Local-global double algebras for slow H{infty} adaptation; the case of l2 disturbances

In this paper, a common algebraic framework is described forthe frozen-time analysis of stability and H optimization inslowly time-varying systems, based on the notion of a normedalgebra on which local and global products are defined. Relationsbetween local stability, local (near) optimality. local coprimefactorization, and global versions of these properties are sought.The framework is valid for time-domain disturbances in l² (Z)^R. The first part of the paper elaborates the double-algebra conceptfor Volterra operators which approximately commute with theshift. The main algebraic properties and norm inequalities aresummarized. Local conditions for global inveribility are obtained.Classical frozen-time stability conditions are incorporatedin relations between local and global spectra. The paper continuesby establishing an explicit formula linking global and localsensitivity for systems with stable plants, where local sensitivityis a Lipschitz continuous function of data. Frequency-domainestimates of time-domain sensitivity norms. which become accurateas rates of time-variation approach zero, are obtained. Notionsof adaptive versus nonadaptive (robust) control are introduced.It is shown that adaptive control can achieve better sensitivitythan optimal nonadaptive control. It is demonstrated by an examplethat, in general, H-optimal interpolants do not depend Lipschitz-continuouslyon data. However, -suboptimal interpolants of the AAK central(maximal entropy) type are shown to satisfy a tractable Lipschitzcondition.     

电子光学教学实验的开发

介绍利用单踪示波器的阴极射线管,结合模拟软件,开展电子光学实验教学的教学内容设计和教学实践情况.电子光学实验教学的开展有利于学生掌握相关知识和研究方法,受到学生欢迎.     

运输密度和时间对拟目乌贼受精卵孵化的影响

为探究拟目乌贼受精卵长途运输的最佳条件,通过单因子试验研究了受精卵运输密度及运输时间对拟目乌贼受精卵孵化的影响.结果表明：运输密度对孵化率、幼体成活率、初孵幼体体重及卵黄完全吸收率均有显著影响(P＜0.05),各项指标均随着密度的增加而降低;运输时间对受精卵孵化也有显著影响(P＜0.05),各项指标也随着时间的增加而降低.因此建议运输密度为100~300 ind·L-1,运输时间为36 h以内.     

自制简易吸尘器

利用身边易得的材料,如可乐瓶、铜线、单摆球等,根据静电原理自制了简易吸尘器.介绍了该装置的制作和使用方法.     

关于Diophantine方程(n+1)+(n+2)y=nz

设n是正整数.本文证明了:方程(n+1)+(n+2)y=nz仅当n=3时有正整数解(y,z)=(1,2).     

室温下金刚石薄膜上沉积立方氮化硼薄膜的研究

采用射频磁控溅射技术分别在纳米与微米金刚石薄膜上制备立方氮化硼(c- BN)薄膜.金刚石薄膜由拉曼光谱(Raman)及原子力显微镜(AFM)进行表征.采用傅立叶变换红外光谱(FTIR)研究了不同沉积温度对c- BN薄膜生长的影响,结果表明在金刚石薄膜上生长c- BN不存在温度阈值,室温下生长的c- BN含量可达70;以上.当沉积温度由室温向上升高时,对于纳米金刚石薄膜衬底上生长的BN薄膜而言,其中的立方相含量反而逐渐降低.此外,随着沉积温度的降低,c- BN对应的峰位向低波数方向偏移的现象表明低温下生长的c- BN薄膜内应力较小.文中探讨了产生此现象的原因.     

一类递推数列的周期性

设k,m是适合k>2的正整数,p=2cos(2π)/k.本文证明了:如果数列A={an}n=0∞满足递推关系an+2m=pan+m-an(n≥0),则A是周期数列,它的最小正周期是km的约数.另外,给出了最小正周期小于km的非零数列的例子.     

基于市场资金流向分析的商品期货量化交易策略

本文就第五届"泰迪杯"数据挖掘挑战赛A题"基于市场资金流向分析的商品期货量化交易策略"给出了一种分析方法,并针对学生在参赛论文中出现的问题作了简要的说明与点评。     

MsFEM `a la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems

We introduce and analyze a multiscale finite element type method (MsFEM) in the vein of the classical Crouzeix-Raviart finite element method that is specifically adapted for highly oscillatory elliptic problems. We illustrate numerically the efficiency of the approach and compare it with several variants of MsFEM.     

Solving a Class of Linearly Constrained Indefinite Quadratic Problems by D.C. Algorithms

Linearly constrained indefinite quadratic problems play an important role in global optimization. In this paper we study d.c. theory and its local approachto such problems. The new algorithm, CDA, efficiently produces local optima and sometimes produces global optima. We also propose a decomposition branch andbound method for globally solving these problems. Finally many numericalsimulations are reported.