具有不确定参数二次自治系统的自适应同步问题研究

研究了两个带有参数的n维二次自治系统的自适应同步问题.根据Lyapunov稳定性理论及自适应控制方法得到了两个带有不确定参数非线性系统状态的渐近同步自适应控制方法.同时,识别了不确定参数.通过对两个超混沌系统的理论研究,证明了给定的非线性动力系统同步策略和参数识别的可行性.     

扰动模糊集的粗糙度

首先,将扰动模糊集和粗糙集理论相结合,提出了粗糙扰动模糊集的概念并研究了其基本性质.接着,通过引进扰动模糊集水平上、下边界区域的概念,克服了粗糙集理论中普遍存在的两个集合的上近似的交不等于两个集合的交的上近似(两个集合的下近似的并不等于两个集合的并的下近似)的缺陷.最后,定义了依参数的扰动模糊集的粗糙度的定义,讨论了其基本性质.     

对称多胞形的极值性质及其应用

凸多胞形现代理论的主要成就是被称之为Dehn-Sommerville关系的上界定理和下界定理,它们属于凸多胞形的经典组合理论.本文建立了关于对称凸多胞形的两个极值定理,它们可视为凸多胞形度量理论中的上界定理和下界定理,另外给出了两个极值定理的一个应用.     

数控机床故障分析的组合群验方法研究

介绍了两个组合群验数学模型,然后根据这两个数学模型,利用组合群验的理论和方法诊断数控机床故障部件,给出了数控机床故障诊断的新方法.     

对称多胞形的极值性质及其应用

凸多胞形现代理论的主要成就是被称之为Dehn-Sommerville关系的上界定理和下界定理,它们属于凸多胞形的经典组合理论．本文建立了关于对称凸多胞形的两个极值定理,它们可视为凸多胞形度量理论中的上界定理和下界定理,另外给出了两个极值定理的一个应用．     

动态规划方法中应注意的两个问题

本文从理论与实际两个方面论述了在使用动态规划方法时应注意的两个问题，即目标函数的可分性和状态变量的无后效性。分析了这两个问题在理论上的意义，提出了在实际应用中如何处理这两个问题的方法，最后举出了计算实例。对理论和实际工作者都有一定的参考价值。     

两个相互耦合网络的同步分析

本文旨在研究具有相互作用的两个网络间的同步及其控制问题.若各自网络的耦合矩阵在两个网络的连接矩阵的作用下使网络达到外部同步,则控制器消失;反之,则设计一个控制器,使两个网络达到同步.利用Lyapunov稳定性理论我们给出了同步条件,最后通过简单的数值算例来阐述得到的理论结果,包括网络具有相同和不相同的拓扑结构两种情形.     

双论域上粗糙近似算子的构造性方法与公理化方法

文献[1]在单论域U上，利用论域U上的二元关系，给出了粗糙集理论的构造性方法和公理化方法,本文将这两种方法推广到两个论域上的粗糙集,利用两个论域U和V之间的二元关系，研究双论域上粗糙集理论的构造性方法和公理化方法，推广了文献[1]的结论。     

两个网络间的相互同步

本文研究了两个耦合网络的相互同步,利用线性化方法,我们给出了两个具有相同拓扑结构的网络实现同步的定理,最后用数值例子来验证得到的理论结果。     

亚紧性在选择理论中的一个刻划(英文)

本文利用集值映射的选择理论,对正则空间的亚紧性给予了一种刻划。本文同时推广了选择理论中的两个经典定理。     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.