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New type of adaptive control for a class of distributed time-delay systems with adaptation regard to delay parameter

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Journal of systems Engineering and Electronics 2010年第6期21卷 1054-1062页

作者： Lin Chai1, 2. Shumin Fei1, 2. Haiyan Jin1, 2. Ruimin Wang1, 2. and Yanhong Li1, 2.1. Key Laboratory of Measurement and Control of Complex systems of Engineering, Southeast University, Nanjing 2.0096, P. R. china 2. School of Automation, Southeast University, Nanjing 2.0096, P. R. china Key Laboratory of Measurement and Control of Complex systems of Engineering Southeast University Nanjing 210096 P. R. China School of Automation Southeast University Nanjing 210096 P. R. China

The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to be a constant time-delay, but not known exactly. A design method is proposed for a memory proportional and integral （PI） feedback controller with adaptation to distributed time-delay. The feedback controller with memory simultaneously contains the current state and the past distributed information of the addressed systems. The design for adaptation law to distributed delay is very concise. The controller can be derived by solving a set of linear matrix inequalities （LMIs）. Two numerical examples are given to illustrate the effectiveness of the design method.

关键词： distributed delay linear matrix inequality (LMI) adaptive control time-delay systems memory PI feedback.

A direct product decomposition of QMV algebras

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science china {2. 2012年第4期55卷 841-850页

作者： LU Xian 1 ,SHANG Yun 1,& LU RuQian 1,2.1 Institute of mathematics,Academy of mathematics and {2. science,Beijing 100190,china 2.Key Laboratory of Intelligent Information Processing,Institute of Computing Technology,chinese Academy of sciences,Beijing 100190,china Institute of mathematics Academy of Mathematics and Systems Science Beijing China Key Laboratory of Intelligent Information Processing Institute of Computing Technology Chinese Academy of Sciences Beijing China

We study the direct product decomposition of quantum many-valued algebras (QMV algebras) which generalizes the decomposition theorem of ortholattices (orthomodular lattices).In detail,for an idempo- tent element of a given QMV algebra,if it commutes with every element of the QMV algebra,it can induce a direct product decomposition of the QMV *** the same time,we introduce the commutant C(S) of a set S in a QMV algebra,and prove that when S consists of idempotent elements,C(S) is a subalgebra of the QMV *** also generalizes the cases of orthomodular lattices.

关键词： QMV algebra commutativity idempotent decomposition theorem

Rank of loop, constraint degree of path, coupling degree of graph and their application

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Progress in Natural science:Materials International 2005年第2期15卷 79-85页

作者： YANG Tingli1*, LUO Yufeng2. ZHANG Ce3.and YAO Fanghua1(1. SINOPIC Jinling Petrochemical Corp., Nanjing 2.003., china 2. Department of Mechanical Engineering, Nanchang University, Nanchang 3.002., china 3. Department of Mechanical Engineering, Tianjin University, Tianjin 3.0072. china) Jinling Petrochemical Corp. SINOPIC Nanjing 210037 China Dept. of Mechanical Eng. Nanchang Univ. Nanchang 330029 China Dept. of Mechanical Eng. Tianjin Univ. Tianjin 300072 China

Some new concepts (rank of a loop, degree of freedom of a graph, path unit and ordered path arrangement, constraint degree of path, coupling degree of a graph, basic graph, etc.), formulas, and algorithms, are proposed in this paper. Based on these concepts, a new systematic theory and practical method for the design of topological structure, kinematics and dynamics of mechanical systems is established. Some conjectures and problems needed to be researched are also put forward. The concepts, formulae and algorithms presented in this paper will find wide potential applications.

关键词： rank of loop degree of freedom of graph constraint degree of path coupling degree of graph

Application of Cointegration to Forecasting Foreign Trade in china

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systems science and systems Engineering 2000年第4期10卷 420-428页

作者： WANG Zhen\|quan 1,2.,\ XU Shan\|ying 1 1. Academy of mathematics and System sciences, The {2. Academy of sciences, Beijing 100080, china 2. Department of Economic Management, Nanhua University, Hengyang 42.001, china

Monthly forecast of export and import of china is investigated in this paper. Export, import, exchange rates and foreign reserve of china are coincided with in a vector error corrected model, on which seasonal export and import can be forecasted in a reasonable precision. With impulse response analysis, impact of exchange rate to export is discussed.

关键词： foreign trade forecast cointegration empirical stu

Maximal effective baseline for polarimetric interferometric SAR forest height estimation

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science china(Information {2.) 2012年第4期55卷 867-876页

作者： ZHOU YongSheng 1,2.3.HONG Wen 1,2.WANG YanPing 1,2.& WU YiRong 1,2.1 National Key Laboratory of science &Technology on Microwave Imaging,Beijing 100190,china 2.Institute of Electronics,{2. Academy of sciences,Beijing 100190,china 3.Academy of Opto-Electronics,{2. Academy of sciences,Beijing 100094,china National Key Laboratory of science & Technology on Microwave Imaging Beijing China Institute of Electronics Chinese Academy of Sciences Beijing China Academy of Opto-Electronics Chinese Academy of Sciences Beijing China

The concepts of critical baseline and maximal effective baseline have been defined for interferometric SAR (InSAR) DEM application based on the spatial decorrelation (which is a function of baseline).This paper puts forward these two concepts to polarimetric interferometric SAR (Pol-InSAR) forest height estimation *** application makes use of volume decorrelation,which is also a function of *** both the spatial decorrelation and volume decorrelation are considered to determine Pol-InSAR critical and maximal effective *** various decorrelation effects are *** the calculation formula of Pol-InSAR maximal effective baseline are presented and compared to that of *** validation,RVoG-based and PolSARpro-based simulation data and DLR ESAR data are *** concept of Pol-InSAR maximal effective baseline is of practical significance in selection of Pol-InSAR image pairs as well as in the design of further Pol-InSAR systems.

