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Approximate solutions to infinite dimensional LQ problems over infinite time horizon

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Science china mathematics 2006年第7期49卷 865-876页

作者： PAN Liping, ZHANG xu & CHEN Qihong School of Mathematical Sciences, Fudan university, Shanghai 2.0433,{2. School of mathematics, Sichuan university, chengdu 610064,{2. department of Applied mathematics, Shanghai university of Finance & Economics, Shanghai 2.0433,{2. School of Mathematical Sciences Fudan University Shanghai 200433 China School of mathematics Sichuan University Chengdu 610064 China department of Applied mathematics Shanghai University of Finance & Economics Shanghai 200433 China

This paper is addressed to develop an approximate method to solve a class of infinite dimensional LQ optimal regulator problems over infinite time horizon. Our algorithm is based on a construction of approximate solutions which solve some finite dimensional LQ optimal regulator problems over finite time horizon, and it is shown that these approximate solutions converge strongly to the desired solution in the double limit sense.

关键词： approximate solution LQ problem infinite dimensional infinite time hori-

A KIND OF FUZZY MULTI-OBJECTIVE LINEAR PROGRAMMING PSOBLEMS BASED ON INTER VALVALUED FUZZY SETS

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Journal of Systems Science & Complexity 2001年第2期14卷 149-158页

作者： xu Jiuping (department of Applied {2., Sichuan university, chengdu 610065, china) 四川大学四川成都 610065

This paper presents a general solution procedure and an interactive fuzzy satisfying method for a kind of fuzzy multi-objective linear programming-problems based on interval valued fuzzy sets. Firstly, a fuzzy set of the fuzzy solutions, which can be focused on providing complete information for the final decision, can be obtained by the proposed tolerance analysis of a non-dominated set. Secondly, the satisfying solution for the decisionmaker can be derived from Pareto optimal solutions by updating the current reference membership levels on the basis of the current levels of the membership functions together with the trade-off rates between the membership functions.

关键词： Fuzzy number interval-valued fuzzy sets multiple objective linear programming interactive fuzzy satisfying method parametrically interval values.

An Interval-valued Approach to Calculation ofNonequilibriumThermodynamics with Imprecise Information

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Systems Science and Systems Engineering 1999年第1期9卷 119-128页

作者： xu Jiuping LUO Jiuli(department of Chemistry,Sichuan {2., chengdu 610064, china)

The research of the imprecision of a nonequilibrium thermodynamic system is justifiedby the structural and parametric uncertainties of such systems. The paper gives an interval-valuedformulation of the phenomenological equations and shows a realistic approach for studying the entropyproduction in Physical systems, the time trajectories of chemical reactions, etc. Using algorithms derivedfor special reaction systems, bundles of time trajectories with prescribed boundary possibility measuresare calculated.

关键词： interval-valued number measure of imprecision nonequilibrium thermodynamics imprecise dynamic systems

Subdirectly Irreducible and Directly Indecomposable Lattice Implication Algebras

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Chinese Quarterly Journal of mathematics 2004年第4期19卷 385-392页

作者： WANG xue-fang, xu Yang, SONG Zhen-ming(1.{2. of mathematics, Ocean university of china, Qingdao 2.6003, china 2.{2. of Applied mathematics, Southwest Jiaotong university, chengdu 610031, china) department of mathematics Ocean University of China Qingdao 266003 China department of Applied mathematics Southwest Jiaotong University Chengdu 610031 China

Lattice implication algebra is an algebraic structure that is established by combining lattice and implicative algebra. It originated from the study on lattice-valued logic. In this paper, we characterize two special classes of lattice implication algebra, namely, subdi-rectly irreducible and directly indecomposable lattice implication algebras. Some important results are obtained.

关键词： many-valued logic lattice implication algebra filter ultra-filter prime filter

A Note on the Singular Limit of the Exact Controllability of Dissipative Wave Equations

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Acta Mathematica Sinica,English Series 2000年第4期16卷 601-612页

作者： Yuping Tang xu Zhang department of {2., Daxian Teacher’s College, Daxian 63500 Sichuan. P. R. china School of {2., Sichuan university. chengdu 610064. Sichuan. P. R. china Academy of {2. and Systems Sciences, Chinese Academy of Sciences Beijing 100080. P. R. china department of mathematics Daxian Teacher's College Daxian 635000 Sichuan P. R. China School of mathematics Sichuan University Chengdu 610064 Sichuan P. R. China Academy of mathematics and Systems Sciences Chinese Academy of Sciences Beijing 100080 P. R. China

In this note we analyze the exact controllability of singularly perturbed damped wave equations under more general geometric control condition than that of [1]. We show that the null controllability of the heat equati... 详细信息

关键词： Controllability Singular perturbation Heat equation Wave equation

Skeletal interoception in osteoarthritis

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Bone Research 2024年第2期12卷 241-254页

