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Novel delay-distribution-dependent stability analysis for continuous-time recurrent neural networks with stochastic delay

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Chinese physics B 2012年第12期21卷 161-167页

作者：王申全冯健赵青 college of information science and Engineering Northeastern University Department of Electrical and Computer Engineering University of Alberta

In this paper, the problem of delay-distribution-dependent stability is investigated for continuous-time recurrent neural networks （CRNNs） with stochastic delay. Different from the common assumptions on time delays, it is assumed that the probability distribution of the delay taking values in some intervals is known a priori. By making full use of the information concerning the probability distribution of the delay and by using a tighter bounding technique （the reciprocally convex combination method）, less conservative asymptotic mean-square stable sufficient conditions are derived in terms of linear matrix inequalities （LMIs）. Two numerical examples show that our results are better than the existing ones.

关键词： recurrent neural networks stochastic delay mean-square stability linear matrix inequal- ity

Semi-Blind Hebb-PPIC Multiuser Detection Algorithm

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Semi-Blind Hebb-PPIC Multiuser Detection Algorithm

INTEGRABLE COUPLINGS OF THE TB HIERARCHY AND ITS HAMILTONIAN STRUCTURE

2010 Second Asia-Pacific Conference on information Processing (APCIP 2010)

作者： Li Yanping and Zong Hengshan college of information Engineering Taiyuan university of technology Shanxi Province china Zhang Yongbo physics and Electronics information college Yan’an university Yan’an china

Inter-cell interference greatly impairs the capacity of CDMA system.4G era is coming with much severer inter-cell interference,and it’s important to find a good solution to inter-cell Interference *** this paper,the semi-blind Hebb-PPIC Multi-User Detection（MUD） algorithm which applied in the CDMA uplink is *** approach fully utilizes all known users’ information,performs Hebb-PPIC detector to suppress the int-erferers within the cell,and exploits the blind detector to suppress the inter-cell *** results demonstrate that the proposed Hebb-PPIC semi-blind algorithm offers substantial perfo-rmance gains over the blind multi-user detection methods,and the Multiple Access Interference and Near-Far effect can be suppressed effectively in a CDMA uplink environment.

关键词： Inter-cell interference Hebb-PPIC Multi-user Detection

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Annals of Differential Equations 2008年第1期24卷 112-116页

作者： Zhang Yu Dong Huanhe (college of information science and Engineering,Shandong university of science and technology,Qingdao 266510,Shandong) Li Zhu (college of math.and Inform.science,Xinyang Normal university,Xinyang 464000,Henan)

In this paper,we obtain integrable couplings of the TB hierarchy using the new subalgebra of the loop algebra *** the Hamiltonian structure of the above system is given by the quadratic-form identity.

关键词： semi-direct sums of Lie algebras the TB hierarchy-integrable couplings quadratic-form identity Hamiltonian structure

A Class of Iterative Formulae for Solving Equations

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Journal of mathematical Research and Exposition 2010年第2期30卷 217-226页

作者： Sheng Feng LI1,2,3, Jie Qing TAN1,2, Jin XIE1,2,4, Xing HUO1,2 1. School of Computer & information, Hefei university of technology, Anhui 230009, P. R. china 2. Institute of Applied mathematics, Hefei university of technology, Anhui 230009, P. R. china 3. Department of mathematics & physics, Bengbu college, Anhui 233030, P. R. china 4. Department of mathematics & physics, Hefei university, Anhui 230601, P. R. china School of Computer & information Hefei University of Technology Anhui 230009

Using the forms of Newton iterative function, the iterative function of Newton’s method to handle the problem of multiple roots and the Halley iterative function, we give a class of iterative formulae for solving equations in one variable in this paper and show that their convergence order is at least quadratic. At last we employ our methods to solve some non-linear equations and compare them with Newton’s method and Halley’s method. Numerical results show that our iteration schemes are convergent if we choose two suitable parametric functions λ（x） and μ（x）. Therefore, our iteration schemes are feasible and effective.

关键词： Non-linear equation iterative function order of convergence Newton's method Halley's method.

