     

等离子体中Langmuir波、横波和离子声波相互作用过程的孤立子行为

我们用Zakharov方程描述等离子体中Langmuir波、横波和离子声波的非线性相互作用,通过研究系统稳态的Sagdeev势的性质,讨论了该系统中孤立子可能存在的条件;同时和体系的极小能量状态相联系,构造了体系的Liapunov泛函,研究了孤立子的Liapunov稳定性。我们所采用的方法是完全非线性的,得到的稳定性判据在横波和Langmuir波解耦情况下退化为文献[8]的结果。 关键词：     

中性载体阳离子电极膜电化学的计算机数字模拟

对中性载体阳离子电极膜3种可能的传输模式进行了数字模拟,研究了淌度、浓度、配合物稳定常数以及阴离子亲脂性对电极电位响应的影响。模拟结果对于廓清这类电极响应机理,解释有关实验现象及指导新电极设计提供了有用的信息。     

一维链状锰配位聚合物[Mn(4-CPOA)(2,2-bipy)(H_2O)]_n的合成与晶体结构(英文)

0IntroductionThe solid-state chemistry of manganese!car-boxylate coordination polymers has received growingattention over the past few years,owing to their fasci-nating network topologies and potential application inthe field of molecular magnetism and bi…     

A MATHEMATICAL STUDY OF THE SEVEN GRAPTOLITE BIOZONES OF THE LOWER SILURIAN LONGMAXIAN STAGE IN CHINA

With the aid of matrix theory and computer a series of data can be obtained such as the total number of localities in which r species of graptolites appears, the common number of localities in which both i and j species of graptolites appear, the total number of species of graptolites in one locality, the common number of species of graptolites found in both i and j localities, the total number of zones in which r species of graptolites appears, the common number of zones in which both i and j species appear, the total number of species of graptolites found in one zone, the common number of species of graptolites found in both i and j zones. Based on these data a common problem in biostratigraphy may be solved, that is, in the absence of the zonal graptolite which species of graptolites can be chosen to replace the zonal graptolite, or how to detect the zonal graptolite of a graptolite biozone. The result of matrix treatment not only detects the graptolite biozone but is useful to infer the paleo-biogeo     

Synthesis, Crystal Structure and Properties of [Co(1,3- bdoaH)_2·4H_2O]·4H_2O with Benzene-1,3-dioxyacetate Ligand

1INTRODUCTIONTheorganicaromaticcarboxylatemetalcom-plexeshavearousedmuchattentionandbeenwidelyinvestigated.However,thestrategyofdesignandsynthesisofthesecomplexesismostlyfocusedonrigidligands,suchasterephthalicacidandbenzenetricarboxylicacid,etc.[1～5].Theassemblyofcom-plexesbyusingflexiblearomaticcarboxylateli-gandsisfarlessdeveloped[6,.Phenylenedioxydia-7]ceticacids(bdoaH2)withbiologicalactivitiesandwideapplicationsinagriculture[8]areafamilyofmultidentateflexibleligandswithversatilebind…     

Synthesis and Crystal Structure of a 1-D Chain Zinc（Ⅱ） Coordinated Polymer with N-p-Tolysulfonyl-glutamine

A novel coordination polymer {[Zn(ts-gln)(bipy)]3H2O}n (ts-glnH2=N-p-toly-sulfonyl-glutamine,bipy=2,2-bipyridine) has been prepared and structurally characterized by X-ray diffraction method. It crystallizes in orthorhombic,space group P212121 with a=8.2622(5),b=16.6244(10),c=18.2807(10) ,V=2510.9(3) 3,C22H28N4O8SZn,Mr=573.91,Z=4,Dc= 1.518 g/cm3,μ(MoKa)=1.115 mm-1,F(000)=1192,the final R=0.0262 and wR=0.0662 for 5691 independent reflections with Rint=0.0240. The zinc(Ⅱ) atom is coordinated by N(3) and N(4) atoms of a bipy molecule,two carboxylate O(1) and O(2A) and amino N(1) atoms of ts-gln ligands,resulting in a square-pyramidal geometry. The title complex consists of an infinite zigzag chain of zinc(Ⅱ) ions linked by the carboxylate of N-p-tolysulfonyl-glutamine.     

C60-蒽吡咯烷的合成及非线性光学性质的研究

设计合成了一种新的C60-蒽吡咯烷衍生物1.以1H NMR,13C NMR,FTIR,UV-Vis和FAB MS进行了结构表征,测量其在甲苯溶液中的紫外光谱、荧光发射光谱,并在最大发射波长下测得其荧光寿命为5.44 ns,利用皮秒激光光源,采用Z扫描技术测定了分子1的三阶非线性超极化率γ(3)为6.60×10-33 esu,大于C60的文献报道值7.5×10-34 esu.说明C60-蒽吡咯烷衍生物1在激光激发下发生了加成基团蒽与母体C60之间的分子内能量转移和电荷传递.通过理论化学计算进一步验证了电荷转移的发生.     

THE GROWTH AND BOREL POINTS OF RANDOM ALGEBROID FUNCTIONS IN THE UNIT DISC

In this paper,we construct k-valued random analytic algebroid functions for the first time.By combining the properties of random series,we study the growth and ...     

CTAB与SDBS对碳酸锶粒子生长形态调控及机理研究

以表面活性剂CTAB和SDBS为化学添加剂,采用化学共沉淀法对碳酸锶晶体的生长形态进行调控,成功地制备出了实心的树枝状和花瓣为空心的花状碳酸锶粉体,并用X射线衍射(XRD)、扫描电子显微镜(SEM)和傅里叶变换红外光谱(FT-IR)等分析手段对样品进行了表征;最后重点对化学添加剂可能产生的影响机理进行了初步的探讨.结果表明,CTAB和SDBS在晶体生长的过程中能起到显著的影响作用,两者对粒子分散性能的作用效果相反,而且后者对晶体(013)和(213)晶面表面能降低的贡献明显大于前者.