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ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES

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Acta Mathematica Scientia 2010年第5期30卷 1696-1708页

作者：毛明志李志民 school of mathematics and {2. China University of Geosciences Department of Applied mathematics and physics Anhui Institute of Science and Technology

In this article, we mainly discuss the asymptotic behavior for multi-dimensional continuous-time random walk in random environment with holding times. By constructing a renewal structure and using the point ＂environment viewed from the particle＂, under General Kalikow＇s Condition, we show the law of large numbers （LLN） and central limit theorem （CLT） for the escape speed of random walk.

关键词： random walk random environment central limit theorem law of large numbers renewal structure

ESKD-A New Structure of Expert System Based on Knowledge Discovery

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International Journal of Minerals,Metallurgy and Materials 2000年第1期14卷 63-71页

作者： Bingru Yang Fasheng liu Jiangtao Shen information Engineering school, University of {2. and technology Beijing, Beijing, 100083, china information Engineering school University of Science and Technology Beijing Beijing 100083 China

A new structure of ESKD (expert system based on knowledge discovery system KD (D&K)) is first presented on the basis of KD (D&K)-a synthesized knowledge discovery system based on double-base (database and knowledge base) cooperating mechanism. With all new features, ESKD may form a new research direction and provide a great probability for solving the wealth of knowledge in the knowledge base. The general structural frame of ESKD and some sub-systems among ESKD have been described, and the dynamic knowledge base based on double-base cooperating mechanism has been emphased on. According to the result of demonstrative experi- ment, the structure of ESKD is effective and feasible.

关键词： knowledge discovery expert system dynamic knowledge base, double-base cooperating mechanism

K_0-group and approximate similarity invariants of strongly irreducible operators

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science china {2. 2008年第12期51卷 2231-2252页

作者： HE Hua1, SHI Rui1,2.& MA XiuJuan1 1 school of science, Hebei University of {2., Tianjin 300130, china 2.school of mathematics and information science, Hebei Normal University, Shijiazhuang 050016, china school of science Hebei University of Technology Tianjin China school of mathematics and {2. science Hebei Normal University Shijiazhuang China

Let H olenote a complex separable Hilbert space and L(H) denote the collection of bounded linear operators on H. An operator T ∈ L(H) is said to be strongly irreducible if T does not commute with any nontrivial idempotent. Herrero and Jiang showed that the norm-closure of the class of all strongly irreducible operators is the class of all operators with connected spectrum. This result can be considered as an "approximate inverse" of the Riesz decomposition theorem. In the paper, we give a more precise characterization of approximate invariants of strongly irreducible operators. The main result is: For any T ∈ L(H) with connected spectrum and ε > 0, there exists a strongly irreducible operator A, such that A - T < ε, V (A (A)) =～ N, K0(A (A)) ～= Z, and A (A)/rad A (A) is commutative, where A (A) denotes the commutant of A and rad A (A) denotes the Jacobson radical of A (A). The research is inspired by the recent similarity classification technique of Cowen-Douglas operators of Jiang Chunlan.

关键词： strongly irreducible operators Cowen-Douglas operators K0-group similarity orbit

A multicast routing algorithm with multiple trees

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Journal of Systems Engineering and Electronics 2005年第2期16卷 426-432页

作者： Cui Xunxue 1,2., Gao Wei3 & Fang Hongyu41. New Star Research Institute of Applied technology, Hefei 2.0031, P. R. china 2. Jiangsu Key Laboratory of Computer {2. Processing technology,Soochow University, Suzhou 2.5006, P. R. china 3. Department of Electronic Engineering and {2. science,University of science and technology of china, Hefei 2.002., P. R. china 4. school of Electronic science and technology, Anhui University, Hefei 2.0039, P. R. china New Star Research Institute of Applied technology Hefei 230031 P. R. China 2. Jiangsu Key Laboratory of Computer information Processing technology Soochow University Suzhou 215006 P. R. China Department of Electronic Engineering and information science University of Science and Technology of China Hefei 230027 P. R. China school of Electronic science and {2. Anhui University Hefei 230039 P. R. China

Quality of service (QoS) multicast routing has continued to be a very important research topic in the Internet. A method of multicast routing is proposed to simultaneously optimize several parameters based on multiobjective genetic algorithm, after the related work is reviewed. The contribution lies on that the selection process of such routing is treated with multiobjective optimization. Different quality criterions in IP network are taken into account for multicast communications. A set of routing trees is generated to approximate the Pareto front of multicast problem. Multiple trees can be selected from the final set of nondominated solutions, and applied to obtain a good overall link cost and balance traffic distribution according to some simulation results.

关键词： multicast routing quality of service multiobjective optimization genetic algorithms.

A new approximating method for Holstein model

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science china({2.,Mechanics & Astronomy) 2010年第1期53卷 44-48页

作者： REN XueZao 1 , LIAO Xu 1 , LI Lei 1 & WANG KeLin 2.1 school of science, Southwest University of science and technology, Mian Yang 62.010, china 2.Department of Modern physics, University of science and technology of china, Hefei 2.002., china Southwest University of science and technology School of Science Mian Yang China (GRID:grid.440649.b) (ISNI:***) University of science and technology of {2. Department of Modern Physics Hefei China (GRID:grid.59053.3a) (ISNI:***)

A new approach-the method of coherent state orthogonal expansion is developed for one-dimensional Holstein model. In zeroth order approximation, the formula of ground state energy is deduced analytically and the solutions in strong- and weak-coupling limits are obtained correctly. When the trial wave-function of ground state is expanded to the second order, the obtained ground state energy agrees quite well with that calculated by numerical method in all coupling regimes. The present approach can be easily generalized to the situations of higher dimensions and more electrons.

