|
|
|
题名
|
作者
|
年代
|
出处
|
被引量
|
| 1 | THE CENTRAL BMO SPACES AND LITTLEWOOD-PALEY OPERATORS显示文摘The authors give a characterization of central bounded mean oscillation space CBMO2(Rγ) in terms of the central Carleson measure. Using this character, the authors establish the CBMO2(Rγ)-boundedness for several classes of general Littlewood-Paley operators. | Lu Shanzhen and Yang Dachun (Beijing Normal University, China) | 1995 | Analysis in Theory and Applications1995，11，3： | 49 |
| 2 | BIVARIATE BLENDING RATIONAL INTERPOLANTS显示文摘Bath the Newton inter polating polynomials and the Thiele-type inter polating continued fractions based on inverse differences are used to construct a kind of blending rational inter polants and an error estimation is grven. | Tan Jieqing(Hefei University of Technology, China) | 1999 | Analysis in Theory and Applications1999，15，2： | 30 |
| 3 | A Parallel Algorithm for Adaptive Local Refinement of Tetrahedral Meshes Using Bisection显示文摘Local mesh refinement is one of the key steps in the implementations of adaptive finite element methods.This paper presents a parallel algorithm for distributed memory parallel computers for adaptive local refinement of tetrahedral meshes using bisection.This algorithm is used in PHG,Parallel Hierarchical Grid (http://gffzz8065c2988e934515hxbv599u59qww6nqu.ffgz.tsg.suse.edu.cn/phg/),a toolbox under active development for parallel adaptive finite element solutions of partial differential equations.The algorithm proposed is characterized by allowing simultaneous refinement of submeshes to arbitrary levels before synchronization between submeshes and without the need of a central coordinator process for managing new vertices.Using the concept of canonical refinement, a simple proof of the independence of the resulting mesh on the mesh partitioning is given,which is useful in better understanding the behaviour of the bisectioning refinement procedure. | Lin-Bo Zhang | 2009 | Numerical Mathematics(Theory,Methods and Applications)2009，2，1： | 27 |
| 4 | Active disturbance rejection control: between the formulation in time and the understanding in frequency显示文摘与活跃骚乱拒绝控制(ADRC ) 的快速的推广作为在背景的一种真正的工业技术,这份报纸用练习与设计的频率反应语言在线性 ADRC 和提议解释的分析总结一些最近的结果是熟悉的。对这个努力批评是带宽的概念,它在更一般的意义被使用了。是这个概念能用作在 ADRC 和命令设计考虑的不那样不透明的州的空间明确的表达之间的连接。简单线性 ADRC 的显著特征首先在频率领域被显示出,及时由相应分析列在后面领域,在在追踪的错误之间的关系和 ADRC 带宽被建立的地方。如此的卓见由使用解决线性微分方程的方法仅仅是可能的,这被显示出,而不是象 Lyapunov 方法那样的更传统的技术,它趋于更保守、困难由工程师掌握。从如此的分析获得的卓见进一步在模拟确认被表明。 | Qing ZHENG Zhiqiang GAO | 2016 | Control Theory and Technology2016，14，3： | 24 |
| 5 | Semi-tensor product approach to networked evolutionary games显示文摘In this paper a comprehensive introduction for modeling and control of networked evolutionary games(NEGs) via semi-tensor product(STP) approach is presented. First, we review the mathematical model of an NEG, which consists of three ingredients:network graph, fundamental network game, and strategy updating rule. Three kinds of network graphs are considered, which are i) undirected graph for symmetric games; ii) directed graph for asymmetric games, and iii) d-directed graph for symmetric games with partial neighborhood information. Three kinds of fundamental evolutionary games(FEGs) are discussed, which are i) two strategies and symmetric(S-2); ii) two strategies and asymmetric(A-2); and iii) three strategies and symmetric(S-3).Three strategy updating rules(SUR) are introduced, which are i) Unconditional Imitation(UI); ii) Fermi Rule(FR); iii) Myopic Best Response Adjustment Rule(MBRA). First, we review the fundamental evolutionary equation(FEE) and use it to construct network profile dynamics(NPD)of NEGs.To show how the dynamics of an NEG can be modeled as a discrete time dynamics within an algebraic state space, the fundamental evolutionary equation(FEE) of each player is discussed. Using FEEs, the network strategy profile dynamics(NSPD) is built by providing efficient algorithms. Finally, we consider three more complicated NEGs: i) NEG with different length historical information, ii) NEG with multi-species, and iii) NEG with time-varying payoffs. In all the cases, formulas are provided to construct the corresponding NSPDs. Using these NSPDs, certain properties are explored. Examples are presented to demonstrate the model constructing method, analysis and control design technique, and to reveal certain dynamic behaviors of NEGs. | Daizhan CHENG Hongsheng QI Fehuang HE Tingting XU Hairong DONG | 2014 | Control Theory and Technology2014，12，2： | 17 |
