线性时滞系统实用稳定性的一个简明判据

利用比较的方法，获得了线性时滞系统实用稳定性的一个简单判定定理．     

等式约束优化的组合信赖域与拟牛顿算法

本文对等式约束问题提出了一个种组合信赖域与拟牛顿算法。该算法的特点是若Lagrangian函数的近似Ｈessian阵在等式约束Jacobi阵的零空间正定的,则选择拟牛顿算法,否则用信赖域算法,在通常信赖域算法的收敛假设下,该文证明了组合算法的全局收敛性。     

Sample-path conservation laws,with applications to scheduling queues and fluid systems

The achievable-region approach, based on strong conservation laws, has most often been applied to stochastic scheduling and other control problems in the context of performance measures that are steady-state expected quantities. For some problems, however, strong conservation laws hold for performance measures at every time point on every sample path. We exploit this property to study optimal control for certain scheduling problems on a sample-path basis. Examples include preemptive scheduling to minimize a weighted sum of work in the system in each class, nonpreemptive scheduling to minimize a weighted sum of the number of customers in each class (when all classes have the same service-time distribution), and scheduling the processing of fluid in a multiclass fluid system operating in a random environment. The last problem is solved by considering the related Skorohod problem and its minimal solution. This revised version was published online in June 2006 with corrections to the Cover Date.     

一类物元可拓集的性质研究

提出了物元等价类概念,并利用子集合X和属性子集R对物元集合S(U,A,V,f)在集合论域U上构造了一类可拓集合A~,并讨论了A~关于X和R的一些相关性质.     

A new adaptive trust region algorithm for optimization problems

It is well known that trust region methods are very effective for optimization problems. In this article, a new adaptive trust region method is presented for solving unconstrained optimization problems. The proposed method combines a modified secant equation with the BFGS updated formula and an adaptive trust region radius, where the new trust region radius makes use of not only the function information but also the gradient information. Under suitable conditions, global convergence is proved, and we demonstrate the local superlinear convergence of the proposed method. The numerical results indicate that the proposed method is very efficient.     

强反型区下纳米MOSFET的射频噪声机理分析

为了有效地表征纳米MOSFET强反型区下的射频噪声特性,研究了其噪声建模的方法。在分析45 nm MOSFET射频小信号等效电路参数提取结果的基础上,建立了该器件漏极电流噪声的简洁模型。该模型完整地表征了决定45 nm器件噪声机理的三个组成部分：本征漏极电流噪声、栅极管脚寄生电阻热噪声和栅漏衬底寄生电磁耦合噪声。噪声测量在验证所建模型准确性和精度的同时,还表明：45 nm MOSFET的本征漏极电流噪声为受抑制的散粒噪声,并且随着栅源偏压的降低受抑制性逐渐减弱直至消失。     

核实数据下响应变量缺失的线性EV模型经验似然推断

考虑响应变量随机缺失而协变量带有误差的线性模型,借助于核实数据和借补方法,构造了回归系数的两种经验似然比,证明了所提出的估计的经验对数似然比渐近于一个自由度为1的独立χ2变量的加权和;而经调整后所得的调整经验对数似然比渐近于自由度为p的χ2分布,该结果可以用来构造未知参数的置信域.此外,我们也构造了响应均值的调整经验对数似然比统计量,并证明了所提出的统计量渐近于x2分布,可用此结果构造响应均值的置信域.通过模拟研究比较了置信域的精度及其平均区间长度.     

超导Tl2Ba2CaCu2O8+x 薄膜的太赫兹复电导率的提取

采用低温太赫兹时域光谱系统, 测试了高温超导 Tl2Ba2CaCu2O8+x 薄膜的太赫兹透射谱, 并提取了它在不同温度下的太赫兹电导率. 研究过程中发现提取后的参数存在电导率随频率波动大、与理论值偏差较大等问题.通过对基片厚度和太赫兹波入射角度的误差对高温超导薄膜电导率的影响进行了分析, 结果表明导致数据波动大是由于基片厚度的偏差引起的. 针对厚度差的影响, 一种矫正方法被提出, 通过对厚度的修正, 提高了数据提取的质量.     

染料敏化TiO2/WO3薄膜电池的光电变色

用光电化学方法研究了染料Ru(П) (4, 4′di COOEt 2, 2′bpy)2 (2, 2′bpy 4, 4′di CONH L tyrosineethylester) (PF6)2 (简写为Ru4)敏化TiO2 纳米结构电极的光电转换过程,同时,在导电玻璃上电沉积得到WO3 薄膜.结果表明,染料敏化的TiO2 多孔膜具有光电转换性能, WO3 薄膜具有良好的电致变色效应,将前者与电沉积得到的WO3 薄膜组成电池,在白光照射下可产生显著的颜色变化,有望用于自供电源的电色灵巧窗(Self poweredsmartwindow).     

斜坡补偿电流模式控制开关变换器的动力学建模与分析

降压型、升压型和升压-降压型DC-DC变换器是应用广泛的基本开关DC-DC变换器.电流模式控制开关DC-DC变换器在较宽的电路参数范围内具有两个边界,基于开关切换前后电感电流的上升和下降斜率,建立了斜坡补偿电流模式控制开关DC-DC变换器的统一模型.该模型进行无量纲归一化处理后只有三个参数,可有效展示开关DC-DC变换器在电感电流连续传导模式(CCM)和电感电流不连续传导模式(DCM)时的动力学特性.利用此模型,导出了轨道状态发生转移时的两个分界线方程,由此确定了开关DC-DC变换器的稳定周期1域、CCM鲁棒混沌域和DCM弱混沌强阵发域三个工作状态区域.开关DC-DC变换器二维参数映射图和电流模式控制降压型DC-DC变换器的电路实验观察验证了由两条分界线划分工作状态域的正确性.