Robust stability for stochastic interval delayed Hopfield neural networks

A type of stochastic interval delayed Hopfield neural networks as du(t) = [-AIu(t) WIf(t,u(t)) WIτf7τ(uτ(t)] dt σ(t, u(t), uτ(t)) dw(t) on t≥0 with initiated value u(s) = ζ(s) on - τ≤s≤0 has been studied. By using the Razumikhin theorem and Lyapunov functions, some sufficient conditions of their globally asymptotic robust stability and global exponential stability on such systems have been given. All the results obtained are generalizations of some recent ones reported in the literature for uncertain neural networks with constant delays or their certain cases.     

The Asymptotic Properties of Scad Penalized Generalized Linear Models with Adaptive Designs

This paper discusses the asymptotic properties of the SCAD (smoothing clipped absolute deviation) penalized quasi-likelihood estimator for generalized linear models with adaptive designs, which extend the related results for independent observations to dependent observations. Under certain conditions, the authors proved that the SCAD penalized method correctly selects covariates with non-zero coefficients with probability converging to one, and the penalized quasi-likelihood estimators of non-zero coefficients have the same asymptotic distribution they would have if the zero coefficients were known in advance. That is, the SCAD estimator has consistency and oracle properties. At last, the results are illustrated by some simulations.

     

基于强跟踪滤波器的改进非线性自适应观测器

对基于强跟踪滤波器的非线性自适应观测器(nonlinearadaptiveobserver,NAO)的收敛性进行了分析,给出了NAO局部渐近收敛的充分条件。提出了一种改进非线性自适应观测器(modifiednonlinearadaptiveobserver,MNAO)算法。MNAO在具有强跟踪特性的同时对输出测量中的坏数据有较强的鲁棒性。为了降低对初始误差的敏感性,采用一种强跟踪扩展卡尔曼观测器算法启动MNAO。数值仿真示例显示了本方法的有效性。     

时滞细胞神经网络的全局渐近鲁棒稳定性分析

针对一类具有时滞的细胞神经网络系统,利用新的Lyapunov Krasovskii函数,给出了系统全局渐近鲁棒稳定的时滞相关稳定性条件。其结果以线性矩阵不等式的形式给出,可以很容易求出系统稳定的时滞上界。进而可以很容易得到时滞无关稳定性结果,且该结果包含了现有文献中许多关于时滞无关稳定性分析的结果。数值算例说明了结论的有效性。     

推广的$M^x$/G(M/G)/1(M/G)可修排队系统(Ⅱ)—— 一些可靠性指标

进一步研究推广的$M^x$/G(M/G)/1(M/G)可修排队系统,讨论了服务台如下的可靠性问题:1)在时刻t失效的概率,即不可用度;2)在“服务员忙期”内的失效次数;3)在(0,t]内的平均失效次数及其渐近展开;4)在“服务员忙期”内的失效时间;5)在(0,t]内的平均失效时间及其渐近展开,得到一系列结果,并给出了便于计算(0,t]内的平均失效次数和平均失效时间的近似式.     

推广的M~x/G(M/G)/1(M/G)可修排队系统(Ⅱ)—— 一些可靠性指标

进一步研究推广的MxG(MG)1(MG)可修排队系统,讨论了服务台如下的可靠性问题:1)在时刻t失效的概率,即不可用度;2)在“服务员忙期”内的失效次数;3)在(0,t]内的平均失效次数及其渐近展开;4)在“服务员忙期”内的失效时间;5)在(0,t]内的平均失效时间及其渐近展开,得到一系列结果,并给出了便于计算(0,t]内的平均失效次数和平均失效时间的近似式     

需求稀少情况下随机动态装卸混合问题研究

针对随机动态装卸混合问题中存在的排队现象,运用排队论推导出需求稀少情况下随机动态装卸混合问题期望系统时间的下界;提出了一种实时优化策略——多车场随机队列中位策略;推导出需求稀少情况下,多车场随机队列中位策略和实际应用中广泛采用的随机队列中位策略的期望系统时间,并分析了期望系统时间的渐近性.模拟计算结果表明,需求稀少情况下,多车场随机队列中位策略明显优于随机队列中位策略;当服务强度趋于零时,多车场随机队列中位策略近似为最优策略.     

ON THE SPECTRUM OF THE LINEAR TRANSPORT OPERATOR IN L~P SPACE

InthispaperweinvestigatethespectrumofthetransportoperatorA:Aam=Bac KegwhereBac=--aam(x,v,p)--vZ(x,v)op(x,v,p),Keg=11,joank(x,yip;V',p')op(x,v',p')dp'dy',D(A)={op(x,v,p)ELP(G):;;:t--:,y::op(a,v,--p)=0,for0相似文献   

ON WEIGHTED RANDOMLY TRIMMED MEANS

A class of robust location estimators called weighted randomly trimmed means are introduced and not only their consistency and asymptotic normality are proved, but their influence functions, asymptotic variances and breakdown points are also derived. They possess the same breakdown points as the median, and some of them own higher asymptotic relative efficiencies at the heavy-tailed distributions than some other well-known location estimators; whereas the trimmed means, Winsorized means and Huber＇s M-estimator possess higher asymptotic relative efficiencies at the light-tailed distributions, in which Huber＇s M-estimator is the most robust.     

