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Robust H-infinity fuzzy control for uncertain Markovian jump nonlinear singular systems with wiener process

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控制理论与应用（英文版） 2010年第2期8卷 205-210页

作者： Aiqing ZHANG 1 , Huajing FANG 2.(1.College of mathematics and computer {2., jianghan university, wuhan hubei 43.056, China 2.Department of Control {2. and Engineering, Huazhong university of {2. and Technology, wuhan hubei 430074, China) College of mathematics and computer {2. Jianghan University Wuhan Hubei China Department of Control science and Engineering Huazhong University of Science and Technology Wuhan Hubei China

This paper deals with the problems of robust stochastic stabilization and H-infinity control for Markovian jump nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular system. The purpose of the robust stochastic stabilization problem is to design a state feedback fuzzy controller such that the closed-loop fuzzy system is robustly stochastically stable for all admissible uncertainties. In the robust H-infinity control problem, in addition to the stochastic stability requirement, a prescribed performance is required to be achieved. Linear matrix inequality (LMI) sufficient conditions are developed to solve these problems, respectively. The expressions of desired state feedback fuzzy controllers are given. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.

关键词： Fuzzy control H-infinity control Singular systems Stochastic stability Linear matrix inequality (LMI)

Singular Integral Equations with Cosecant Kernel in Solutions with Singularities of High Order

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wuhan university Journal of Natural {2.s 2005年第2期10卷 339-343页

作者： HAN Hui-li 1,2.,DU Jin-yuan 1,3 1. school of mathematics and Statistics, {2. university, {2. 430072. hubei, China 2. school of mathematics and computer, Ningxia university, Yinchuan 75002., Ningxia, China 3. Department of mathematics, hubei Institute for Nationalities, Enshi 445000, hubei, China wuhan university School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) Ningxia university School of Mathematics and Computer Yinchuan Ningxia China (GRID:grid.260987.2) (ISNI:***) wuhan university School of Mathematics and Statistics Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) hubei Institute for Nationalities Department of Mathematies Enshi Hubei China (GRID:grid.34418.3a) (ISNI:***)

We have discussed and solved the boundary value problem with period 2.π and the singular integral equation with kernel csc t-tv/a in solution having singularities of high order, where the smooth contour of integratio... 详细信息

关键词： boundary value problem singular integral equation the singularities of high order

A Hybrid Genetic Algorithm for Reduct of Attributes in Decision System Based on Rough Set Theory

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wuhan university Journal of Natural {2.s 2002年第3期7卷 285-289页

作者： Dai Jian\|hua 1,2., Li Yuan\|xiang 1,2.,Liu Qun 3 1. State Key Laboratory of Software Engineering, wuhan university, wuhan 430072. hubei,China 2. school of computer, wuhan university, wuhan 430072. hubei, China 3. school of computer {12., wuhan university State Key Laboratory of Software Engineering Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) wuhan university School of Computer Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) Chongqing university of Posts & Telecommunications School of Computer Science Chongqing China (GRID:grid.411587.e) (ISNI:***)

Knowledge reduction is an important issue when dealing with huge amounts of data. And it has been proved that computing the minimal reduct of decision system is NP-complete. By introducing heuristic information into genetic algorithm, we proposed a heuristic genetic algorithm. In the genetic algorithm, we constructed a new operator to maintaining the classification ability. The experiment shows that our algorithm is efficient and effective for minimal reduct, even for the special example that the simple heuristic algorithm can’t get the right result.

关键词： rough set reduction genetic algorithm heuristic algorithm

Hierarchical Classification of Chinese Documents Based on N grams

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wuhan university Journal of Natural {2.s 2001年第Z1期6卷 416-422页

作者： Zhou Shui geng 1, Guan Ji hong 2. He Yan xiang 2.1. State Key Laboratory of Software Engineering, wuhan university, wuhan 430072. China 2. school of computer science, wuhan university, wuhan 430072. China State Key Laboratory of Software Engineering Wuhan University Wuhan China school of computer {2. Wuhan University Wuhan China

We explore the techniques of utilizing N gram information to categorize Chinese text documents hierarchically so that the classifier can shake off the burden of large dictionaries and complex segmentation processing, and subsequently be domain and time independent. A hierarchical Chinese text classifier is implemented. Experimental results show that hierarchically classifying Chinese text documents based N grams can achieve satisfactory performance and outperforms the other traditional Chinese text classifiers.

