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Decentralized H-infinity state feedback control for discrete-time singular large-scale systems

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控制理论与应用（英文版） 2010年第2期8卷 200-204页

作者： Songlin WO 1., Yun ZOU 2., Shengyuan XU 2.(1.School of Electrical and Information Engineering, Jiangsu teachers University of Technology, Changzhou Jiangsu 2.3001. china 2.School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 2.0094, china) School of Electrical and Information Engineering Jiangsu Teachers University of Technology Changzhou Jiangsu China School of Automation Nanjing University of Science and Technology Nanjing Jiangsu China

The decentralized H-infinity control problem for discrete-time singular large-scale systems is considered. Based on the bounded real lemma of discrete-time singular systems, a sufficient condition for the existence of decentralized H-infinity controller for discrete-time singular large-scale systems is presented in terms of the solvability to a certain system of linear matrix inequalities by linear matrix inequality (LMI) approach, and the feasible solutions to the system of LMIs provide a parameterized representation of a set of decentralized H-infinity controller. The given example shows the application of the method.

关键词： Discrete-time singular large-scale system Linear matrix inequality (LMI) Decentralized H-infinity control

Synthesize TiO_2.microspheres self-assembled from nanorods via hydrothermal treatment

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Science china Chemistry 2007年第2期50卷 175-178页

作者： ZHANG YiBing1.2.FENG XinJian3 & JIANG Lei2.3 1.Shangrao teachers’ College,Shangrao 334001.china 2.National Center for Nanoscience and Nanotechnology,Beijing 1.0080,china 3 Institute of Chemistry,Chinese Academy of Sciences,Beijing 1.0080,china 1. Shangrao teachers’ College Shangrao 334001 China 2. National Center for Nanoscience and Nanotechnology Beijing 100080 China 3. Institute of Chemistry Chinese Academy of Sciences Beijing 100080 China

The TiO2.microspheres were deposited on the glass substrates under certain conditions via hydro-thermal reaction using 0.1. mol·L?1.TiCl3 saturated NaCl aqueous solution adding urea as an additive. The TiO2.is characterized rutile by results of SEM,TEM and XRD techniques,the TiO2.microspheres are large scale assembled from TiO2.nanorods. The affections on the products by the factors of the con-tents of urea being an additive(the key techniques) ,the reaction temperature,the reaction time and the concentration of TiCl3 were studied. The optimum condition was found,and the mechanism of reac-tions was discussed also.

关键词： TiO2 self-assembly nanorods microsphere hydrothermal reaction

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 physics 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

A New (t, n) Threshold Signature Scheme Withstanding the Conspiracy Attack

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Wuhan University Journal of Natural Sciences 2005年第1期10卷 107-110页

作者： XIE Qi 1.2. YU Xiu-yuan 3 1.Department of Mathematics, Zhejiang University, Hangzhou 31.02., Zhejiang,china 2.School of Information and Engineering, Hangzhou teachers College, Hangzhou 31.01.0} Zhejiang,{2. 3.Hangzhou teachers College, Hangzhou 31.01.0} Zhejiang,{2. Zhejiang University Department of Mathematics Hangzhou China (GRID:grid.13402.34) (ISNI:***) Hungzhou teachers College School of Information and Engincering Hangzhou China (GRID:grid.13402.34) Hangzhou teachers College Hangzhou China (GRID:grid.13402.34)

A ccmspiracy attack is proposed to show that Wang-Li's scheme is instcure,because any t or more group members can impersonate other t member to sign any message withoutholding the responsibility. To avoid the conspiracy attack, this paper prestentsa new (t,n)threshold signature scheme with traceablt signers. A (t. n) threshold signature scheme allows t ormore group members of the group lo generate a signature on behalf of the group, Any less than tmembers cannot generate a valid signature, andany set of the group cannot impersonate another set ofmembers to sign any message without holding the responsibility. In case of disputes., the thresholdsignature can be opened, so that the original signers ean be traced without repealing the secretkeys.

关键词： cryptography threshold signature conspiracy attack identifier tracing

线性时滞系统的记忆与无记忆复合H^∞状态反馈控制

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系统工程理论与实践 2002年第6期22卷 21-25页

作者：姜偕富费树岷冯纯伯东南大学自动化研究所

对于存在状态时滞的线性时滞系统 ,研究了无记忆与带记忆的复合 H∞ 状态反馈控制器的设计问题 ,通过解相应的线性矩阵不等式求得满足设计要求的状态反馈控制器 ,得到了很好的控制效果 .最后给出一个数字仿真实例说明所得结论的有效性 .

关键词：线性时滞系统复合H^∞状态反馈控制线性矩阵不等式渐近稳定性

Asymptotic solution for a class of weakly nonlinear singularly perturbed reaction diffusion problem

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Journal of Shanghai University(English Edition) 2009年第1期13卷 12-15页

作者：唐荣荣 Huzhou teachers College Division of Computational Science E-Institutes of Shanghai UniversitiesShanghai Jiaotong University

Under appropriate conditions, with the perturbation method and the theory of differential inequalities, a class of weakly nonlinear singularly perturbed reaction diffusion problem is considered. The existence of solution of the original problem is proved by constructing the auxiliary functions. The uniformly valid asymptotic expansions of the solution for arbitrary mth order approximation are obtained through constructing the formal solutions of the original problem, expanding the nonlinear terms to the power in small parameter ε and comparing the coefficient for the same powers of ε. Finally, an example is provided, resulting in the error of 0（ε^2..

关键词： perturbation reaction diffusion differential inequality asymptotic solution

Thinking of Building Learning Organization of Vocational and Technical School's teachers——Problems of Metropolitan Area Economy and Building of Vocational and Technical School's teachers

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Thinking of Building Learning Organization of Vocational and...

A Class of Iterative Formulae for Solving Equations

Extended Research of Cluster Development Among Beijing-Tianjin-Hebei and Urban Economic Orientation of Langfang

作者： Gao Yuan~1.Geng Jiangmiao~2.1.Langfang Electronic and Information Engineering School,Langfang Hebei,065000,{1. 2.Hebei University of Technology,Beichen Tianjin,300401.{1.

Using the theory of knowledge-based economy and looking from the reality of metropolitan area's economic development,the paper discusses the necessity of building learning organization of vocational and technical school's *** with the characteristics of professional and technical schools, the paper described the content,methods,requirements and problems that should pay attention to in building learning organization of vocational and technical school's teachers.

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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 2.0009, P. R. china 2. Institute of Applied Mathematics, Hefei University of Technology, Anhui 2.0009, P. R. china 3. Department of Mathematics & {2., Bengbu College, Anhui 2.3030, P. R. china 4. Department of Mathematics & {2., Hefei University, Anhui 2.0601. 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.

BGP reflection functors in root categories

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Science china Mathematics 2005年第8期48卷 1033-1045页

作者： XIAO Jie, ZHANG Guanglian1.2.& ZHU Bin Department of Mathematical Sciences, Tsinghua University, Beijing 1.0084,{1. Department of Mathematics, Yancheng teachers College, Yancheng 2.4002.{1. 1. Department of Mathematical Sciences Tsinghua University 100084 Beijing China 2. Department of Mathematics Yancheng Teachers College 224002 Yancheng China

We define the BGP-reflection functors in the derived categories and the root categories. By Ringel's Hall algebra approach, the BGP-reflection functor is applicable to obtain the classical Weyl group action on the Lie... 详细信息

关键词： m-cycle complexes, derived categories, BGP-reflections, Kac-Moody algebras.