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Stability of neutral stochastic differential equations

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Chinese science Bulletin 1997年第13期42卷 1143-1144页

作者： LIAO Xiaoxi and MAO Xuerong1 department of Automatic Control, huazhong university of science and technology, {2., china 2.department of Statistics and Modelling science, university of Strathclyde GL LXH, U K.

Let ω（t） = （ω1（t）,…, ωm（t））T be a Brownian motion defined on a complete probabili-ty space （Ω, F, P）. τ>0, A, B, C are n×n matrices. σ: R+×Rn×Rn→Rn×n, whichis locally Lipschitz continuous and satisfies the linear growth condition. Theorem 1. Assume that there exists a symmetric nonnegative n×n matrix D such thatthe symmetric

关键词： root

A new geometric approach to blind source separation of bounded sources

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Progress in Natural science:Materials International 2009年第7期19卷 891-896页

作者： Jinlong Zhang a, Guoxu Zhoua, Zuyuan Yang a, Xiaoxin Liao b a School of Electrics & Information Engineering, South china university of {2., Guangzhou 510641, china b department of Control science and Engineering, huazhong university of science and technology, wuhan 430074, china [a]School of Electrics & Information Engineering South China University of Technology Guangzhou 510641 China [b]Department of Control Science and Engineering Huazhong University of Science and Technology Wuhan 430074 China

Based on the minimum-range approach, a new geometric approach is proposed to deal with blind source separation in this paper. The new approach is the batch mode of the original minimum-range approach. Compared with the original approach, the optimization algorithm of the proposed approach needs no parameters and is more efficient and reliable. In addition, the extension of minimum-rangebased approaches is discussed. The simulations show the efficiency of the proposed approach.

关键词： Blind source separation Independent component analysis Minimum-range approach

Cavity-Enhanced Third Harmonic Generation

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Communications in Theoretical Physics 2005年第2期43卷 318-320页

作者： YANG Xiao-Xue~1 WU Ying~(1,2.1 State Key Laboratory for Laser Technique and Physics department,huazhong university of science and technology,{2.,china2.Center for Cold Atom Physics,the Chinese Academy of sciences,wuhan 430071,china State Key Laboratory for Laser Technique and Physics department Huazhong University of Science and Technology Center for Cold Atom Physics the Chinese Academy of Sciences

We derive the analytical expression of microcavity-enhanced factor for third harmonic generation in termsof detunings,linewidths,and the Purcell factors of the relevant microcavity *** is suitable for microcavitics wi... 详细信息

关键词： microcavities third harmonic generation quantum optics multi-wave mixing

Quasi-sure Limit Theorem of Parabolic Stochastic Partial Differential Equations

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Acta Mathematicae Applicatae Sinica 2004年第4期 719-730页

作者： Xi Cheng ZHANG department of Mathematics,huazhong university of science and technology,{2.,P.R.china

In this paper we prove a quasi-sure limit theorem of parabolic stochastic partial differentialequations with smooth coefficients and some initial conditions,by the way,we obtain the quasi-surecontinuity of the solution.

关键词： Stochastic partial differential equation Capacity Quasi-sure continuous Malliavin’s calculus

Polymerization of Styrene and 1,3-Butadiene by Catalyst Systems Based on Calix[4]arene Neodymium Complexes

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Chinese Chemical Letters 1999年第7期10卷 597-600页

作者： Yan Song ZHENG Zhi Quan SHEN(department of Chemistry, huazhong university of science and technology {2.)(Institute of Polymer sciences and Materials, Zhejiang university Hangzhou 31002.) huazhong Univ Sci & Technol Dept Chem Wuhan 430074 Peoples R China Zhejiang Univ Inst Polymer Sci & Mat Hangzhou 310027 Peoples R China

Polymerization of styrene and 1,3-butadiene were performed by calix[4]arene-neodymium complexes using di-n-butylmagnesium and tri-iso-butylaluminum as cocatalyst respectively. The effect of the substituent groups in c... 详细信息

关键词： calixarene-neodymium complexes polymerization catalyst

Multi-spectral image fusion method based on two channels non-separable wavelets

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science in china(Series F) 2008年第12期51卷 2022-2032页

作者： LIU Bin1,2.& PENG JiaXiong3 1 School of Mathematics and Computer science, Hubei university, {2. 430062. china 2.Key Laboratory of Applied Mathematics of Hubei Province, {2. 430062. china 3 Institute of Image Recognition and Artificial Intelligence, huazhong university of science and technology, wuhan 430074, china 1. School of Mathematics and Computer science Hubei University Wuhan 430062 China 2. Key Laboratory of Applied Mathematics of Hubei Province Wuhan 430062 China 3. Institute of Image Recognition and Artificial Intelligence Huazhong University of Science and Technology Wuhan 430074 China

