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Chinese Journal of Aeronautics 2018年第1期31卷 31-40页

作者： Yuchen SONG datong LIU Yandong HOU Jinxiang YU Yu PENG department of Automatic Test and Control School of Electrical Engineering and Automation Harbin Institute of Technology

Lithium-ion batteries have become the third-generation space batteries and are widely utilized in a series of spacecraft. Remaining Useful Life （RUL） estimation is essential to a spacecraft as the battery is a critical part and determines the lifetime and reliability. The Relevance Vector Machine （RVM） is a data-driven algorithm used to estimate a battery＇s RUL due to its sparse feature and uncertainty management capability. Especially, some of the regressive cases indicate that the RVM can obtain a better short-term prediction performance rather than long-term prediction. As a nonlinear kernel learning algorithm, the coefficient matrix and relevance vectors are fixed once the RVM training is conducted. Moreover, the RVM can be simply influenced by the noise with the training data. Thus, this work proposes an iterative updated approach to improve the long-term prediction performance for a battery＇s RUL prediction. Firstly, when a new estimator is output by the RVM, the Kalman filter is applied to optimize this estimator with a physical degradation model. Then, this optimized estimator is added into the training set as an on-line sample, the RVM model is re-trained, and the coefficient matrix and relevance vectors can be dynamically adjusted to make next iterative prediction. Experimental results with a commercial battery test data set and a satellite battery data set both indicate that the proposed method can achieve a better performance for RUL estimation.

关键词： Iterative updating Kalman filter Lithium-ion battery Relevance vector machine Remaining useful life estimation

THE CODIMENSION FORMULA ON AF-COSUBMODULES

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Chinese Annals of mathematics,Series B 2002年第3期23卷 419-424页

作者： GUO KUNYU department of mathematics, Fudan university, Shanghai 2.0433, China department of mathematics Fudan University Shanghai 200433 China

Let M1, M2.be submodules of analytic Hilbert module X on ?(? Cn) such that M1 ? M2.and dimM1/M2.= k < '. If M2.is an AF-cosubmodule, then the codimension dimM1/M2.of M2.in M1 equals the cardinality of zeros of M2.rel... 详细信息

Let M1, M2.be submodules of analytic Hilbert module X on ?(? Cn) such that M1 ? M2.and dimM1/M2.= k 2.is an AF-cosubmodule, then the codimension dimM1/M2.of M2.in M1 equals the cardinality of zeros of M2.related to MI by counting multiplicities. The codimension formula has some interesting applications. In particular, the author calculates out the dimension of Rudin quotient module, which is raised in [14].

关键词： AF-cosubmodule Characteristic space Analytic Hilbert module

On characterizations of isometries on function spaces

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Science China mathematics 2008年第4期51卷 620-631页

作者： LI SongYing~(1+) RUAN YingBin~2.1 department of mathematics university of California Irvine CA 92.97 USA 2.School of {2. and Computer Science Fujian Normal university Fuzhou 350007 China 1. department of mathematics University of California Irvine CA 92697 USA 2. School of mathematics and Computer Science Fujian Normal University Fuzhou 350007 China

The paper gives characterization for an isometric isomorphism on little Bloch space, VMOA and holomorphic Besov space over the unit ball B n in ? n .

关键词： ismometry Besov spaces 32.17 47A15

The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains

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Science China mathematics 2007年第12期50卷 1781-1794页

作者： Yu-can ZHU~(1+) Ming-sheng LIU~2.~1 department of mathematics,Fuzhou university,Fuzhou 350002.China ~2.department of mathematics,South China Normal university,Guangzhou 510631,China department of mathematics Fuzhou University Fuzhou 350002 China department of mathematics South China Normal University Guangzhou 510631 China

The generalized Roper-Suffridge extension operatorΦ(f) on the bounded complete Rein- hardt domainΩin C^n with n≥2.is defined byΦ_(n,β_2.γ_2....,β_n,γ_n)~r(f)(z)=rf((z_1)/r),((rf(z_1)/r)/(z_1))^(β2.(f′((z_1)/r)^(γ2.z_2....,((rf(z_1)/r)/(z_1))^(β_n)(f′((z_1)/r))^(γ_n)z_n) for (z_1,z_2....,z_n)∈Ω,where r=r(Ω) = sup{|z_1|:(z_1,z_2....,z_n)∈Ω},0≤γ_j≤1-β_j,0≤β_j≤1, and we choose the branch of the power functions such that ((f(z_1))/(z_1))^(β_j)|_(z_1=0)=1 and (f′(z_1))^(γ_j)|_(z_1=0)= 1,j=2....,*** this paper,we prove that the operatorΦ_(n,β_2.γ_2....,β_n,γ_n)~r(f) is from the subset of S_α~*(U) to Sα~*(Ω)(0≤α2.γ_2....,β_n,γ_n)~r(f) preserves the starlikeness of order a or the spirallikeness of typeβon D_p for some suitable constantsβ_j,γ_j,p_j,where D_p= {(z_1,z_2....,z_n)∈C^n:∑_(j=1)~n|z_j|^(p_j)0,j=1,2...,n),U is the unit disc in the complex plane C,and S_α~* (Ω) is the class of all normalized starlike mappings of orderαonΩ.We also obtain thatΦ_(n,β_2.γ_2....,β_n,γ_n)~r(f)∈S_α~*(D_p) if and only if f∈S_α~*(U) for 0≤α<1 and some suitable constantsβ_j,γ_j,p_j.

