SPECTRAL RADIUS,KRONECKER PRODUCTS AND STATIONARITY

Abstract. We provide a stochastic proof of the inequality ρ(A?A+B?B) ≥ρ(A?A), where ρ(M) denotes the spectral radius of any square matrix M, i.e. max{|eigenvalues| of M}, and M?N denotes the Kronecker product of any two matrices M and N. The inequality is then used to show that stationarity of the bilinear model will imply stationarity of the linear part, i.e. the linear ARMA model for r= 1 and q= 1. Furthermore, it is shown that stationarity of the subdiagonal model, i.e. the bilinear model with b_ij=0 for i< j, again implies stationarity of its linear part, provided that the stationarity condition given by Bhaskara Rao and his colleagues is met. Interestingly, the conclusion that stationarity of the subdiagonal models, implies that the linear component models cannot be extended to the general non-subdiagonal bilinear models. The last observation is demonstrated via a simple example with p=m= 1, r= 0 and q= 2.     

基于身份的指定验证者代理签名方案*

在代理签名中,原始签名人能将其数字签名权力委托给代理签名人;在指定验证者签名方案中,只有事先指定的验证者才能验证签名的有效性.综合上述两种方案的优点,利用Weil对的双线性映射,构造了一个基于身份的指定验证者代理签名方案,并对其安全性进行简要的分析.     

消失模铸造在轧臼壁生产中的应用

介绍了用消失模铸造生产圆锥破碎机轧臼壁的工艺过程,实践证明,用消失模工艺生产的轧臼壁具有工期短、成本低、成品率高、铸件表面质量高等特点.     

波形控制逆变CO2焊接电源关键控制信号的获取

通过分析波形控制CO2焊接过程，介绍了焊接电源空载、燃弧、短路等工作状态的判别，电流、电压、du/dt、di/dt等关键信号的获取方法，为研制波形控制CO2逆变焊机奠定了基础。     

Sensing, modeling and control for laser-based additive manufacturing

Laser-Based Additive Manufacturing (LBAM) is a promising manufacturing technology that can be widely applied to part preparation, surface modification, and Solid Freeform Fabrication (SFF). A large number of parameters govern the LBAM process. These parameters are sensitive to the environmental variations, and they also influence each other. This paper introduces the research work in RCAM on improving the performance of the LBAM process. Metal powder delivery real-time sensing and control is studied to achieve a controllable powder delivery for fabrication of functionally graded material. A closed-loop control system based on infrared image sensing is built for control of the heat input and size of the molten pool in the LBAM process. The closed-loop control results show a great improvement in the geometrical accuracy of the built features. A three-dimensional finite element model is also established to explore the thermal behavior of the molten pool in the closed-loop controlled LBAM process.     

自由曲面的测量、建模、加工一体化过程研究

本文以一个鼠标模型为例，介绍了自由曲面的测量、建模、加工一体化过程，对一体化过程的各个步骤进行了研究为实现逆向工程集成化奠定了基础。     

工艺参数对送粉式激光熔覆组织及性能的影响

通过对不同规范参数情况下激光熔覆过程的研究分析，讨论了在熔覆过程中不同激光粉匹配条件对熔覆层尺寸、熔覆层组织及性能的影响，从而确定其影响规律。     

采用双线性变换的线性离散系统模型降阶

针对线性定常离散系统,提出一种新的不受稳定性限制的降阶方法,即利用双线性反变换,将离散系统转化为连续系统,利用已知的连续系统的降阶方法进行降阶,之后再经双线性变换为离散系统,得到了原离散系统的降阶模型,给出并证明了误差上界.数值算例说明了此方法的有效性.