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ON SPECTRUM OF NETWORKS BASED ON MATRIX OF LINK-STATE AND ITS SYMMETRY

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Journal of Systems science & Complexity 2009年第2期22卷 243-251页

作者： Liuqing XIAO Shipeng ZHOU department of Mathematics Shanghai Jiao Tong University Shanghai 200030 China. school of business University of Shanghai for Science and Technology Shanghai 200093 China.

This paper constructs a new spectrum of networks by means of the matrix of link-state ofthe network,which can reveal the characteristics of the correlation between the degrees of the ***,the computation of this spectrum of networks is usually more feasible and more efficient due tothe much lower order of its matrix of link-state than its adjacent matrix in *** estimatesfor the bounds of the key eigenvalues in the spectrum are obtained,the corresponding inequalities arepresented and *** the sake of its application,the authors define spectrum of networks in twoways,and all theorems are given in parallel for both kinds of *** addition,the authors finda symmetry in the spectrum,which is relative to the characteristic of structure of its network to someextent.

关键词： Complex network Laplacian matrix matrix of link-state spectrum of networks symmetry

Lie bialgebras of generalized Witt type

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science china Mathematics 2006年第4期49卷 533-544页

作者： SONG Guang’ai & SU Yucai College of Mathematics and Information science, Shandong Institute of business and Technology, Yantai 264005, china department of Mathematics, University of science and Technology of china, Hefei 230026, china department of Mathematics, shanghai Jiaotong University, shanghai 200240, china College of Mathematics Information science Shandong Institute of Business Technology Yantai 264005 China department of Mathematics University of Science Technology of china Hefei 230026 China department of Mathematics Shanghai Jiaotong University Shanghai 200240 China

In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first cohomology group H1(W, W(?)W) is trivial.

关键词： Lie bialgebras, Yang-Baxter equation, Lie algebra of generalized Witt type.

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 Technology, shanghai 200093, china 2.business school, University of shanghai for science and Technology, shanghai 200093, china 3.school of science, Shandong University of Technology, Zibo Shandong 255049, 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

Superconductivity of small metal grains

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science china(Physics,Mechanics & Astronomy) 2005年第4期48卷 431-441页

作者： ZHENG Renrong1 CHEN Zhiqian2 & ZHU Shunquan1,3 1. department of Physics, shanghai Normal University, shanghai 200234, china 2. department of Physics, Southwest Normal University, Chongqing 400715, china 3. department of Computer and Electric Technology, shanghai business school, shanghai 201400, china 1. department of Physics Shanghai Normal University 200234 Shanghai China 2. department of Physics Southwest Normal University 400715 Chongqing China 3. department of Computer and Electric Technology Shanghai Business School 201400 Shanghai China

The formulas of the energy gap and superconducting critical temperature appropriate for systems with both odd and even number of electrons are derived; the bases of the derivations are BCS theory and energy level statistics. Numerical results qualitatively agree with the experimental phenomena. i.e., the superconductivity of small metallic grains will first enhance then decrease to zero when the grain are getting smaller and smaller. The calculations indicate that the above phenomena happen in the metallic grains belonging to Gaussian Orthogonal Ensemble (GOE) and Gaussian Unitary ensemble (GUE) with zero spin; The superconductivity of small metallic grains in Gaussian Symplectic Ensemble (GSE) will monotonically decrease to zero with the decreasing of the grain size. The analyses suggest that the superconductivity enhancements come from pairing and the balance of the strengths between spin-orbital coupling and external magnetic field. In order to take the latter into account, it is necessary to include the level statistics given by Random Matrix Theory (RMT) in describing small metallic grains.

关键词： size effect, superconductivity enhancements, small metallic grains.

A LINE SEARCH FILTER SECANT METHOD FOR NONLINEAR EQUALITY CONSTRAINED OPTIMIZATION

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Journal of Systems science & Complexity 2010年第2期23卷 343-361页

作者： Zhujun WANG Detong ZHU department of Mathematics Shanghai Normal University Shanghai 200234 China. business College Shanghai Normal University Shanghai 200234 China.

This paper formulates and analyzes a line search method for general nonlinear equalityconstrained optimization based on filter methods for step acceptance and secant methods for *** feature of the new algorithm is that the secant algorithm is used to produce a searchdirection,a backtracking line search procedure is used to generate step size,some filtered rules areused to determine step acceptance,second order correction technique is used to reduce infeasibility andovercome the Maratos *** convergence properties of this method are analyzed:under mildassumptions it is showed that every limit point of the sequence of iterates generated by the algorithmis feasible,and that there exists at least one limit point that is a stationary point for the ***,it is also established that the Maratos effect can be overcome in our new approach by addingsecond order correction steps so that fast local superlinear convergence to a second order sufficient localsolution is ***,the results of numerical experiments are reported to show the effectivenessof the line search filter secant method.