关键词： coherent-state orthogonal expansion polaron simulated annealing method

Numerical calculation on temperature field of FGH95 alloy droplet during rapid solidification

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Journal of University of science and technology Beijing 2003年第3期10卷 51-54页

作者： Huanming Chen and Benfu Hu Materials science and Engineering school, University of science and technology Beijing, Beijing 100083,china physics and Electrical information Engineering school, Ningxia University, Yinchuan 75002.,china Univ Sci & Technol Beijing Sch Mat Sci & Engn Beijing 100083 Peoples R China Ningxia Univ Phys & Elect Informat Engn Sch Yinchuan 750021 Peoples R China

The temperature field of FGH95 alloy droplet atomized by plasma rotatingelectrode processing (PREP) during solidification has been calculated through numerical analysisbased on equivalent sensible heat capacity method. And thus the relational curves among temperaturegradient of solid-liquid interface, moving velocity of solid-liquid interface and solid fractionduring solidification have been presented. The results indicate that the relation between averagetemperature gradient of solid-liquid interface and droplet size, and the relation between averagemoving velocity of solid-liquid interface and droplet size can be expressed during solidification.

关键词： FGH95 alloy droplet temperature field numerical calculation

Loop reduction techniques for reachability analysis of linear hybrid automata

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science china({2. sciences) 2012年第12期55卷 2663-2674页

作者： PAN MinXue,LI You,BU Lei & LI XuanDong State Key Laboratory for Novel Software technology,Department of Computer science and technology,nanjing University,nanjing 2.0093,china State Key Laboratory for Novel Software technology Department of Computer Science and Technology Nanjing University Nanjing China

The problem of reachability analysis of linear hybrid automata(LHA) is very *** paper considers to improve the efficiency of the reachability analysis by optimizing the structures of *** identify two types of loops called the flexible loops and the zero loops,and present the techniques to replace the repetitions of those loops in the behavior of LHA with finite sequences of locations and in the meantime simplify the associated *** techniques work not only for the polyhedral computing based algorithms but also for the bounded model checkers.

关键词： real-time and hybrid systems linear hybrid automata reachability analysis

Statistical theory for hydrogen bonding fluid system of A_aD_d type (I): The geometrical phase transition

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science china Chemistry 2006年第6期49卷 499-506页

作者： WANG Haijun1,2. HONG Xiaozhong3, GU Fang1 & BA Xinwu1 1. College of Chemistry and Environment science, Hebei University, Baoding 071002. china 2. International Center for Materials {2., Chinese Academy of sciences, Shenyang 110016, china 3. College of {2. science and technology, Hebei University, Baoding 071002. china College of Chemistry and Environment science Hebei University Baoding China International Center for Materials physics Chinese Academy of Sciences Shenyang China College of physics science and {2. Hebei University Baoding China

The influence of hydrogen bonds on the physical and chemical properties of hydrogen bonding fluid system of AaDd type is investigated from two viewpoints by the principle of statistical mechanics. In detail, we proposed two new ways that can be used to obtain the equilibrium size distribution of the hydrogen bonding clusters, and derived the analytical expression of a relationship between the hydrogen bonding free energy and hydrogen bonding degree. For the nonlinear hydrogen bonding systems, it is shown that the sol-gel phase transition can take place under proper conditions, which is further proven to be a kind of geometrical phase transition rather than a thermodynamic one. Moreover, several problems associated with the geometrical phase transition and liquid-solid phase transition in nonlinear hydrogen bonding systems are discussed.

关键词： hydrogen bonding fluid, equilibrium free energy, geometrical phase transition.

Dynamic feedback robust stabilization of nonholonomic mobile robots based on visual servoing

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控制理论与应用（英文版） 2010年第2期8卷 139-144页

作者： Chaoli WANG 1 , Zhenying LIANG 2., 3 , Qingwei JIA 4 (1.Department of Control science and Engineering, University of Shanghai for science and {2., Shanghai 2.0093, china 2.Business school, University of Shanghai for science and {2., Shanghai 2.0093, china 3.school of science, Shandong University of {2., Zibo Shandong 2.5049, china 4.Research & Development Centre, Hitachi Asia Ltd, Hitachi Tower, Singapore 049318) Department of Control science and Engineering University of Shanghai for Science and Technology Shanghai China Business school University of Shanghai for Science and Technology Shanghai China school of science Shandong University of Technology Zibo Shandong China Research & Development Centre Hitachi Asia Ltd Hitachi Tower Singapore

This paper investigates the visual servoing robust stabilization of nonholonomic mobile robots. The calibration of visual parameters is not only complicated, but also needs great consumption of calculated time so that the accurate calibration is impossible in some situations for high requirement of real timing. Hence, it is interesting and important to consider the design of stabilizing controllers for nonholonomic kinematic systems with uncalibrated visual parameters. A novel uncertain model of these nonholonomic kinematic systems is proposed. Based on this model, a stabilizing controller is discussed by using dynamic feedback and two-step techniques. The proposed robust controller makes the mobile robot image pose and the orientation converge to the desired configuration despite the lack of depth information and the lack of precise visual parameters. The stability of the closed loop system is rigorously proved. The simulation is given to show the effectiveness of the presented controllers.

关键词： Nonholonomic system Uncalibrated visual parameters Stabilization Dynamic feedback