Exponential stability of uniform Euler–Bernoulli beams with non-collocated boundary controllers

We study the stability of a robot system composed of two Euler–Bernoulli beams with non-collocated controllers. By the detailed spectral analysis, we prove that the asymptotical spectra of the system are distributed in the complex left-half plane and there is a sequence of the generalized eigenfunctions that forms a Riesz basis in the energy space. Since there exist at most finitely many spectral points of the system in the right half-plane, to obtain the exponential stability, we show that one can choose suitable feedback gains such that all eigenvalues of the system are located in the left half-plane. Hence the Riesz basis property ensures that the system is exponentially stable. Finally we give some simulation for spectra of the system.     

Unitarily invariant norm inequalities for accretive–dissipative operator matrices

An open question raised in Lin and Zhou (2013) [13] is answered.     

On angles in Teichmüller spaces

We discuss the existence of the angle between two curves in Teichmüller spaces and show that, in any infinite dimensional Teichmüller space, there exist infinitely many geodesic triangles each of which has the same three vertices and satisfies the property that its three sides have the same and arbitrarily given length while its three angles are equal to any given three possibly different numbers from 0 to $\pi $ . This implies that the sum of three angles of a geodesic triangle may be equal to any given number from 0 to $3\pi $ in an infinite dimensional Teichmüller space.     

齐次Morrey-Herz空间中高阶交换子的中心BMO估计

建立了具有粗糙核的Hardy—Littlewood极大算子高阶交换子及其相应的分数次极大算子高阶交换子在齐次Morrey-Herz空间上的中心BMO估计,并由此得到了由一类次线性算子所生成的高阶交换子在齐次Morrey—Herz空间上的相应结果.     

大规模伤亡事件应对流程的前摄性调度优化

以死亡人数最少化为目标,研究大规模伤亡事件应对流程的前摄性调度优化问题。首先,使用伤情等级和伤情随机转化的马尔可夫链,建立伤员死亡概率与伤员处置时间的函数关系。随后,将研究问题转化为柔性作业车间静态调度问题,并设计遗传算法求解。最后用一个随机算例对算法进行仿真,结果表明：该算法可行有效;与现有研究中救援时间最短化的调度方法相比,伴随着可接受的救援时间跨度增加,该方法可大幅降低救援过程中的死亡人数。本文研究有助于决策者优化应急救援过程,有效减少死亡人员数量。     

改性松香键合二氧化硅高效液相色谱固定相的制备及其对三七总皂苷的分离

三七中发挥药效的主要成分为三七皂苷R1、人参皂苷Rg1、人参皂苷Re、人参皂苷Rb1和人参皂苷Rd,用于贫血、冠心病、高血压、脑卒中后遗症等疾病的治疗,但其化学成分多且难分离.将氢化松香丙烯酸羟乙酯(HRHA)通过巯基-烯点击化学反应键合到烷基化硅胶表面,制备出一种新型的改性松香键合二氧化硅高效液相色谱固定相(SiO2...     

悬铃木叶片暗棕色抑菌色素的分离纯化及特性的初步研究

以碱提取、酸沉淀和ｓｉｌｉｃａｇｅｌ、Ａｌ２Ｏ３及ｓｅｐｈａｄｅｘＧ－２５柱层析分离纯化等步骤，从悬铃木落叶中制备得到一种暗棕色化合物，经ＰＡＧＥ、ＰＬＣ及ＴＬＣ检测均为单一谱带或单一斑点；该有色化合物熔点２８２．５９～２８３．２９℃，λＫＯＨｍａｘ：２１５ｎｍ，Ｅ１％１ｃｍ：３４８．７，肩峰：２５６ｎｍ，ｐＩ：３．５，对大肠杆菌、金黄葡萄球菌、巨大芽孢杆菌及枯草杆菌有较强的抑菌活性     

序半群的阿基米德半群的半格分解

本文通过一个序半群S上的一些二元关系以及它的理想的根集的性质该序半群是阿基米德半群的半格,特别地是阿基米德半群的链的刻划,证明了S是阿基米德链当且仅当S是准素的.通过序半群的m-系的概念,证明了S的任意半素理想是含它的所有素理想的交,并通过该结论,证明了S是阿基米德半群的链当且仅当S是阿基米德半群的半格且S的所有素理想关于集包含关系构成链.作为应用,该结论在一般的半群（没有序）[1]中也成立.     

图的中间图2-pebbling性质和Graham猜想

本文研究了图的2-pebbling性质和Graham猜想.利用图的pebbling数的一些结果,我们研究了路和圈的中间图具有2-pebbling性质,从而也证明了路的中间图满足Graham猜想.     

Vortex Counter-Current Chromatography: Performance of a New Preparative Column

A new preparative column for the vortex counter-current chromatograph was fabricated by making many (966) cylindrical separation units to a high-density polyethylene disk and then threading them with 6–40 taps. The resulting column had a total capacity of 364 mL. The performance of this vortex column was examined with three different two-phase solvent systems each using a set of suitable test samples: hexane–ethyl acetate–methanol–0.1 M hydrochloric acid (1:1:1:1, v/v) for the separation of DNP-amino acids; 1-butanol–acetic acid–water (4:1:5, v/v) for the separation of dipeptides; and hexane–acetonitrile–water (20:15:2, v/v) for the separation of Sudan dyes. Most of the separations show high partition efficiency of over a thousand theoretical plates, as expected based on the results previously obtained in preliminary separations with a small column. Overall, the results of the present study suggest that further improvement of the partition efficiency can be obtained by the modifying column configuration.