ASYMPTOTIC STABILITY OF SOLUTION TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR SCALAR VISCOUS CONSERVATION LAWS CORRESPONDING TO RAREFACTION WAVES

1.IntroductionWeconsidertheinitial-boundaryvalueproblem(IBVP)forscalarviscousconservationlaw(ut f(u).=uxx,xE(0, co)=R ,t>0,o,(n \--9,ifI~9,f~M(IBVP){u(0't)=u~(t)-1~i---t:7),[u(x,0)=u000={=:0)f:LO .,wheref"(u)>0foralluunderconsideration,andu--u (1.1),andu~(t)~u~EL'(R ),U'(t)EL'(R ).(1.2)Undercondition(1.l)or(l.l)',thecorrespondingRiemannproblem{;;ot:<:>;i,>=x{,:3'f:,:(13)yieldstherarefaCtionwavesolution(u~)x5f'(u~)t,r"(X,t)=17j,)~1(…     

An Additive Hazards Model for Clustered Recurrent Gap Times

In this article, clustered recurrent gap time is investigated. A marginal additive hazards model is proposed without specifying the association of the individuals within the same cluster. The relationship among the gap times for the same individual is also left unspecified. An estimating equation-based inference procedure is developed for the model parameters, and the asymptotic properties of the resulting estimators are established. In addition, a lack-of-fit test is presented to assess the adequacy of the model. The finite sample behavior of the proposed estimators is evaluated through simulation studies, and an application to a clinic study on chronic granulomatous disease (CGD) is illustrated.     

基于扩张状态观测器的航天器时延状态反馈控制

研究了刚性航天器的时延姿态稳定控制问题。首先建立了基于修正罗德里格斯参数(modified rodrigues parameters, MRPs)的航天器非线性状态模型,具有确定上界的时延项在状态反馈控制律中体现。通过构造Lyapunov Krasovskii 泛函进行稳定性分析,由此得到保证系统渐近稳定的线性矩阵不等式,依此设计状态反馈控制系数矩阵。考虑到航天器三轴间的耦合非线性项,利用扩张状态观测器(extended state observer, ESO) 方法,设计了二阶非线性扩张状态观测器,以获得航天器系统内部状态向量并用于状态反馈控制律。为便于工程实际应用,仿真中将MRPs响应输出转换为欧拉角响应,仿真结果表明,本文所设计的控制系统能保证航天器三轴姿态稳定。     

Transient Analysis of a Two-Heterogeneous Severs Queue with Impatient Behaviour and Multiple Vacations

We consider an M/M/2 queueing system with two-heterogeneous servers and multiple vacations. Customers arrive according to a Poisson process. However, customers become impatient when the system is on vacation. We obtain explicit expressions for the time dependent probabilities,mean and variance of the system size at time t by employing probability generating functions, continued fractions and properties of the modified Bessel functions. Finally, two special cases are provided.     

Finite-time ruin probability with NQD dominated varying-tailed claims and NLOD inter-arrival times

In 2007, Chen and Ng investigated infinite-time ruin probability with constant interest force and negatively quadrant dependent and extended regularly varying-tailed claims. Following this work, the authors obtain a weakly asymptotic equivalent formula for the finite-time and infinite-time ruin probability with constant interest force, negatively quadrant dependent, and dominated varying-tailed claims and negatively lower orthant dependent inter-arrival times. In particular, when the claims are consistently varying-tailed, an asymptotic equivalent formula is presented. This research is supported by the National Science Foundation of China under Grant No. 10671139.     

Asymptotic Properties of Maximum Quasi-Likelihood Estimators in Generalized Linear Models with Diverging Number of Covariates

In this paper, for the generalized linear models (GLMs) with diverging number of covariates, the asymptotic properties of maximum quasi-likelihood estimators (MQLEs) under some regular conditions are developed. The existence, weak convergence and the rate of convergence and asymptotic normality of linear combination of MQLEs and asymptotic distribution of single linear hypothesis test statistics are presented. The results are illustrated by Monte-Carlo simulations.     

Some New Results for M/G/1 and GI/G/1 Queues

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DBN结构学习度量分解性能分析

针对动态贝叶斯网络(DBN)结构学习中涉及的度量分解问题,提出了DBN度量分解后的相关性能。首先,细化了DBN的贝叶斯信息度量(BIC)及贝叶斯-狄里克莱(BD)度量公式,通过表达式的分析,讨论了分解后的相关性质,进而提出了由分解公式提供给DBN结构学习的相关性能。其次,通过设计的性能分析仿真实验,验证了提出的若干设想,即将BN结构学习算法移植到DBN结构学习的可行性及分解降低算法复杂度等问题,并提出了寻找DBN快速结构学习算法的有效思路。     

A Transport Protocol and Its Formal Description for Local Networks

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模糊蕴涵算子的性质和合成推理算法的扩展

讨论34个模糊蕴涵算子是否满足10个性质,得到5个t算则和5个s算则,提出并证明与圈乘算子性质相关的3个命题.通过选用不同的t算则和s算则获得合成推理算法的8种新形式.     

LMI approach to reliable H∞ control of linear systems

The reliable design problem for linear systems is concerned with. A more practical model of actuator faults than outage is considered. An LMI approach of designing reliable controller is presented for the case of actuator faults that can be modeled by a scaling factor. The resulting control systems are reliable in that they provide guaranteed asymptotic stability and H∞ performance when some control component (actuator) faults occur. A numerical example is also given to illustrate the design procedure and their effectiveness. Furthermore, the optimal standard controller and the optimal reliable controller are compared to show the necessity of reliable control.