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Observer Design Based on Self-Recurrent Consequent-Part Fuzzy Wavelet Neural Network

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Tsinghua Science and Technology 2016年第5期21卷 544-551页

作者： xin wen xin Li Department of Aeronautics and Astronautics Shenyang Aerospace University Shenyang 110136 China School Astronautics Nanjing University of Aeronautics and Astronautics Nanjing 210016 China

In this paper, we propose and construct an observer design based on a Self-Recurrent Consequent-Part Fuzzy Wavelet Neural Network（SRCPFWNN） for a class of nonlinear system. We use a Self-Recurrent Wavelet Neural Network（SRWNN） to construct a self-recurrent consequent part for each rule of the Takagi-Sugeno-Kang（TSK） model in the SRCPFWNN and analyze the structure of the fuzzy wavelet neural network model. Based on the Direct Adaptive Control Theory（DACT） and a back propagation-based learning algorithm, all parameters of the consequent parts are updated online in the SRCPFWNN. On this basis, we propose a design method using an adaptive state observer based on an SRCPFWNN for nonlinear systems. Using the Lyapunov function, we then prove the stability of this observer design method. Our simulation results confirm that the observer can accurately and quickly estimate the state values of the system.

关键词： Takagi-Sugeno-Kang (TSK) fuzzy model activation functions state observer nonlinear systems simulation

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中国文学史编纂中的“唱对台戏”

三峡大学学报(人文社会科学版) 2025年第1期47卷 1-6+116+125页

作者：陈文新武汉大学文学院

中国文学史编纂中的“唱对台戏”,包括多种类型，或发生在晚辈与前辈之间，如五四新文化人之于清民之际的文学史家；或发生在同辈学人之间，如五四时期的学衡派之于新文化人；或发生在域外汉学与本土学术之间，如《哥伦比亚中国文学史... 详细信息

中国文学史编纂中的“唱对台戏”,包括多种类型，或发生在晚辈与前辈之间，如五四新文化人之于清民之际的文学史家；或发生在同辈学人之间，如五四时期的学衡派之于新文化人；或发生在域外汉学与本土学术之间，如《哥伦比亚中国文学史》之于通行的中国文学史。“唱对台戏”促进了对中国文学发展历程的深入理解，是中国文学史编纂逐渐趋于完善的必由之路。对其间的种种情形加以考察，有助于深入把握“先入之见”与“客观性”的辩证关系。

关键词：中国文学史编纂 “唱对台戏”

CONVERGENCE OF AN IMMERSED INTERFACE UPWIND SCHEME FOR LINEAR ADVECTION EQUATIONS WITH PIECEWISE CONSTANT COEFFICIENTS Ⅱ: SOME RELATED BINOMIAL COEFFICIENT INEQUALITIES

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Journal of Computational Mathematics 2009年第4期27卷 474-483页

作者： xin wen LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

In this paper we give proof of three binomial coefficient inequalities. These inequalities are key ingredients in [wen and Jin, J. Comput. Math. 26, （2008）, 1-22] to establish the L^1-error estimates for the upwind difference scheme to the linear advection equations with a piecewise constant wave speed and a general interface condition, which were further used to establish the L^1-error estimates for a Hamiltonian-preserving scheme developed in [Jin and wen, Commun. Math. Sci. 3, （2005）, 285-315] to the Liouville equation with piecewise constant potentials [wen and Jin, SIAM J. Numer. Anal. 46, （2008）, 2688-2714].

关键词： Binomial coefficient Linear advection equations Immersed interface upwindscheme Piecewise constant coefficients Error estimates.

THE L1-ERROR ESTIMATES FOR A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH PIECEWISE CONSTANT POTENTIALS AND PERTURBED INITIAL DATA

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Journal of Computational Mathematics 2011年第1期29卷 26-48页

作者： xin wen LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

We study the Ll-error of a Hamiltonian-preserving scheme, developed in [19], for the Liouville equation with a piecewise constant potential in one space dimension when the initial data is given with perturbation errors. We extend the l1-stability analysis in [46] and apply the Ll-error estimates with exact initial data established in [45] for the same scheme. We prove that the scheme with the Dirichlet incoming boundary conditions and for a class of bounded initial data is Ll-convergent when the initial data is given with a wide class of perturbation errors, and derive the Ll-error bounds with explicit coefficients. The convergence rate of the scheme is shown to be less than the order of the initial perturbation error, matching with the fact that the perturbation solution can be l1-unstable.

关键词： Liouville equations Hamiltonian preserving schemes Piecewise constant po-tentials Error estimate Perturbed initial data Semiclassical limit.

HIGH ORDER NUMERICAL METHODS TO TWO DIMENSIONAL HEAVISIDE FUNCTION INTEGRALS

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Journal of Computational Mathematics 2011年第3期29卷 305-323页

作者： xin wen LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

In this paper we design and analyze a class of high order numerical methods to two dimensional Heaviside function integrals. Inspired by our high order numerical methods to two dimensional delta function integrals [19], the methods comprise approximating the mesh cell restrictions of the Heaviside function integral. In each mesh cell the two dimen- sional Heaviside function integral can be rewritten as a one dimensional ordinary integral with the integrand being a one dimensional Heaviside function integral which is smooth on several subsets of the integral interval. Thus the two dimensional Heaviside function inte- gral is approximated by applying standard one dimensional high order numerical quadra- tures and high order numerical methods to one dimensional Heaviside function integrals. We establish error estimates for the method which show that the method can achieve any desired accuracy by assigning the corresponding accuracy to the sub-algorithms. Numerical examples are presented showing that the in this paper achieve or exceed the expected second to fourth-order methods implemented accuracy.