关键词： Pol-InSAR maximal baseline forest height estimation

Israeli Water Achievements Today and Enlightenment to china

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chinese Journal of Population,Resources and Environment 2008年第4期6卷 72-77页

作者： Sun Lei1,2. Xu Lanqing3.1. Institute of Environmental science and Engineering, Ocean University of china, Qingdao Shandong 2.6100, china 2. Department of Soil and Water sciences, Faculty of Agricultural, Food and Environmental Quality sciences, the Hebrew University of Jerusalem, 76100, Israel 3. Logistics Group of Ocean University of china, Qingdao Shandong 2.6100, china Institute of Environmental science and Engineering Ocean University of China Qingdao Shandong 266100 China Department of Soil and Water sciences Faculty of Agricultural Food and Environmental Quality Sciences the Hebrew University of Jerusalem 76100 Israel Logistics Group of Ocean University of china Qingdao Shandong 266100 China

Despite the endemic drought, arid climate and associated limited freshwater resources, as well as difficult geopolitical realities, Israel can provide a reliable supply of high quality water to a rapidly growing population. The achievements of water supply in Israel can be summarized as water technologies (like water transportation and purification, desalination, wastewater treatment, effluent reuse, storm water catchment, control systems, rain enhancement and drip irrigation, etc.), water management and legislation as well as water industry. In view of the national concern regarding the quality and quantity of the water, the skills, technologies and know-how that Israel has accumulated in water supply and irrigation can give us enlightenment that is also presented in this paper.

关键词： Israel china water technology water management water industry

Convergence analysis of the adaptive finite element method with the red-green refinement

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science china {2. 2010年第2期53卷 499-512页

作者： ZHAO XuYing 1, 3., HU Jun 2.? & SHI ZhongCi 1 1 State Key Laboratory of Scientific and Engineering Computing, Institute of Computational mathematics and Scientific/Engineering Computing, Academy of mathematics and {2. science, chinese Academy of sciences, Beijing 100190, china 2.Key Laboratory of mathematics and Applied mathematics (Peking University), Ministry of Education and School of Mathematical sciences, Peking University, Beijing 100871, china 3.Graduate University of chinese Academy of sciences, Beijing 100190, china State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China Graduate University of chinese Academy of sciences Beijing China Key Laboratory of mathematics and Applied mathematics (Peking University) Ministry of Education and School of Mathematical Sciences Peking University Beijing China

In this paper, we analyze the convergence of the adaptive conforming P 1 element method with the red-green refinement. Since the mesh after refining is not nested into the one before, the Galerkin-orthogonality does not hold for this case. To overcome such a difficulty, we prove some quasi-orthogonality instead under some mild condition on the initial mesh (Condition A). Consequently, we show convergence of the adaptive method by establishing the reduction of some total error. To weaken the condition on the initial mesh, we propose a modified red-green refinement and prove the convergence of the associated adaptive method under a much weaker condition on the initial mesh (Condition B).

关键词： red-green refinement adaptive finite element method convergence non-nested local refinement

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 2.02.4, {3. 2. Department of Physics, Southwest Normal University, Chongqing 400715, {3. 3. Department of Computer and Electric Technology, Shanghai Business School, Shanghai 2.1400, {3. Department of Physics Shanghai Normal University Shanghai China Department of Physics Southwest Normal University Chongqing China Department of Computer and Electric Technology Shanghai Business School 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.

ON THE CENTRAL RELAXING SCHEME Ⅱ: systems OF HYPERBOLIC CONSERVATION LAWS

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Journal of Computational mathematics 2001年第6期19卷 571-582页

作者： Hua-zhong Tang (School of Mathematical sciences, Peking University, Beijing 100871, china) (LSEC,ICMSEC Academy of {2. and {3. sciences, chinese Academy of sciences, Beijing 100080, china) School of Mathematical sciences Peking University Beijing 100871 China

This paper continues to study the central relaxing schemes for system of hyperbolic conservation laws, based on the local relaxation approximation. Two classes of relaxing systems with stiff source term are introduced to approximate system of conservation laws in curvilinear coordinates. Based on them, the semi-implicit relaxing schemes are con- structed as in [6, 12. without using any linear or nonlinear Riemann solvers. Numerical experiments for one-dimensional and two-dimensional problems are presented to demon- strate the performance and resolution of the current schemes.

关键词： Hyperbolic conservation laws The relaxing system The central relaxing schemes The Euler equations.