Necessary and sufficient conditions for exponential stability of a family of generalized Liénard differential equations

A class of generalized Liénard differential equations determined by prescribed bilateral bounds for the nonlinear terms is considered. Necessary and sufficient conditions for exponential stability of the system expressed in the indicated bounds are found. The results are compared with known sufficient stability conditions obtained via the Lyapunov function method.     

基于ASEGMF的旋转机械振动信号降噪方法研究

针对实测振动信号易受噪声污染而淹没有用信息的问题,提出一种基于自适应结构元素广义形态滤波(ASEGMF)方法对旋转机械振动信号进行降噪处理。首先,根据待分析信号的性质,选择正弦形结构元素,并定义了结构元素的长度尺度和高度尺度。其次,根据信号局部峰值特征,定义了峰值间隔和峰值高度,结合自适应方法得到了正弦结构元素的长度尺度和高度尺度。最后,采用一小一大自适应结构元素级联而成的广义形态滤波器对振动信号进行降噪处理。该方法克服了以往形态滤波器结构元素尺寸选择的随机性,完全根据信号局部峰值特征自适应地确定结构元素,消除了人为因素的影响。仿真和实例分析结果表明,自适应结构元素广义形态滤波具有更强的降噪性能,非常适合旋转机械故障的在线监测和诊断。     

Daubechies条件小波混合有限元法在梁计算中的应用

常规的Daubechies小波有限元法是以挠度为基本未知量的单变量有限元法,其弯矩函数需要通过挠度函数的二阶求导间接求解,故弯矩的计算精度一般比挠度低。此外,目前常用的Daubechies小波有限元法需要借助于转换矩阵引入位移边界条件,大大影响了计算精度。结合广义变分原理,将边界条件作为附加条件构造修正泛函,以该修正泛...     

基于广义回归神经网络的工程公司风险评估

针对工程公司日常管理中由于缺乏风险评估工具,经常造成公司资源的浪费,甚至造成大量损失的现状,结合其行业特点,构建风险评价体系模型。在模型的基础上,提出一种基于广义回归神经网络(GRNN)的工程公司风险评估方法,通过矩阵实验室中的神经网络工具对其进行仿真计算,以某安防系统工程公司的实例证明了其有效性。该研究为同类型公司的风险评估提供了一种有效的管理工具。     

噪声扰动下的广义时滞细胞神经网络稳定性分析

本文考虑到不可避免的噪声干扰,针对一类广义时滞细胞神经网络,引入随机扰动项,利用随机微分方程理论,It(o)积分性质及分析技巧,研究了该系统在噪声扰动下的稳定性问题,并分别给出了判定平衡点全局稳定及全局指数稳定的充分条件.其结果以不等式形式给出,便于结论验证.最后,本文给出了主要定理的一个实例,表明结论的有效性.     

法向应力和水压力作用下岩石单裂隙水力耦合模型

 为突出孔隙水压力对裂隙变形及其水力传导性能的影响,以经典的Biot孔隙弹性模型为基础,通过把裂隙视为一系列空隙的联合体,将广义的Biot有效应力系数扩展到岩石裂隙上。模型通过有效应力系数的引进,建立饱和裂隙在法向应力和孔隙水压力共同作用下的非线性本构方程,同时通过裂隙渗流的“立方定理”得到渗流流速与裂隙变形的关系以及裂隙法向应力作用下的水力耦合模型。模型中包含的4个参数均有其物理意义,并且可以通过裂隙力学压缩试验和渗流试验结果确定。与经典的太沙基有效应力原理不同,该模型中Biot有效应力系数是裂隙位移的函数,强调了不同位移状态下水压力作用效果的不同,突出了孔隙水压力与裂隙变形之间的相互影响。最后,针对不同孔隙水压力下裂隙渗流流速随法向应力变化的试验数据,用该模型对试验结果进行预测,初步证实该模型的准确性和适用性。     

Indentation creep behaviors of Mg61Cu28Gd11 and （Mg61Cu28Gd11）99.5Sb0.5 bulk metallic glasses at room temperature

The room temperature creep behaviors of Mg61Cu28Gd11 and(Mg61Cu28Gd11)99.5Sb0.5 bulk metallic glasses(BMGs) were revealed by means of nanoindentation technique.The creep mechanism was explored by characterization of creep rate sensitivity,creep compliance and retardation spectra.The results showed that the experimental creep curves could be well described by a generalized Kelvin model.The low creep rate sensitivity of both Mg-based BMGs indicated that their room temperature creep was dominated by localized shear flow.In addition,the(Mg61Cu28Gd11)99.5Sb0.5 glassy alloy exhibited lower creep rate sensitivity,creep compliance and milder retardation peak,indicating its higher creep-resistance and less relaxed state.Furthermore,the creep retardation spectrum consisted of two relatively separated peaks with the well defined characteristic relaxation times.     

A Lyapunov approach to the stability of fractional differential equations

Lyapunov stability of fractional differential equations is addressed in this paper. The key concept is the frequency distributed fractional integrator model, which is the basis for a global state space model of FDEs. Two approaches are presented: the direct one is intuitive but it leads to a large dimension parametric problem while the indirect one, which is based on the continuous frequency distribution, leads to a parsimonious solution. Two examples, with linear and nonlinear FDEs, exhibit the main features of this new methodology.     

Abnormal Basal Ganglia Functional Connectivity in Idiopathic Generalized Epilepsy

The basal ganglia have been implicated in a modulation role in idiopathic generalized epilepsy (IGE) by an invasive electrophysioigic means.This paper investigates the basal ganglia functional connectivity by using the region-wise functional connection analysis in resting-state functional magnetic resonance imaging (fMRi) in IGE.The increased functional connectivity within basal ganglia,and between the basal ganglia and the thalamus,and decreased functional connectivity between basal ganglia and motor cortex are found in IGE compared with the controls. These findings not only implicate dysfunctional integration in the motor loop in IGE and the enhanced interaction in the modulated loop,but also suggest that the basal ganglia modulate the generalized epileptic discharges with the influence over thalamus in the corticothalamus network.     

非均匀杂波MIMO雷达检测

本文针对非均匀杂波,利用球不变随机矢量(SIRV)建立了机载多输人多输出(MIMO)雷达杂波模型.基于杂波协方差矩阵不满秩,提出了一种用于估计归一化杂波协方差矩阵的修正渐近最大似然(MAML)算法及其广义似然比检测器,即修正渐近广义似然比检测器(MAGLRT).仿真试验结果表明,在非均匀的杂波下,MAGLRT较常规高斯...