作者： Dinglong Yang Jiawen xu Ke xu Peng xu department of Joint Surgery Honghui HospitalXi’an Jiaotong UniversityXi’an 710054China department of Orthopedic Surgery and Orthopedic Research Institute West China HospitalSichuan UniversityChengdu 610041China

The interoception maintains proper physiological conditions and metabolic homeostasis by releasing regulatory signals after perceving changes in the internal state of the *** its various forms,skeletal interoception specifically regulates the metabolic homeostasis of ***(OA)is a complex joint disorder involving cartilage,subchondral bone,and *** subchondral bone undergoes continuous remodeling to adapt to dynamic joint *** findings highlight that skeletal interoception mediated by aberrant mechanical loads contributes to pathological remodeling of the subchondral bone,resulting in subchondral bone sclerosis in *** skeletal interoception is also a potential mechanism for chronic synovial inflammation in *** this review,we offer a general overview of interoception,specifically skeletal interoception,subchondral bone microenviroment and the aberrant subchondral *** also discuss the role of skeletal interoception in abnormal subchondral bone remodeling and synovial inflammation in OA,as well as the potential prospects and challenges in exploring novel OA therapies that target skeletal interoception.

关键词： homeostasis inflammation releasing

Impact of Mining Activities upon Environment in Panzhihua Region, Southwestern china

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地球科学进展 2004年第S1期19卷 449-455页

作者： TENGY~1, NIS~2. WANG J~1, ZHANG C~2.xu Z~2.TUO X~2.(1. Institute of Environmental Sciences, Beijing Normal university, Belling 100875,{2. 2. department of Geochemistry, chengdu university of Technology, chengdu 610059,{2.)

Mining activities have left huge uncovered slopes, large areas of gangue ground and extensive railings dams. In this paper, we studied some impacts of mining activities upon environment in Panzhihua region, southwestern china. The environmental impacts include ecological destruction, geological disasters, environmental pollution, land damage, solid waste and occupational health effect in study area. The author suggested that local government should take some measure to reduce environmental impact in Pan...

关键词： Mining activity Environmental impact Pollution Panzhihua region SW china

A STUDY ON LANDSCAPE MOSAIC STRUCTUREIN URBANRURAL AREA IN NORTHWESTOF china WITH RS AND GIS- A Case Study of Xigu District in Lanzhou City

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Chinese Geographical Science 2001年第4期11卷 80-90页

作者： xu Jian-hua1, LU Yan1, AI Nan-shan2. YUE Wen-ze3(1. department of Geography, East{2. Normal university, Shanghai 2.0062. P. R.{2. 2. Environmental Science and Engineering School, Sichuan university, chengdu 610064, P. R. Chin department of Geography East China Normal University Shanghai P. R. China Environmental Science and Engineering School Sichuan University Chengdu P. R. China department of Geography Lanzhou University Lanzhou P. R. China

ABSTRACT: At the study area of Xigu District in Lanzhou City, using RS & GIS as tools we apply Diversity, Dominance, Fragmentation , Isolation and so on to study the quantitative, fractal and spatial characters of landscapes’ structures in the four sub-regions divided by the morphological features. Using the Fractal Theory to establish the fractal structure models, we analyze the complexity and stability of various landscapes’ distribution with fractal dimension value. The spatial distribution characteristics of landscape mosaic structure are also expounded. At the end of the paper we discuss the relevant problems on the main factors which control and effect on the spatial pattern of landscapes as well as on landscape optimization and management.

关键词： landscape mosaic spatial structure fractal Xigu District in Lanzhou City

Deep learning based water leakage detection for shield tunnel lining

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Frontiers of Structural and Civil Engineering 2024年第6期18卷 887-898页

作者： Shichang LIU xu xu Gwanggil JEON Junxin CHEN Ben-Guo HE College of Computer Science Sichuan UniversityChengdu 610065China School of Computer Science and Engineering Northeastern UniversityShenyang 110004China department of Embedded Systems Engineering Incheon National UniversityIncheon 22012Korea School of Software Dalian University of TechnologyDalian 116621China Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines Northeastern UniversityShenyang 110819China

Shield tunnel lining is prone to water leakage,which may further bring about corrosion and structural damage to the walls,potentially leading to dangerous *** avoid tedious and inefficient manual inspection,many projects use artificial intelligence(Al)to detect cracks and water leakage.A novel method for water leakage inspection in shield tunnel lining that utilizes deep learning is introduced in this *** proposal includes a ConvNeXt-S backbone,deconvolutional-feature pyramid network(D-FPN),spatial attention module(SPAM).and a detection *** can extract representative features of leaking areas to aid inspection *** further improve the model's robustness,we innovatively use an inversed low-light enhancement method to convert normally illuminated images to low light ones and introduce them into the training *** experiments are performed,achieving the average precision(AP)score of 56.8%,which outperforms previous work by a margin of 5.7%.Visualization illustrations also support our method's practical effectiveness.

关键词： water leakage detection deep learning deconvolutional-feature pyramid spatial attention