Differentiation transforming system

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Progress in Natural science:Materials International 2009年第3期19卷 397-406页

作者： Qiang Chenga,b,c,*, Haibin Zhang d, Bin Wanga, Yonghua Zhao c a LASG, Institute of Atmospheric physics, Chinese Academy of sciences, Beijing 100029, PR china b LSEC, Institute of Computing mathematics, Chinese Academy of sciences, Beijing 100080, PR china c SC, Institute of Computer Network information Center, Chinese Academy of sciences, Beijing 100190, PR china d college of Applied sciences, Beijing university of technology, Beijing 100124, PR china LASG Institute of Atmospheric Physics Chinese Academy of Sciences Beijing 100029 PR China LSEC Institute of Computing Mathematics Chinese Academy of Sciences Beijing 100080 PR China SC Institute of Computer Network Information Center Chinese Academy of Sciences Beijing 100190 PR China college of Applied sciences Beijing University of Technology Beijing 100124 PR China

The differentiation transforming (DFT) system is developed to produce the tangent linear codes, which is used to calculate the Jaco- bian- and the Hessian-vector products with no truncation errors. This paper first gives the introduction of the functionality and features of the DFT system, and then discusses several techniques for the implementation of automatic differentiation tools, including data depen- dence analysis, singular differentiation and code optimization. Finally, the codes generated with DFT used in several applications have been demonstrated.

关键词： Jacobian Hessian Tangent linear model Automatic differentiation

一类时滞微分方程周期解的存在性与Maslov型指标估计(英文)

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南京大学学报(数学半年刊) 2011年第1期28卷 8-15页

作者：成荣徐中兵南京信息工程大学数理学院

本文研究一类可以变换成哈密顿系统的时滞微分方程.通过对辛道路的Maslov型指标的估计,在较先前文献中更弱的条件下,建立了这类方程周期解的存在性定理.

关键词：周期解时滞微分方程 Maslov型指标

ON SQUARE-MEAN ALMOST AUTOMORPHIC MILD SOLUTIONS TO SOME STOCHASTIC DELAY EQUATIONS I:EXISTENCE AND UNIQUENESS

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Annals of Differential Equations 2012年第3期28卷 297-305页

作者： Xiliang Li 1,2,Yuliang Han 2 1.math.and science college,Shanghai Normal university,Shanghai 200235 2.college of math.and information sciences,Shandong Institute of Business and technology,Yantai 264005,Shandong

In this paper,we aim to study the existence and uniqueness of square-mean almost automorphic mild solution to a stochastic delay equation under some suitable assumptions imposed on its *** an application,almost automorphic mild solutions to a class of stochastic partial functional differential equations are analyzed,which shows the feasibility of our results.

关键词： square-mean almost automorphy stochastic functional differential equations

Performance of dual-band short-or mid-wavelength infrared photodetectors based on InGaAsSb bulk materials and InAs/GaSb superlattices

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Chinese physics B 2017年第9期26卷 526-529页

作者：孙姚耀吕粤希韩玺郭春妍蒋志郝宏玥蒋洞微王国伟徐应强牛智川 State Key Laboratory for Supedattices and Microstructures Institute of SemiconductorsChinese Academy of SciencesBeijing 100083China college of Materials science and Opto-Electronic technology University of Chinese Academy of SciencesBeijing 100049China Synergetic Innovation Center of Quantum information and Quantum physics University of Science and Technology of ChinaHefei 230026China

In this paper,we demonstrate bias-selectable dual-band short-or mid-wavelength infrared photodetectors based on In0.24Ga0.76As0.21Sb0.79 bulk materials and InAs/GaSb type-II superlattices with cutoff wavelengths of 2.2μm and 3.6μm,*** 200 K,the short-wave channel exhibits a peak quantum efficiency of 42%and a dark current density of5.93×10^-5）/cm^2at 500 mV,thereby providing a detectivity of 1.55×10^11cm·Hz^1/2/*** mid-wave channel exhibits a peak quantum efficiency of 31%and a dark current density of 1.22×10^-3A/cm^2at-300 mV,thereby resulting in a detectivity of 2.71×10^10cm·Hz^1/2/***,we discuss the band alignment and spectral cross-talk of the dual-band n-i-p-p-i-n structure.

关键词： short-/mid-wavelength InGaAsSb InAs/GaSb

UNIQUENESS OF LIMIT CYCLE FOR A CLASS OF QUARTIC SYSTEM ACCOMPANYING WITH QUADRATIC SYSTEM

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Annals of Differential Equations 2008年第2期24卷 239-245页

作者： Zhan Qingyi(college of Computer and information science,Fujian Agriculture and Forestry university,Fuzhou 350002) Xie Xiangdong(Dept. of math.,Ningde Teachers college,Ningde 352100,Fujian) Wu Chengqiang(college of math. and Computer science,Fuzhou university,Fuzhou 350002)

In this paper,we consider a class of quartic system,which is more general and realistic than the quartic accompanying system. Consequently,we obtain sufficient conditions concerning the uniqueness of limit cycle as we... 详细信息

关键词： accompanying system limit cycle uniqueness