基于梯形二维语言变量相似度的多属性群决策方法

针对评价信息为梯形二维语言变量的多属性群决策问题,提出了一种新的梯形二维语言变量的相似性测度并探讨其性质;基于相似性测度最大化准则构建了两个优化模型以分别求解多属性群决策问题中的专家权重和属性权重,进而提出一种新的基于梯形二维语言变量相似性测度的多属性群决策方法;最后通过实例验证了新方法的合理性和有效性.     

模糊最短路问题的一种新算法

作者讨论了从一个指定点到另一个指定点的最短路问题,其弧长都是不精确的模糊数.利用模糊数的某种序关系,作者提供了一种新算法来处理模糊最短路问题,该算法由基于中心点的模糊数比较方法构成,基于中心点的模糊数比较方法可找到模糊最短路长,并获得相应的模糊最短路径.作者给出了4个解释性的实例并验证了算法的可行性.     

Global robust optimal sliding mode control for uncertain affine nonlinear systems

The problem of robustifying linear quadratic regulators (LQRs) for a class of uncertain affine nonlinear systems is considered. First, the exact linearization technique is used to transform an uncertain nonlinear system into a linear one and an optimal LQR is designed for the corresponding nominal system. Then, based on the integral sliding mode, a design approach to robustifying the optimal regulator is studied. As a result, the system exhibits global robustness to uncertainties and the ideal sliding mode dynamics is the same as that of the optimal LQR for the nominal system. A global robust optimal sliding mode control (GROSMC) is realized. Finally, a numerical simulation is demonstrated to show the effectiveness and superiority of the proposed algorithm compared with the conventional optimal LQR.     

有关高阶Apostol-Bernoulli多项式与Stirling数的一些恒等式

使用发生函数方法和计算技巧,建立起高阶Apostol-Bernoulli 多项式与第1类Stirling数之间的恒等式,得到关于高阶Apostol-Bernoulli多项式、高阶Apostol-Bernoulli数等的计算公式.     

基于输出反馈的网络化控制系统鲁棒容错控制

研究一类具有时延不确定性网络化控制系统的鲁棒容错控制问题.基于网络化控制系统时延模型,应用Lyapunov稳定性理论和LMI方法,采用输出反馈控制策略,推证出保证闭环网络化控制系统在执行器或传感器发生失效故障时仍渐进稳定的的充分条件,给出容错控制器的设计方法,最后以仿真算例得到系统零状态响应曲线,分析曲线所得结论说明此方法的可行性和有效性.     

基于综合扩展优势度排序L-R型模糊数的方法

根据决策者的偏好及L-R型模糊数的左、右扩展优势度定义该类型模糊数综合扩展优势度,再依据综合扩展优势度,计算每个模糊数相对于其它模糊数综合优势度的几何平均值,以确定模糊数的排序向量,提出一种基于综合扩展优势度排序L-R型模糊数的方法,并用算例进行检验．算例验证表明,该方法在一定程度上克服了现有模糊数排序方法存在的缺陷．     

Strong stability of linear forms in φ -mixing random variables

In this paper some new results of strong stability of linear forms in φ-mixing random variables are given. It is mainly proved that for a sequence of φ-mixing random variables {x _n , n ⩾ 1} and two sequences of positive numbers {a _n , n ⩾ 1} and {b _n , n ⩾ 1} there exist d _n ∈ R, n = 1,2,L, such that a.s. under some suitable conditions. The results extend and improve the corresponding theorems for independent identically distributed random variables. Foundation item: Supported by the National Natural Science Foundation of China(10671149)     

由鞅差序列生成的线性过程的Baum-Katz大数定律的精确渐近性

主要讨论了线性过程Xt=∑∞j=0ajεt-j,其中{εt,Ft;t∈Ζ}是均值为零,方差有限的平稳鞅差序列,aj,j∈Ζ是绝对可和的实数序列.令Sn=∑nt=1Xt,n≥1,在适当矩的条件下,利用部分和Sn的收敛性,对于1≤p2,若supj≥1Eεjδ＆lt;∞,证明了∑∞n=1nr/p-2P｜Sn｜≥εn1p,∑∞n=1n-1/P｜Sn｜≥εn1/p当ε→0时的精确渐进性.在鞅差序列的前提下,进一步推广了线性过程的Baum-Katz大数律的精确渐近性性质.     

《离骚》教学之我见

屈原的《离骚》在文学史上的地位和影响是独特的,深远的。对执教者来说,解读《离骚》面临诸多需要搞清楚的问题,我认为最要紧的则是以《史记》为基本线索,找准疑点,解决学术问题;突破难点,挖掘思想意义;把握重点,认识文学价值。     

Robust H2 control for uncertain sampled-data systems

A new approach is proposed for robust H2 problem of uncertain sampled-data systems. Through introducing a free variable, a new Lyapunov asymptotical stability criterion with less conservativeness is established. Based on this criterion, some sufficient conditions on two classes of robust H2 problems for uncertain sampled-data control systems are presented through a set of coupled linear matrix inequalities, Finally, the less conservatism and potential of the developed results are illustrated via a numerical example.