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Multipliers on weighted Hardy spaces over locally compact Vilenkin groups

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Chinese Science Bulletin 1999年第18期44卷 1649-1653页

作者： Yueping Zhu weixing zheng Nanjing Univ Dept Math Nanjing 210093 Peoples R China

A weighted Hpω(G) multiplier theorem on the multiplier operator T associated with a function m∈ L∞ (Γ) is shown and the atomic decomposition of functions fin Hp*(G) is obtained, where G is a Vilenkin group, r its ... 详细信息

关键词： multipliers Vilenkin group atom-decomposition.

Local Bifurcation Analysis of a Delayed Fractional-order Dynamic Model of Dual Congestion Control Algorithms

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IEEE/CAA Journal of Automatica Sinica 2017年第2期4卷 361-369页

作者： Min Xiao Guoping Jiang Jinde Cao weixing zheng IEEE College of Automation Nanjing University of Posts and Telecommunications Research Center for Complex Systems and Network Sciences Southeast University School of Computing Engineering and MathematicsWestern Sydney University

In this paper, we propose a delayed fractional-order congestion control model which is more accurate than the original integer-order model when depicting the dual congestion control algorithms. The presence of fractional orders requires the use of suitable criteria which usually make the analytical work so harder. Based on the stability theorems on delayed fractionalorder differential equations, we study the issue of the stability and bifurcations for such a model by choosing the communication delay as the bifurcation parameter. By analyzing the associated characteristic equation, some explicit conditions for the local stability of the equilibrium are given for the delayed fractionalorder model of congestion control algorithms. Moreover, the Hopf bifurcation conditions for general delayed fractional-order systems are proposed. The existence of Hopf bifurcations at the equilibrium is established. The critical values of the delay are identified, where the Hopf bifurcations occur and a family of oscillations bifurcate from the equilibrium. Same as the delay, the fractional order normally plays an important role in the dynamics of delayed fractional-order systems. It is found that the critical value of Hopf bifurcations is crucially dependent on the fractional order. Finally, numerical simulations are carried out to illustrate the main results. © 2017 Chinese Association of Automation.

关键词： Algebra Bifurcation (mathematics) Congestion control (communication) Convergence of numerical methods Differential equations Stability

Stability criteria for stochastic singular systems with time-varying delays and uncertain parameters

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Science China(Information Sciences) 2018年第11期61卷 256-258页

作者： Shuanyun XING Feiqi DENG weixing zheng College of Science Shenyang Jianzhu University Systems Engineering Institute South China University of Technology School of Computing Engineering and Mathematics Western Sydney University

Dear editor,It is well known that singular systems can better describe physical systems and they are widely used in chemical processes, microelectronic circuits, economic systems, and network control systems [1]. We can effectively model singular systems as stochastic singular systems when the structure of singular systems is unexpectedly altered by the environment. Several meaningful contributions were reported in [2–4].

关键词： PTA ATP Stability criteria for stochastic singular systems with time-varying delays and uncertain parameters

Variable selection in identification of a high dimensional nonlinear non-parametric system

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Control Theory and Technology 2015年第1期13卷 1-16页

作者： Er-Wei BAI Wenxiao ZHAO weixing zheng Department of Electrical and Computer Engineering University of Iowa School of Electronics Electrical Engineering and Computer Science Queen's UniversityBelfast U.K. Key Laboratory of Systems and Control Academy of Mathematics and Systems Science National Center for Mathematics and Interdisciplinary Sciences Chinese Academy of Sciences School of Computing Engineering and Mathematics University of Western Sydney

The problem of variable selection in system identification of a high dimensional nonlinear non-parametric system is described. The inherent difficulty, the curse of dimensionality, is introduced. Then its connections to various topics and research areas are briefly discussed, including order determination, pattern recognition, data mining, machine learning, statistical regression and manifold embedding. Finally, some results of variable selection in system identification in the recent literature are presented.

关键词： System identification variable selection nonlinear non-parametric system curse of dimensionality

孟鲁司特钠联合小儿定喘口服液治疗儿童咳嗽变异性哮喘的临床疗效

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深圳中西医结合杂志 2024年第15期34卷 38-41页

作者：王玺彭献华郑卫星三门峡市中心医院河南三门峡472000

目的:探究孟鲁司特钠联合小儿定喘口服液治疗儿童咳嗽变异性哮喘的临床疗效。方法:将三门峡市中心医院儿科2022年1月至2024年1月期间收治的咳嗽变异性哮喘儿童68例,以简单随机化法平均分为观察组与对照组,各34例。对照组患儿采用孟鲁司... 详细信息

