非线性控制系统的最小实现

对于那些由代数微分方程描述的具有输入输出关系的非线性控制系统，本文采用两种方法讨论了其最小实现问题：一种方法是直接计算系统的特征列；另一种方法则采用了本原元定理．两种方法给出的最小实现所需的状态变量最小数目是相等的．文中的大量代数与微分运算则可利用数学机械化来完成     

闭排队网络中性能势与无穷小实现因子之间的关系

In this paper,the concept of the infinitesimal realization factor is extended to the parameter-dependent performance functions in closed queueing networks. Then the concepts of realization matrix (its elements are called realization factors) and performance potential are introduced,and the relations between infinitesimal realization factors and these two quantities are discussed. This provides a united framework for both IPA and non IPA approaches. Finally,another physical meaning of the service rate is given.     

开关型霍尔传感器的原理与工程实现

介绍了开关型霍尔传感器的工作原理，设计了适用于工程测量的具体线路，并分析了该线路的特点。     

Commutative and noncommutative representations of matrix-valued herglotz-nevanlinna functions

Operator realizations of matrix-valued Herglotz-Nevanlinna functions play an important and essential role in system theory, in the spectral theory of bounded nonselfadjoint operators, and in interpolation problems. Here, a generalization for realization results of the Brodskiǐ-Livsic type is given for Herglotz-Nevanlinna functions whose spectral measures are compactly supported.     

Real-World Forward Rate Dynamics With Affine Realizations

We investigate the existence of affine realizations for Lévy driven interest rate term structure models under the real-world probability measure, which so far has only been studied under an assumed risk-neutral probability measure. For models driven by Wiener processes, all results obtained under the risk-neutral approach concerning the existence of affine realizations are transferred to the general case. A similar result holds true for models driven by compound Poisson processes with finite jump size distributions. However, in the presence of jumps with infinite activity we obtain severe restrictions on the structure of the market price of risk; typically, it must even be constant.     

浅析数学建模

数学建模在数学和其他学科的发展过程中具有重要的意义.数学建模有助于学生感受数学在解决实际问题中的价值和作用,体验综合运用知识和方法解决实际问题的过程;有助于激发学生学习数学的兴趣,培养学生的创新意识和实践能力.数学建模竞赛的开展有力地推动了高等院校数学教学体系、教学内容和教学方式的改革.     

大学物理实验开放式教学的实现

提出了开展大学物理实验开放式教学的具体实现方法及步骤。     

Approximation of quantum assemblages

In this paper, we derive a set of projectors on a large Hilbert space which can universally work for approximating quantum assemblages with binary inputs and outputs. The dimension of the Hilbert space depends on the accuracy of the approximation.     

Lorenz混沌系统的分析与电路实现

利用Matlab的数值计算和Multisim的电路模型分析和实现著名的Lorenz混沌系统,观察Lorenz混沌吸引子,加深对混沌现象的认识,可将混沌理论与实验引入到大学物理实验教学项目中。     

一个新四维自治超混沌系统及其电路实现

提出了一个新的四维超混沌系统,并对该系统的基本动力学特性进行了深入研究,得到该系统的LE,LE维数,给出了Poincare映射图、LE谱、分岔图以及时域图和相图.利用Mutisim软件设计了该新混沌系统的振荡电路并进行了仿真实验.经过数值仿真和电路系统仿真证实该系统与以往发现的混沌吸引子并不拓扑等价,属于新的混沌系统. 关键词： 超混沌系统 Lyapunov指数 Poincare截面图 电路实现