| 6 | ON THE ORDER OF APPROXIMATION FOR THE RATIONAL INTERPOLATION TO |x|显示文摘The order of approximation for Newman-type rational interpolation to |x| is studied in this paper.For general set of nodes, the extremum of approximation error and the order of the best uniform approximation are estimated. The result illustrates the general quality of approximation in a different way. For the special case where the interpolation nodes are xi=(i/n)r(i=1,2, … ,n;r>0), it is proved that the exact order of approximation is O(1/n), O(1/nlogn) and O(1/nr), respectively, corresponding to 01. | Han Xuli(Central South University, China) | 2002 | Approximation Theory and Its Applications2002，18，2： | 16 |
| 7 | UNIQUE COMMON FIXED POINT OF A FAMILY OF SELF-MAPS WITH SAME TYPE CONTRACTIVE CONDITION IN 2-METRIC SPACE显示文摘In this paper, we prove that a family of self-maps {Ti,j}i,j∈N in 2-metric space has a unique common fixed point if (i) {Ti,j}i,j∈N satisfies the same type contractive condition for each j ∈ N; (ii) Tm,μ· Tn,ν = Tn,ν· Tm,μ for all m,n,μ,ν∈ N with μ = ν. Our main result generalizes and improves many known unique common fixed point theorems in 2-metric spaces. | Yongjie Piao | 2008 | Analysis in Theory and Applications2008，24，4： | 15 |
| 8 | ON THE DEGREE OF APPROXIMATION BY WAVELET EXPANSIONS显示文摘In this paper we estimate the degree of approximation of wavelet expansions. Our result shows that the degree has the exponential decay for function f(x) ∈ L2 continuous in a finite interval (a,b) which is much superior to those of approximation by polynomial operators and by expansions of classical orthogonal series. | Sun Xiehua (China Institute of Metrology, China) | 1998 | Analysis in Theory and Applications1998，14，1： | 15 |
| 9 | Active disturbance rejection control: some recent experimental and industrial case studies显示文摘 | Qing ZHENG Zhiqiang GAO | 2018 | Control Theory and Technology2018，16，4： | 13 |
| 10 | THE CURL IN SEVEN DIMENSIONAL SPACE AND ITS APPLICATIONS显示文摘In higher dimensional spaces Rn(n>3) the usual curl does not have the properties as in R3. In this paper, we established the natural concept of curl in R7 via octonion O. We prove that there exists the curl in Rn if and only if n=3, 7. Some applications are presented, such as the new phenmenon of the differential forms in R7 whcih is different from the ordinary de Rham cohomology and Hodge theory, grad-curl-div type Dirac oper ator in R6, seven dimensional Maxwell equations and Navier-Stokes equations.Supported by the National Natural Science Foundation Of | Lizhong Peng (1) Lei Yang (1) | 1999 | Analysis in Theory and Applications1999，15，3： | 12 |
| 11 | ON STEIN-WEISS CONJUGATE HARMONIC FUNCTION AND OCTONION ANALYTIC FUNCTION显示文摘It is shown that the Stein-Weiss conjugate harmaonic funciton is the Octonion analytic function. We find a counter example to show the converse is not ture in the Octonion case, by which wehave answered the question proposed in [1]. | Li Xingmin Peng Lizhong | 2000 | Analysis in Theory and Applications2000，16，2： | 11 |
| 12 | On the mechanism and control for the ultra-low frequency oscillation in NY Power Grid with large-scale hydropower显示文摘The power grid with large proportion of hydropower may engage the ultra-low frequency oscillation (ULFO),which threatening the operation of system.To the NY Power Grid system,whose dimension is over thousands,this paper reveals the cause of ULFO with the phase portrait method,i.e.,lies in the saturation of the different limits of the governor system of the generators,in other words,the occurrence of limit cycle is due to the non-smooth bifurcation.And furthermore,it proposes two methods to suppress ULFO with the philosophy of destroying the condition of non-smooth bifurcation.In detail,first,the phenomenon of ULFO in NY Power Grid,the damping characteristics and the limits in the governor system of the hydropower units are presented.Second,based on the non-smooth bifurcation theory,the mathematical basis of the oscillation in the non-smooth system caused by the saturation of limits is introduced.And then,the non-oscillation and oscillation dynamic of the system corresponding to without/with limits in the governor system are analyzed.Furthermore,it discusses the influence of the saturation of single limit on the characteristics of ULFO with the phase portraits.Moreover,the phase portraits of the ULFO under different faults is analyzed,and it shows that the limiting saturation occurs with a large enough disturbance.Thus,the ULFO is resulting from the negative damping of generation and the saturation of multiple limits under a large enough disturbance.In addition,according to the above mechanism,two strategies to suppress the ULFO,i.e.,the governor parameters tuning and the fault strength relief are designed.The simulation shows the effectiveness of proposed strategies. | Ancheng XUE Jiawei WANG Chao ZHENG Joe H.CHOW Tianshu BI | 2019 | Control Theory and Technology2019，17，3： | 11 |