关键词： Heaviside function integral High order numerical method Irregular domain.

A Feed-Forward Wavelet Neural Network Adaptive Observer-Based Fault Detection Technique for Spacecraft Attitude Control Systems

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Chinese Journal of Electronics 2018年第1期27卷 102-108页

作者： wen xin WANG Jiayi LI xin College of Astronautics Nanjing University of Aeronautics and Astronautics Shanghai Aerospace Control Technology Institute College of Mechanical and Electrical Engineering Nanjing University of Aeronautics and Astronautics

This paper presents a novel neural network-based fault detection technique applicable to a class of nonlinear systems. The adaptive observer was designed for fault detection based on a single hidden layer feed-forward wavelet neural network. In order to guarantee network convergence, the network weights are updated according to a modified back-propagation algorithm, and the Lyapunov function is introduced to ensure *** proposed fault detection scheme was tested on the actuators of a typical spacecraft attitude control system, and the results demonstrated the effectiveness and feasibility of the proposed observer in detecting nonlinear system failure.

关键词： Single hidden layer feed-forward wavelet neural network Fault detection Nonlinear system Adaptive observer

CONVERGENCE OF AN IMMERSED INTERFACE UPWIND SCHEME FOR LINEAR ADVECTION EQUATIONS WITH PIECEWISE CONSTANT COEFFICIENTS I:L^1-ERROR ESTIMATES

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Journal of Computational Mathematics 2008年第1期26卷 1-22页

作者： xin wen Shi Jin LSEC ICMSEC Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China Department of Mathematics University of Wisconsin Madison WI 53706 USAand Department of Mathematical Sciences Tsinghua University Beijing 100084 China

We study the L^l-error estimates for the upwind scheme to the linear advection equations with a piecewise constant coefficients modeling linear waves crossing interfaces. Here the interface condition is immersed into the upwind scheme. We prove that, for initial data with a bounded variation, the numerical solution of the immersed interface upwind scheme converges in L^l-norm to the differential equation with the corresponding interface condition. We derive the one-halfth order L^l-error bounds with explicit coefficients following a technique used in [25]. We also use some inequalities on binomial coefficients proved in a consecutive paper [32].

关键词： Linear advection equations Immersed interface upwind scheme Piecewise constant coefficients Error estimate Half order error bound

铸牢中华民族共同体意识研究回溯与展望(2017—2023)——基于CiteSpace的可视化分析

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三峡大学学报（人文社会科学版） 2025年第1期47卷 29-40,56页

作者：龚志祥谭雯心东北大学秦皇岛分校民族学学院河北秦皇岛066004

本文运用CiteSpace软件绘制可视化知识图谱,分析2017—2023年中国知网CNKI核心期刊(北大核心、CSSCI期刊)铸牢中华民族共同体意识研究领域的1 772篇高质量文献,从发文量及趋势、作者及机构、引用量及高频关键词、多学科跨学科及研究机... 详细信息

本文运用CiteSpace软件绘制可视化知识图谱,分析2017—2023年中国知网CNKI核心期刊(北大核心、CSSCI期刊)铸牢中华民族共同体意识研究领域的1 772篇高质量文献,从发文量及趋势、作者及机构、引用量及高频关键词、多学科跨学科及研究机构合作等进行分析。铸牢中华民族共同体意识研究的发文量自2017年始逐年增长,经过快速上升,达到高水平的平稳增长。铸牢中华民族共同体意识理论体系研究深化仍是热点,实践研究与政策响应研究需进一步拓展和深化。

关键词：铸牢中华民族共同体意识 CiteSpace可视化分析研究现状

Teleportation of an Arbitrary Two-Particle State via a Single Cluster-Class State

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Communications in Theoretical Physics 2009年第8期52卷 209-213页

作者： WANG xin-wen Department of Physics Hunan University of Science and Engineering Yongzhou 425100 China Department of Physics and Applied Optics Beijing Area Major Laboratory Beijing Normal University Beijing 100875China

Teleportation of an arbitrary two-qubit state with a single partially entangled state,a four-qubit linearcluster-class state,is *** case is more practical than previous ones using maximally entangled states as thequantum *** order to realize teleportation,we first construct a cluster-basis of 16 orthonormal cluster *** show that quantum teleportation can be successfully implemented with a certain probability if the receiver can adoptappropriate unitary transformations after receiving the sender's cluster-basis measurement *** addition,animportant conclusion can be obtained that a four-qubit maximally entangled state (cluster state) can be extracted froma single copy of the cluster-class state with the same probability as the teleportation in principle.

关键词： probabilistic teleportation cluster-class state cluster-basis measurement unitary transformation