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Symmetries and exact solutions of discrete nonconservative systems

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Science china(Physics,Mechanics & Astronomy) 2010年第9期53卷 1699-1706页

作者： FU JingLi1,LI XiaoWei2.LI ChaoRong1,ZHAO WeiJia3 & CHEN BenYong4 1 Institute of Mathematical Physics,Zhejiang Sci-Tech University,hangzhou 310018,china 2.Department of Physics,Shangqiu Normal University,Shangqiu 476000,china 3 Department of Mathematics,Qingdao University,Qingdao 2.6071,china 4 faculty of mechanical engineering & automation,Zhejiang Sci-Tech University,hangzhou 310018,china 1. Institute of Mathematical Physics Zhejiang Sci-Tech University Hangzhou 310018 China2. Department of Physics Shangqiu Normal University Shangqiu 476000 China3. Department of Mathematics Qingdao University Qingdao 266071 China4. Faculty of Mechanical Engineering & Automation Zhejiang Sci-Tech University Hangzhou 310018 China

Based on the property of the discrete model entirely inheriting the symmetry of the continuous system,we present a method to construct exact solutions with continuous groups of transformations in discrete nonconservative *** Noether's identity of the discrete nonconservative system is *** symmetric discrete Lagrangian and symmetric discrete nonconservative forces are defined for the *** quasi-extremal equations of discrete nonconservative systems are *** conserved quantities are derived with symmetries associated with the continuous *** have also found that the existence of the one-parameter symmetry group provides a reduction to a conserved quantity;but the existence of a two-parameter symmetry group makes it possible to obtain an exact solution for a discrete nonconservative *** examples are discussed to illustrate these results.

关键词： discrete nonconservative system symmetry conserved quantity quasi-extremal equation exact solution

Some geometric properties of successive difference substitutions

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Science china(Information Sciences) 2011年第4期54卷 778-786页

作者： HOU XiaoRong 1,XU Song 1,2.& SHAO JunWei 1 1 School of automation engineering,University of Electronic Science and Technology of {2.,Chengdu 611731,{2. 2.faculty of Science,Ningbo University,Ningbo 3152.1,{2. 1. School of automation engineering University of Electronic Science and Technology of China Chengdu 611731 China2. Faculty of Science Ningbo University Ningbo 315211 China

This paper provides a new,geometric perspective to study successive difference substitutions,and proves that the sequence of the successive difference substitution sets is not *** interesting result that a given k-dimensional rational hyperplane can be transformed to a k-dimensional coordinate hyperplane of new variables by finite steps of successive difference substitutions is ***,a sufficient condition for the sequence of the successive difference substitution sets of a form being not terminating is *** is,a class of polynomials which cannot be proved to be positive semi-definite by the successive difference substitution method are obtained.

关键词： successive difference substitutions nonnegativity decision of forms Barycentric subdivision

The normal numbers of the fuzzy systems and their classes

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Science china(Information Sciences) 2010年第11期53卷 2215-2229页

作者： LI HongXing1,3, YUAN XueHai1, WANG JiaYin2.& LI YuCheng3 1faculty of Electronic Information and Electrical engineering, Dalian University of Technology, Dalian 11602., {2. 2.chool of Mathematical Sciences, Beijing Normal University, Beijing 100875, {2. 3Department of automation, North {2. University of Technology, Beijing 100144, {2. 1. faculty of Electronic Information and Electrical engineering Dalian University of Technology Dalian 116024 China3. Department of Automation North China University of Technology Beijing 100144 China2. School of Mathematical Sciences Beijing Normal University Beijing 100875 China

R-fuzzy set is defined in this paper, which is regarded as the generalization of the Zadeh fuzzy set. By means of CRI method, some fuzzy systems are constructed by suitably using several kinds of R-fuzzy sets as fuzzy inference antecedents, such as interpolation fuzzy system, Bernstein fuzzy system, Lagrange fuzzy system and Hermite fuzzy system. A notion of the normal number of the fuzzy system is defined here, we have shown that all fuzzy systems are able to be classified as three classes such as the normal fuzzy systems, the regular fuzzy systems and the singular fuzzy systems under the significance of the normal numbers of fuzzy systems. Finally, the generalized Bernstein polynomial is obtained by constructing Bernstein fuzzy system, it is proved that the generalized Bernstein polynomial is uniformly convergent in C[a,b] under a weaker condition, and it is pointed out that there exist generalized Bernstein polynomials to be not convergent in C[a,b] by use of constructing a counterexample.

关键词： R-fuzzy set fuzzy system the normal number of fuzzy system universal approximation property for fuzzy system

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灵巧手操作的重构规划

机器人 2004年第5期26卷 439-443页

作者：杨洋北京航空航天大学机械工程与自动化学院北京100083

根据人类利用滑动或滚动方式进行灵巧操作的几种模式 ,在多指灵巧手—物体的抓持系统中 ,把实现这些灵巧操作模式的规划问题作为一个位形空间的重构问题进行全局和局部级的操作规划 ,开发了实现灵巧操作的规划算法 .仿真结果表明了方法... 详细信息

根据人类利用滑动或滚动方式进行灵巧操作的几种模式 ,在多指灵巧手—物体的抓持系统中 ,把实现这些灵巧操作模式的规划问题作为一个位形空间的重构问题进行全局和局部级的操作规划 ,开发了实现灵巧操作的规划算法 .仿真结果表明了方法的有效性和正确性 .