| 13 | BIFURCATION ANALYSIS AND FEEDBACK CONTROL OF A 3D CHAOTIC SYSTEM显示文摘In this paper,we analyze a three-dimensional differential system derived from the Chen system based on the first Lyapunov coefficient,and apply it to investigate the local bifurcation.And we present some insights on bifurcation and stability,also obtain some conditions for subcritical and supercritical.Finally,we give some numerical simulation studies of system in order to verify analytic results. | Zhen Wang | 2007 | Analysis in Theory and Applications2007，23，4： | 11 |
| 14 | Circle formation control for multi-agent systems with a leader显示文摘In this paper, we focus on circle formation control of multi-agent systems(MAS) with a leader. The circle formation is achieved based on the lead-following and the artificial potential field method. A distributed control law is given to make a group of agents form a circle and consequently achieve an expected angle. Finally, simulation results show that the proposed circle formation strategies are effective. | Lianjie ZHAO Dan MA | 2015 | Control Theory and Technology2015，13，1： | 11 |
| 15 | BOUNDEDNESS OF VECTOR-VALUED OPERATORS ON WEIGHTED HERZ SPACES显示文摘In this paper, the authors establish the weighted weak and strong type norm inequalities in the set of weighted Herz-type spaces for a vector-valued analogue o f the Hardy-Littlewood maximal operator; and using this,the authors obtain the weighted inequalies for a wide class of sublinear singular operators defined on Rn which include the Calderon-Zygmund operators as special cases. The fractional versions of these results are also given. | Tang Lin Yang Dachun | 2000 | Analysis in Theory and Applications2000，16，2： | 11 |
| 16 | DEGREE OF APPROXIMATION BY SUPERPOSITIONS OF A SIGMOIDAL FUNCTION显示文摘In this paper we study the degree of approximation by superpositions of a sigmoidal function.We mainlyconsider the univariate case.If f is a continuous function,we prove that for any bounded sigmoidalfunction σ,dn,σ(f)≤‖σ‖ω(f,1/(n+1)).For the Heaviside function H(x),we prove that dn,H(f)≤ω(f,1/(2(n+1))).If f is a continuous funnction of bounded variation,we prove that dn,σ(f)≤‖σ‖/(n+1)V(f)and dn,H(f)≤1/(2(n+1))V(f).For he Heaviside function,the coefficient 1 and the approximation orders are the bestpossible.We compare these results with the classical Jackson and Bernstein theorems,and make some conjec-tures for further study. | Chen Debao (University of Texas at Austin,USA) | 1993 | Analysis in Theory and Applications1993，9，3： | 11 |
| 17 | Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations显示文摘The block-by-block method,proposed by Linz for a kind of Volterra integral equations with nonsingular kernels,and extended by Kumar and Agrawal to a class of initial value problems of fractional differential equations(FDEs)with Caputo derivatives,is an efficient and stable scheme.We analytically prove and numerically verify that this method is convergent with order at least 3 for any fractional order indexα>0. | Jianfei Huang Yifa Tang Luis Vázquez | 2012 | Numerical Mathematics(Theory,Methods and Applications)2012，5，2： | 11 |
| 18 | ON NEWMAN-TYPE RATIONAL INTERPOLATION TO |x| AT THE CHEBYSHEV NODES OF THE SECOND KIND显示文摘最近, Brutman 和 Passow 认为 Newman 类型合理插值是 to|x |由对称的节点的任意的集合导致了在[-1,1] 并且给了近似错误的一般评价。由他们的方法,一个人能为一些特殊节点建立近似的准确顺序。在我们考虑插值节点是第二种类型的零个 Chebyshev 多项式并且在这种情况中证明那的特殊情况的现在的纸,近似的准确顺序是 O (1/(n ln n )) 。 | Laiyi Zhu Zhaolin Dong | 2006 | Analysis in Theory and Applications2006，22，3： | 10 |
| 19 | ON N-WIDTHS OF SOME PERIODIC CONVOLUTION CLASSES IN ORLICZ SPACES显示文摘In this paper we extend the some accurate results on n-width of Sobolevclass W_∞~γ in L_p spaces to Orlicz spaces,and establish the correspondingresults for dual cases. | Wu Garidi (Inner Mongolia Normal University,China) | 1998 | Analysis in Theory and Applications1998，14，3： | 10 |
| 20 | SHIFT-INVARIANT BI-INNER PRODUCT FUNCTIONALS ARE INNER PRODUCTS显示文摘Bi-inner product functionals generated by a pair of Bessel sequences of L2 functions are introduced. It is shown that these functionals are constant multiples of the inner products of L2 and l2, if and only if they are shift-invariant both in space (or time) and in Phase. This result is then applied to characterize dual frames and bi-orthogonal Riesz bases of | Charles K. Chui (1) Xianliang Shi (1) | 1999 | Analysis in Theory and Applications1999，15，1： | 10 |
您所在的机构暂未开通此部分的功能，请联系管理员