完美匹配树的谱半径

设G为n阶简单图，λ1（G）为图G的诸半径，本文证明了：λ1（T）≤λ1等号成立，这里T为具有完美匹配的2q阶树．T*是从星图K1，q-1的每个顶点都接出一条悬挂边而得的2q阶树．     

一类算子方程解的存在与唯一性

论证了非线性算子方程Ａ（ｘ，…，ｘ）＝ｘ在Ｂａｎａｃｈ空间锥中之解的存在性与唯一性。     

迭代矩阵特征值模的界

在用迭代法解线性方程组时,迭代矩阵的谱半径估计在迭代法的收敛性分析中起着重要的作用。该文对一类Baily-Crabtree型对角占优矩阵M,给出了迭代矩阵M-1 N的特征值模的上下界估计。并以此为基础,在一定条件下给出了当M是α-严格对角占优矩阵时的M-1 N的特征值模的上下界估计。并以具体例子说明了所得结果的有效性。     

Method for Analog Circuit Soft-Fault Diagnosis and Parameter Identification Based on Indictor of Phase Deviation and Spectral Radius

The soft fault induced by parameter variation is one of the most challenging problems in the domain of fault diagnosis for analog circuits. A new fault location and parameter prediction approach for soft-faults diagnosis in analog circuits is presented in this paper. The proposed method extracts the original signals from the output terminals of the circuits under test (CUT) by a data acquisition board. Firstly, the phase deviation value between fault-free and faulty conditions is obtained by fitting the sampling sequence with a sine curve. Secondly, the sampling sequence is organized into a square matrix and the spectral radius of this matrix is obtained. Thirdly, the smallest error of the spectral radius and the corresponding component value are obtained through comparing the spectral radius and phase deviation value with the trend curves of them, respectively, which are calculated from the simulation data. Finally, the fault location is completed by using the smallest error, and the corresponding component value is the parameter identification result. Both simulated and experimental results show the effectiveness of the proposed approach. It is particularly suitable for the fault location and parameter identification for analog integrated circuits.     

关于线性中立型时滞系统稳定性代数准则的一个注记

研究了线性时滞中立型微分系统的渐近稳定性, 基于系统的特征方程, 利用恰当的模矩阵、谱半径和矩阵乘法公式导出了新的时滞无关的稳定性准则, 例子表明所给准则的有效性和较低的保守性.