周期系数线性系统的稳定性

利用柯西矩阵的性质,讨论了周期系数线性矩阵的稳定性问题.将矩阵稳定的条件减弱为拟稳定,利用矩阵的不等式运算性质,得到了各种周期系统平凡解稳定的判据,所得结论,推广了现有文献的结论.最后,利用Matlab模拟仿真,验证了所得结果的可行性.     

Effect of Graphene Nanoplatelets addition on mechanical properties of pure aluminum using a semi-powder method

In recent years, graphene has attracted considerable research interest in all fields of science due to its unique properties. Its excellent mechanical properties lead it to be used in nano-composites for strength enhancement. This paper reports an Aluminum–Graphene Nanoplatelets(Al/GNPs)composite using a semi-powder method followed by hot extrusion. The effect of GNP nano-particle integration on tensile, compressive and hardness response of Al is investigated in this paper. It is demonstrated that 0.3 wt% Graphene Nanoplatelets distributed homogeneously in the matrix aluminum act as an effective reinforcing filler to prevent deformation. Compared to monolithic aluminum(in tension), Al–0.3 wt% GNPs composite exhibited higher 0.2% yield strength(+14.7%), ultimate tensile strength(+11.1%) and lower failure strain( -40.6%). Surprisingly, compared to monolithic Al(in compression), Al–0.3 wt% GNPs composite exhibited same 0.2% compressive yield strength and lower ultimate compression strength(- 7.8%),and lower failure strain(- 20.2%). The Al–0.3 wt% GNPs composite exhibited higher Vickers hardness compared to monolithic aluminum(+11.8%).Scanning electron microscopy(SEM), Energy-Dispersive X-ray Spectroscopy(EDS) and X-ray diffraction(XRD) were used to investigate the surface morphology, elemental percentage composition, and phase analysis, respectively.     

正态随机矩阵的MTP2性质

给出了正态随机矩阵的定义和一些相关性质,并将正态向量的多元全正二序(MTP2)性质的结论推广到正态随机矩阵.得到随机矩阵和它的任意行向量均满足MTP2的等价关系,以及正态随机样本矩阵为MTP2当且仅当总体的逆协方差阵为M-矩阵等结论.     

Ho∞-based fault detection for nonlinear networked systems with random packet dropout and probabilistic interval delay

The fault detection problem for the nonlinear networked control system (NCS) with packet dropout and delay is investigated.A nonlinear stochastic system model is proposed to account for the NCS with random packet dropout and networkinduced non-uniformly distributed time-varying delay in both from sensor to controller (S/C) and from controller to actuator (C/A).Based on the obtained NCS model,employing an observer-based fault detection filter as the residual generator,the addressed fault detection problem is converted into an auxiliary nonlinear H∞ control problem.Then,with the help of Lyapunov functional approach,a sufficient condition for the desired fault detection filter is constructed in terms of certain linear matrix inequalities,which depend on not only the delay interval but also the delay interval occurrence rate and successful packet communication rate.Especially,a trade-off phenomenon between the maximum allowable delay bound and successful data packet transmission rate is found,which is typically resulted from the limited bandwidth of communication networks.The effectiveness of the proposed method is demonstrated by a simulation example.     

可纠错pooling设计的一个构作

一个非时序性群试(NGT)算法在DNA筛选等领域都有重要应用,而NGT算法的一个数学模型是d-disjunct矩阵.通过Bd(δ**(n,d,k))的Hamming距离构作一个d-disjunct矩阵,其中δ**(n,d,k)是在δ(n,d,k)的基础上加上δc(n,α,k)构成的,1≤α≤m+1且α∈Z;证明了所构作的矩阵是可纠正1个错误、检测2个错误的d-disjunct矩阵.     

Dirichlet空间上对偶Hankel算子的乘积

在Dirichlet空间上研究当对偶Hankel算子与共轭对偶Hankel算子乘积为零时，函数符号的性质关系．借助Bergman空间的相关理论知识，对函数符号进行分解，得到了关于解析函数符号的对偶Hankel算子母与共轭对偶Hankel算子Rg^＊乘积为零时的充要条件．     

H_∞-based fault detection for nonlinear networked systems with random packet dropout and probabilistic interval delay

The fault detection problem for the nonlinear networked control system(NCS) with packet dropout and delay is investigated.A nonlinear stochastic system model is proposed to account for the NCS with random packet dropout and networkinduced non-uniformly distributed time-varying delay in both from sensor to controller(S/C) and from controller to actuator(C/A).Based on the obtained NCS model,employing an observer-based fault detection filter as the residual generator,the addressed fault detection problem is converted into an auxiliary nonlinear H∞ control problem.Then,with the help of Lyapunov functional approach,a sufficient condition for the desired fault detection filter is constructed in terms of certain linear matrix inequalities,which depend on not only the delay interval but also the delay interval occurrence rate and successful packet communication rate.Especially,a trade-off phenomenon between the maximum allowable delay bound and successful data packet transmission rate is found,which is typically resulted from the limited bandwidth of communication networks.The effectiveness of the proposed method is demonstrated by a simulation example.     

基于用户移动行为相似性聚类的Markov位置预测

由于采集点丢失或出现新用户等原因,GPS轨迹数据往往具有稀疏性,使得基于单个用户数据的位置预测准确率较低.针对这种情况,提出了基于移动行为相似性和用户聚类的Markov位置预测方法.首先,基于Voronoi图和原始GPS轨迹进行区域划分,位置预测基于区域轨迹进行;其次,提出了同时考虑用户转移特性和用户区域特性的移动行为相似性计算方法;再次,根据移动行为相似性对用户进行聚类,并在聚类的用户组上采用一阶Markov模型进行位置预测,提高了位置预测的准确性.真实GPS轨迹数据上的实验表明了所提出方法的有效性.     

三维连通网状SiC陶瓷/Zr基非晶复合材料动态变形特征

利用分离式霍普金森压杆装置,对三维连通网状SiC陶瓷/Zr基非晶复合材料进行不同应变率下的动态压缩实验,采用扫描电子显微镜研究复合材料的动态变形特征和断口形貌.结果表明:复合材料的动态压缩强度随着打击速度的增加而增加;试样发生劈裂和剪切断裂,陶瓷相断口形貌为层片状、台阶式的解理断裂,非晶合金发生粘性流动,断口形貌复杂多样.在应变率＞104 s-1的冲击载荷下,非晶相表现为软化后的多重脊状条带.复合材料断口上大量的非晶球形液滴及非晶软化条带的发现表明,绝热温升在非晶变形与断裂过程中起重要作用.     

再论线性矩阵方程的解法

目的进一步研究线性矩阵方程的解法。方法利用矩阵的初等变换法。结果给出了矩阵方程AX=B,XA=B和AXB=C的新的通解公式和一般解法。结论使已有的相关方法得到改进。