关键词： Chinese text classification N grams feature selection hierarchical classification

LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR SUMS OF NEGATIVELY DEPENDENT RANDOM VARIABLES

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Acta Mathematica Scientia 2011年第1期31卷 344-352页

作者：刘莉万成高冯艳钦 school of mathematics and Statistics Wuhan University school of Mathmatics and computer {2. Hubei University

In this article, we obtain the large deviations and moderate deviations for negatively dependent （ND） and non-identically distributed random variables defined on （-∞, ＋∞）. The results show that for some non-identical random variables, precise large deviations and moderate deviations remain insensitive to negative dependence structure.

关键词： Large deviation moderate deviation negative dependence non-identical distribution

Weighted composition operators between μ-Bloch spaces on the unit ball

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science China mathematics 2005年第10期48卷 1349-1368页

作者： ZHANG Xuejun~1 & XIAO Jianbin~2.1. College of mathematics and computer {2.,Hunan Normal university,Changsha 410006,China(email:xuejunttt@2.3. net) 2. The school of {2.,Hangzhou Dianzi university,Hangzhou 310037,China 1. College of mathematics and computer {2. Hunan Normal University 410006 Changsha China 2. The school of science Hangzhou Dianzi University 310037 Hangzhou China

In this paper,necessary and sufficient conditions are given for the weighted composition operator T_(ψ,ψ) to be bounded or compact from the space β_μ to β_ν (or β_(μ,0) to β_(ν,0) ) on the unit ball of C^***... 详细信息

关键词： μ-Bloch space, weighted composition operator, boundedness, compactness.

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 {2. 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 1. school of mathematics and {2. 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

Prediction of Tumor Outcome Based on Gene Expression Data

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wuhan university Journal of Natural {2.s 2004年第2期9卷 177-182页

作者： Liu Juan 1,2. Hitoshi Iba 3 1. school of computer, {2. university, {2. 430072. hubei, China 2. State Key Laboratory of Software Engineering, {2. 430072. hubei, China 3. Department of Frontier Informatics, university of Tokyo, Tokyo 113-8656, Japan wuhan university School of Computer Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) State Key Laboratory of Software Engineering Wuhan Hubei China (GRID:grid.49470.3e) university of Tokyo Department of Frontier Informatics Tokyo Japan (GRID:grid.26999.3d) (ISNI:***)

Gene expression microarray data can be used to classify tumor types. We proposed a new procedure to classify human tumor samples based on microarray gene expressions by using a hybrid supervised learning method called MOEA+WV (Multi-Objective Evolutionary Algorithm+Weighted Voting). MOEA is used to search for a relatively few subsets of informative genes from the high-dimensional gene space, and WV is used as a classification tool. This new method has been applied to predicate the subtypes of lymphoma and outcomes of medulloblastoma. The results are relatively accurate and meaningful compared to those from other methods. Key words bioinformatics - tumor classification - Pareto optimization - MOEA CLC number Q 786 - TP 181 Foundation item: Supported by the National Natural science Foundation of China (60301009), the Foundation of Young Scholars of Ministry of Education of China (150118) and Chenguang Project of wuhan City (2.112.009).Biography: Liu Juan (1970-), female, Associate Professor, Postdoctoral, research direction: bioinformatics, data mining, machine learning.

关键词： bioinformatics tumor classification Pareto optimization MOEA

Accountability Analysis of Electronic Commerce Protocols by Finite Automaton Model

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wuhan university Journal of Natural {2.s 2004年第3期9卷 293-295页

作者： Xie Xiao-yao 1,2., Zhang Huan-guo 1 1. school of computer, {2. university, {2. 430072. hubei, China 2. Institute of Network Technology, Guizhou university of Technology, Guiyang 550003, Guizhou, China wuhan university School of Computer Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***) Guizhou university of Technology Institute of Network Technology Guiyang Guizhou China (GRID:grid.443382.a) (ISNI:***) wuhan university School of Computer Wuhan Hubei China (GRID:grid.49470.3e) (ISNI:***)

The accountability of electronic commerce protocols is an important aspect to insures security of electronic transaction. This paper proposes to use Finite Automaton (FA) model as a new kind of framework to analyze the transaction protocols in the application of electronic commerce. Key words finite automaton - electronic commerce - nonrepudiation - information security CLC number TP 393. 08 Foundation item: Supported by the National Natural science Foundation of China (66973034, 90104005, 60373087)Biography: Xie Xiao-yao (1952.), male, Professor, Ph. D candidate, research direction: information security.

关键词： finite automaton electronic commerce nonrepudiation information security