A construction method of two channels non-separable wavelets filter bank which dilation matrix is [1, 1; 1,-1] and its application in the fusion of multi-spectral image are presented. Many 4×4 filter banks are designed. The multi-spectral image fusion algorithm based on this kind of wavelet is proposed. Using this filter bank, multi-resolution wavelet decomposition of the intensity of multi-spectral image and panchromatic image is performed, and the two low-frequency components of the intensity and the panchromatic image are merged by using a tradeoff parameter. The experiment results show that this method is good in the preservation of spectral quality and high spatial resolution information. Its performance in preserving spectral quality and high spatial information is better than the fusion method based on DWFT and IHS. When the parameter t is closed to 1, the fused image can obtain rich spectral information from the original MS image. The amount of computation reduced to only half of the fusion method based on four channels wavelet transform.

关键词： image fusion non-separable wavelets multi-spectral image panchromatic image

Spectral anomalies and spectral switches of partially coherent and polychromatic light diffracted at an aperture

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science china(Physics,{2. & Astronomy) 2004年第1期47卷 24-35页

作者： Lü Baida1, 3 & PAN Liuzhan1, 2.1. Institute of Laser Physics and Chemistry, Sichuan university, Chengdu 610064, china 2. {2. of Physics, Luoyang Normal College, Luoyang 47102., china 3. State Key Laboratory of Laser technology, huazhong university of science and technology, wuhan 430074, china Correspondence should be addressed to L Baida (email: badalu@***) Received July 10, 2.03 1. Institute of Laser Physics and Chemistry Sichuan University 610064 Chengdu China 2. State Key Laboratory of Laser technology Huazhong University of Science and Technology 430074 Wuhan China 3. department of Physics Luoyang Normal College 471022 Luoyang China

Based on the propagation theory of partially coherent light in the space-frequency domain, the anomalous spectral behavior and spectral switches in the far field of partially coherent and polychromatic light diffracted at an aperture are studied. It is shown that, as compared with spatially fully coherent and polychromatic light whose spectral anomalies are induced only by aperture diffraction, the spectral anomalies and spectral switches of partially coherent and polychromatic light depend on the aperture diffraction, spatial correlationβ and bandwidth of the original spectrum. Detailed numerical calculations are made to illustrate the behavior of spectral switches of partially coherent and polychromatic light, and the results for spatially fully coherent and polychromatic light are treated as a special case ofβ=1 and included in our theory.

关键词： spectral anomaly spectral switch partially coherent and polychromatic light far field aperture diffraction

An AI Embedded Object-Oriented Approach for Formulating Computable General Equilibrium

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Journal of Systems Engineering and Electronics 2000年第1期11卷 14-21页

作者： Li Tong (department of Automatic Control Engineering, huazhong university of science and technology, {2., P. R. china) Chen Shuheng (department of Economics, National Chengchi university, Taipei, 1162.) Feng Shan (department of Automatic Control department of Automatic Control Engineering Huazhong University of Science and Technology Wuhan 430074 P. R. China department of Economics National Chengchi University Taipei 11623

This paper proposes and illustrates an AI embedded object-oriented methodology to formulate the computable general equilibrium (CGE) models. In this framework, a CGE model is viewed as a collection of objects embedded AI or namely agents in computer world, corresponding to economic agents and entities in real world, such as government, households, markets and so on. A frame representation of major objects in CGE model is used for trade and environment. Embedded Al object-oriented approach (or software agent) is used in the CGE model representation can able to narrow the gap among the semantic representation, formal CGE (mathematical) representation and computer and algorithm representation, and to improve CGE in understanding and maintenance etc. In such a system, constructing a CGE model to appear an intuitive process rather than an abstract process. This intuitive process needs more understanding of the substance of economics and the logic underlying the problem rather than mathematical notation.

关键词： Computable general equilibrium Artificial intelligence Object-oriented method Agents.

The　Educational　Efficiency　in　the　Economic　Growth　with　Exhaustible　Resource：An　endogenous　technical　progress　model

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Systems science and Systems Engineering 1996年第3期6卷 273-280页

作者： LI Chulin LI Dong(department of Mathematics, department of Quantitatives Economics {2. wuhan, Hubei 430074, china)

In this paper we consider optimal economic growth in the presence of exhaustible resource, exogenous population growth, and endogenous technical progress. A production function with endogenous technical progress and a more appropriate objective function are suggested. In this new framework we determine the conditions required to ensure exponentially growing, as opposed to declining, consumption. Optimal per capita consumption will be less likely to be incerasing when: the educational efficiency is low; the planner cares little about future; population grows rapidly; and the elasticity of marginal utility is high.

关键词： economic growth endogenous technical progress educational efficiency