关键词：灵巧操作多指手操作规划位形重构

Embedded Microcontroller Based Flat Knitting Machine Controller Design

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Embedded Microcontroller Based Flat Knitting Machine Control...

第二届先进纺织材料及加工技术国际会议

作者： Zhang Hua Xudong Hu Yanhong Yuan Xianmei Wang Laihu Peng Jianyi Zhang(faculty of mechanical {2. & automation Zhejiang Sci-Tech University hangzhou 310018 china)

There are kinds of flat knitting machines;they combine basic functions like jacquard,yarn color selection,knit loop traverse,*** machines can be used to knit sweaters or flat pieces of *** this paper,authors design a distributed control based *** the controller,individual functional modules are designed to perform special *** individual functional module is a CAN node of the *** are used to transfer signals and commands between *** control system,based on distributed controls and modularizing designs,are easy to design and can meet the needs of reliability and real-time control with low cost.

关键词： Flat knitting machine CAN Distributed control

来源： cnki会议评论

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高职院校学生综合素质的模糊综合系统分析

系统科学学报 2011年第3期19卷 82-86,96页

作者：黄会明陈宁浙江机电职业技术学院电气电子工程学院浙江杭州310053 浙江理工大学机械与自动控制学院浙江杭州310018

本文应用模糊数学理论建立了二级模糊综合评判模型,并应用于学生综合素质评价。首先,根据高职院校的教育特点,建立了一套反映高职学生综合素质的二级指标体系,采用改进的层次分析法来确定指标权重,通过引入隶属函数将定量指标模糊化,并... 详细信息

本文应用模糊数学理论建立了二级模糊综合评判模型,并应用于学生综合素质评价。首先,根据高职院校的教育特点,建立了一套反映高职学生综合素质的二级指标体系,采用改进的层次分析法来确定指标权重,通过引入隶属函数将定量指标模糊化,并建立了单因素评价矩阵;然后结合实例,阐述了模糊综合评判模型的具体步骤,实现了学生综合素质的定性分析与量化评价。结果表明,该模型合理、可靠,为综合素质的客观评价提供了科学依据。

关键词：综合素质指标体系隶属函数层次分析法模糊综合系统分析

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火箭飞行实时测量数据的小波滤波快速算法

数据采集与处理 2004年第4期19卷 395-400页

作者：樊友平陈允平柴毅黄席樾韩逢庆高波武汉大学电气工程学院武汉430072 重庆大学自动化学院重庆400044 西昌卫星发射中心西昌615000

为充分实现火箭飞行实时测量数据的实时处理功能 ,结合弹道处理的实际 ,给出了一种基于小波方法的实时信号所包含噪声的在线快速识别算法 ,该算法原理简捷 ,易实现 ,计算复杂度较低 ,其时间复杂性为 O(1 ) ;分析了用于火箭飞行测量数据... 详细信息

为充分实现火箭飞行实时测量数据的实时处理功能 ,结合弹道处理的实际 ,给出了一种基于小波方法的实时信号所包含噪声的在线快速识别算法 ,该算法原理简捷 ,易实现 ,计算复杂度较低 ,其时间复杂性为 O(1 ) ;分析了用于火箭飞行测量数据消噪的小波及其阈值的选取原则 ,通过对雷达跟踪测量数据的实际分析和处理 ,就数据是否处于火箭在级间分离段提出了不同的处理方法 ,实践证明无论是滤波后信号的残留噪声还是消耗的时间上小波方法都优于α-β-γ滤波 ,且实现了数据的实时处理功能 ,充分满足了实时性要求。

关键词：数据计算复杂度时间复杂性实时性 α-β-γ滤波小波滤波快速识别算法火箭飞行级间分离

Guest Editorial for Special Issue on Human-centered Intelligent Robots:Issues and Challenges

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IEEE/CAA Journal of Automatica Sinica 2017年第4期4卷 599-601页

作者： Zhijun Li C.L.Philip Chen Wei He IEEE College of automation Science and engineering South China University of Technology Department of Computer and Information Science Faculty of Science and Technology University of Macao School of automation and Electrical engineering University of Science and Technology Beijing

The special issue aims to address a broad spectrum of topics ranging from human-centered intelligent robots acting as a servant,secretary,or companion to intelligent robotic *** special issue publishes original papers of innovative ideas and concepts,new discoveries,and novel applications and business models relevant to the field of human-centered intelligent *** this special issue,modeling,intelligent control,

关键词： In Guest Editorial for Special Issue on Human-centered Intelligent Robots:Issues and Challenges

Stabilization Analysis for a Class of Multiple Interval Time-varying Delays System

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Stabilization Analysis for a Class of Multiple Interval Time...