关键词： Filter method nonlinear programming secant algorithm second order correction.

A FILTER SECANT METHOD WITH NONMONOTONE LINE SEARCH FOR EQUALITY CONSTRAINED OPTIMIZATION

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Journal of Systems science & Complexity 2010年第4期23卷 846-860页

作者： Chao GU Detong ZHU school of Mathematics and Informatics Shanghai LiXin University of Commerce Shanghai 201620 China business College Shanghai Normal University Shanghai 200234 China

This paper proposes a filter secant method with nonmonotone line search for non-linearequality constrained *** Hessian of the Lagrangian is approximated using the BFGSsecant *** new method has more flexibility for the acceptance of the trial step and requires lesscomputational costs compared with the monotone *** global and local convergence of the proposedmethod are given under some reasonable ***,two-step Q-superlinear convergence rateis established by introducing second order correction *** numerical experiments are reported toshow the effectiveness of the proposed algorithm.

关键词： Convergence filter method line search nonmonotone secant update

Calculation of the molecular exchanging energy of binary surfactants system on the surface monolayer of aqueous solution

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science china Chemistry 2007年第4期50卷 468-475页

作者： WANG ZhengWu1 & YI XiZhang2 1 department of food sciences & Technology, school of Agriculture and Biology, shanghai Jiao Tong University, shanghai 200240, china 2 Institute of Theoretical Chemistry, Shandong University, Jinan 250100, china 1. department of food sciences & Technology School of Agriculture and Biology Shanghai Jiao Tong University Shanghai 200240 China 2. Institute of Theoretical Chemistry Shandong University Jinan 250100 China

By using the binary anionic/cationic surfactants system CH3(CH2)nOSO_3/CH3(CH2)nN+(CH3)3 as an ex-ample, the molecular exchanging energy (ε) of adsorption on the surface monolayer of aqueous solu-tion has been studied. ε can be obtained with two methods. One is from the relationship between ε and the molecule interaction parameter (β). This relationship is founded by considering that the adsorption of mixed surfactants on the surface monolayer of solution satisfies the dimensional crystal model condition under which β can be obtained by testing the surface tension of solution. The other is directly from the molecular structure of surfactants with the Lennard-Jones formula. The results for the studied system show that these two methods coincide well.

关键词： surfactant molecule exchanging energy dimensional crystal model

Enhanced activity of yqhD oxidoreductase in synthesis of 1,3-propanediol by error-prone PCR

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Progress in Natural science:Materials International 2008年第12期18卷 1519-1524页

作者： Hongmei Li~a Jia Chen~a Yinghua Li~b a Institute of food science and Biological Technology,University of shanghai for science and Technology,shanghai 200093,china b Institute of Pharmaceutical Engineering,Zhejiang University,Hangzhou 310027,china [a]Institute of food science and Biological Technology University of Shanghai for Science and Technology Shanghai 200093 China [b]Institute of Pharmaceutical Engineering Zhejiang University Hangzhou 310027 China

yqhD oxidoreductase was determined to be an NADP-dependent dehydrogenase,and was more active toward 3-HPA when compared to 1,3-propanediol *** further improve enzyme activity towards 3-hydroxypropionaldehyde (3-HPA),error-prone PCR was implemented to mutant yqhD *** mutants,D99QN147H and Q202A with increased catalytic and affinity efficiency,were obtained after one round of error-prone polymerase chain *** the catalytic efficiency of the mutant D99QN147H was up to 4-fold greater than the wild enzyme (0.0375 min-1mM-1vs.0.0078 min-1mM-1).The recombined strain containing pEY28yqhD D99QN147H yielded 28 g L-1of 1,3-propanediol in the fed-batch LB cultures (1 L volume) with an initial 3-HPA concentration of 40 g L-1,which was higher than the 21 and 17 g L-1of 1,3-propanediol from the mutant Q202A and the wild-type,*** for propionaldehyde,the optimal mutant D99QN147H also exhibited higher activity on a range of substituted aldehydes than the wild- type.

关键词： yqhD oxidoreductase Error-prone PCR Catalytic efficiency 1,3-Propanediol

Diffractive Interaction for Short Pulses in 2×2 System

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Journal of shanghai Jiaotong university(science) 2008年第4期13卷 499-508页

作者：袁明生 International business school Shanghai Institute of Foreign Trade

This paper studies the asymptotic behavior of the diffractive interaction of pulses with two linear phases of length ε ≤ 1 in 2 × 2 semilinear strictly hyperbolic system with constant coefficiients. By a formal analysis, it derives problems of profiles in the expansion of the pulse like solution with respect to the length s, and obtains that the leading profile satisfies a nonlinear Schrodinger type system. The problems of profiles are solved, and the formal expansion is justified. It is observed that there is interaction between two phases starting at the third order profiles.

关键词： short pulses diffractive interaction 2 × 2 system