目的:探究孟鲁司特钠联合小儿定喘口服液治疗儿童咳嗽变异性哮喘的临床疗效。方法:将三门峡市中心医院儿科2022年1月至2024年1月期间收治的咳嗽变异性哮喘儿童68例,以简单随机化法平均分为观察组与对照组,各34例。对照组患儿采用孟鲁司特钠治疗,观察组患儿在对照组的基础上联合小儿定喘口服液治疗,比较两组患儿的治疗效果、临床指标、免疫球蛋白水平。结果:观察组患儿治疗总有效率高于对照组,差异具有统计学意义(P<0.05);观察组患儿各临床指标时间均短于对照组,差异具有统计学意义(P<0.05);治疗后两组患儿血清免疫球蛋白A、免疫球蛋白G水平均升高,免疫球蛋白E水平均降低,且治疗后观察组患儿血清免疫球蛋白A、免疫球蛋白G水平高于对照组,免疫球蛋白E水平低于对照组,差异具有统计学意义(P<0.05)。结论:孟鲁司特钠联合小儿定喘口服液对于儿童咳嗽变异性哮喘具有良好的效果,有利于减轻患儿咳痰、咳嗽以及住院时长,并可改善患儿免疫球蛋白E、免疫球蛋白A和免疫球蛋白G的水平。

关键词：咳嗽变异性哮喘孟鲁司特钠小儿定喘口服液儿童

Stability and bifurcation control of a neuron system under a novel fractional-order PD controller

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Science China(Technological Sciences) 2019年第12期62卷 2120-2129页

作者： SHI Shuo XIAO Min RONG LiNa zheng weixing TAO BinBin CHENG ZunShui XU FengYu School of Automation Nanjing University of Posts and TelecommunicationsNanjing 210003China School of Mathematics and Physics Qingdao University of Science and TechnologyQingdao 266061China School of Computing Engineering and MathematicsWestern Sydney UniversitPenrith NSW 2751Australia

In this paper, we address the problem of bifurcation control for a delayed neuron system. By introducing a new fractional-order Proportional-Derivative(PD) feedback controller, this paper aims to control the stability and Hopf bifurcation through adjusting the control gain parameters. The order chosen in PD controller is different with that of the integer-order neuron system. Sufficient conditions for guaranteeing the stability and generating Hopf bifurcation are constructed for the controlled neuron system. Finally,numerical simulation results are illustrated to verify our theoretical derivations and the relationships between the onset of the Hopf bifurcation and the gain parameters are obtained.

关键词： Hopf bifurcation fractional-order PD controller neuron system time delay

THE DECOMPOSITION OF THE REPRESENTATIONS Tv AND THE PLANCHEREL FORMULA FOR THE UNIVERSAL COVERING GROUP OF 517(1,1)

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Analysis in Theory and Applications 1995年第3期11卷 52-61页

作者： Liu Jianming and zheng weixing (Nanjing University, China) Department of Mathematics Nanjing University Nanjing P. R. China

The decomposition of the representations T0(v∈R) ore considered here. The Plancherel formula for the universal covering group of SU(1,1) is also deduced.

关键词： THE DECOMPOSITION OF THE REPRESENTATIONS Tv AND THE PLANCHEREL FORMULA FOR THE UNIVERSAL COVERING GROUP OF 517

A CONSTRUCTIVE PROOF OF THE INVERSION FORMULA FOR ZONAL FUNCTIONS ON SL(2, R)

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Chinese Annals of Mathematics,Series B 1996年第1期17卷 81-88页

作者： XIAO CHANGBAI zheng weixing SU WEIYI (Department of Mathematics, Nanjing University Nanjing 210093, China.) Department of Mathematics Nanjing University Nanjing 210093 China

A constructive proof is given for the inversion formula for zonal functions on SL(2, R). A concretely constructed sequence of zonal drictions are proved to satisfy the inversion formula obtained by Harish-Chandra for compact supported infinitely differentiable zonal *** use of the property of this sequence somehow similar to that of approxination kernels,the authors deduce that the inversion formula is true for continuous zonal functions on SL(2, R)under some condition. The classical result can be viewed as a corollary of the results here.

关键词： Inversion formula Zonal function Approximation kernel

AN ASYMPTOTIC ORDER OF FOURIER TRANSFORM ON SL(2,R)

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Analysis in Theory and Applications 2003年第1期19卷 76-80页

作者： Wang Xinsong and zheng weixing (Nanjing University, China) Department of Mathematics Nanjing University Nanjing P. R. China

In this paper, a better asymptotic order of Fourier transform on SL(2,R) is obtained by using classical analysis and Lie analysis comparing with that of [5],[6] ,and the Plancherel theorem on C2i(SL(2,R)) is also obta... 详细信息

关键词： Fourier transform SL(2,R) Lie algebra Plancherel formula HS-norm