类双线性系统的稳定性

本文综合利用ＬｙａｐｕｎｏｖＶ－函数，ＬａＳａｌｌｅ不变性原理和构造正向不变集的方法，讨论了二维齐次状态双线性系统（１）的全局Ｌｙａｐｕｎｏｖ渐近稳定性，发展了文［１］［２］的结果。     

多变量广义系统H^∞最优敏感性控制器设计

本文为带有脉冲模的广义系统最优敏感性控制器设计提出了一种新方法。方法先将敏感性函数解耦,然后利用单变量H~∞控制理论对解耦的加权敏感性函数进行优化,最后得出最优控制器使加权敏感性最优且敏感性函数解耦,文章针对广义系统特点研究了向量相对阶次的性质,完善了文献有关相对阶次性质的理论,利用该性质分析了控制器能消除广义系统脉冲模的条件,并证明了该方法所设计的控制器是可实现的,能在像广义系统闭环稳定及无脉冲模的条件下,保证闭环系统解耦加权敏感性趋于最优。最后文章给出了设计算例以说明设计过程。     

Acoustic scattering from multiple spheres by using a kind of addition formulae for the spherical wave functions

A kind of addition formulae for the spherical wave functions is generated by using the bicentric expansion of Green function in spherical coordinates. For an acoustical system with multiple spheres, the addition formulae permit the field expansions all referred to the center of one of the spheres, whose boundary conditions can be consequently used to study the multiple scattering easily. The two-sphere acoustical system with different boundary conditions is considered and the field scattered by each sphere can be obtained by solving an infinite set of two linear, complex, algebraic equations, whose coefficients are coupled through double sums in the spherical wave functions. Finally, the form functions of two spheres insonified by a plane wave at arbitrary angles of incidence are calculated and the addition formulae presented are validated by comparing the corresponding numerical results with those of the existing literature.     

一类三参数混沌动力学系统模型及其在经济增长研究中的应用

从非线性自回归模型Xt+1=-αXtλ+1+βXt+γ出发,通过变量替换Xt=aYt,推出三参数混沌动力学系统模型Yt+1=kYt(1-Ytλ)+c;采用线性回归与非线性回归相结合的改进的混合法,对模型参数作了估计;实际研究表明,该模型可以用于对国内生产总值GDP增长的研究.     

一类拟线性大系统的稳定性

本文应用大系统的分解方法和一个推广的不等式,研究了一类拟线性大系统的稳定性问题,所得结果简洁、易于验证,且推导过程不复杂,最后给出了应用实例。     

一类退化半导体方程弱解存在性的研究

文章研究了当■(s)=sm(m>1),b(s)=s2和初值为u0,v0∈L 2(Ω)时一类退化半导体方程弱解的存在性．文章首先将原问题正则化,然后对正则化问题在L 2(Ω)空间上做出了有界估计,最后利用收敛性得到了问题的结论．     

微纳米加工技术及其应用综述

材料与结构在微纳米尺度展现了许多不同于宏观尺度的新特征，纳米技术已经成为当前科学研究与工业开发的热门领域之一。微小型化依赖于微纳米尺度的功能结构与器件，实现功能结构微纳米化的基础是先进的微纳米加上技术，文章对微纳米加上技术做了一个综合的介绍，简要说明了微纳米加工技术与传统加工技术的区别，在微纳米加工技术的应用方面提出了一些合理选择加工技术的原则，并对当前微纳米加工技术面临的挑战和今后发展的趋势作了预测。     

β缓发中子探测阵列的性能优化及测试

讲述了用于β缓发中子发射测量的中子探测阵列的性能优化过程及测试结果. 对中子探测器包装用的几种反射材料、光导和光电倍增管之间用的几种耦合材料行了系统的对比和研究. 为了优化电子学和实时监测整个探测阵列的工作状态, 引入了LED光纤刻度监测系统.     

Synchronization of Chaotic Storage-Ring Free-Electron Laser by Bi-Directional Coupling Scheme with the Coupling Strength Varied Periodically

We analyse the chaotic dynamics of storage-ring free-electron lasers and report a bi-directional coupled scheme with the coupling strength varied periodically to synchronize two chaotic storage-ring free-electron lasers. The period is the same as the period of system＇s external modulation. ,The possibility of synchronization is proven according to the Lyapunov stability theory. The results of numerical simulation are obtained. Both the numerical simulation and theoretic analysis show that two storage-ring free-electron lasers can be controlled in the synchronization in a short time with this method.