关键词： Roper-Suffridge extension operator, biholomorphic starlike mapping, spirallike of type β, complete Reinhardt domain

Ecological rebuilding and land reclamation in surface mines in shanxi Province, China

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Journal of Environmental Sciences 2000年第4期12卷 486-497页

作者： MIAO Ze wei 1, BAI Zhong ke 2. GAO Lin 1 (1. Research Center for Eco Environmental Sciences, Chinese Academy of Sciences, Beijing 100085, China E\|mail: miaozewei@*** 2. department of Soil Science, shanxi Agricultural {2. Taigu, 03 中科院生态环境研究中心北京 1 0 0 0 85 山西师范大学山西临汾 0 3 0 80 1

It is well known that the mining industry produces a large amount of derelict land, and causes pollution of water loss and soil erosion as well as other environmental damage in China. As land is under pressure in China, it is now policy to restore or reclaim land despoiled by mining, the aim being to develop sustainable and healthy arable land ecosystems. This paper outlines the principles and approaches of ecological restoration, which have been adopted in shanxi Province with reference to three typical surface mines. In the research, the principles of ecological engineering and ecological succession are considered as the critical theories of ecological restoration in mine degraded land. Meanwhile, the paper made a comparative research on main links of ecological rebuilding in three surface mines in shanxi Province, which include new land construction, treatment of toxic substances, control of soil erosion, fertility management, irrigation, ecological planning and the establishment of legislation systems. As the research demonstrated, for successful restoration, new land construction is the fundamental framework, but it must be integrated with ecological engineering including ecological planning, the control of soil erosion and vegetation establishment and ecosystem creation in order to optimise land productivity and soil fertility. In addition, the establishment of the legislation systems and organization of administration are also indispensable aspects of ecological rebuilding in mined land.

关键词： ecological restoration land reclamation open-pit mine

Generalized gradient projection neural networks for nonsmooth optimization problems

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Science China(Information Sciences) 2010年第5期53卷 990-1005页

作者： LI GuoCheng 1 , SONG ShiJi 2.? & WU Cheng 2.1 department of mathematics, Beijing Information Science and Technology university, Beijing 100192. China 2.{2. of Automation, Tsinghua university, Beijing 100084, China 1. department of mathematics Beijing Information Science and Technology University Beijing 100192 China2. Department of Automation Tsinghua University Beijing 100084 China

Generalized gradient projection neural network models are proposed to solve nonsmooth convex and nonconvex nonlinear programming problems over a closed convex subset of R n . By using Clarke’s generalized gradient, the neural network modeled by a differential inclusion is developed, and its dynamical behavior and optimization capabilities both for convex and nonconvex problems are rigorously analyzed in the framework of nonsmooth analysis and the differential inclusion theory. First for nonconvex optimization problems, the quasi convergence results similar to those achieved by previous work are proved. For convex optimization problems, the global convergence results are proved, i.e. any trajectory of the neural network converges to an asymptotically stable equilibrium point, which is an optimal solution of the primal problem whenever it exists. This result remains valid even if the initial condition is chosen outside the feasible set. In addition, an asymptotic control result involving a Tykhonov like regularization shows that any trajectory of the revised neural network can be forced to converge toward a particular optimal solution of the primal problem. Finally, two simulation optimization algorithms for solving the optimization and control problems are designed respectively, and three typical simulation experiments are illustrated to present the accuracy and efficiency of theoretical convergence results of this paper.

关键词： nonsmooth optimization problem generalized gradient projection networks differential inclu sions convergence

A note on characterization of Hardy space H^1

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Science China mathematics 2005年第4期48卷 448-455页

作者： WANG Silei department of mathematics, Zhejiang university, Hangzhou 31002., China 1. department of mathematics Zhejiang University 310028 Hangzhou China

An all-round answer is given to the following question: 'Find a necessary and sufficient size condition for an integrable compactly supported function on Rn with mean value zero to be in the Hardy space H1.' Stefanov ... 详细信息

关键词： Hardy space Riesz transform Hilbert transform

Comparison of fractal measures

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Science China mathematics 2005年第11期48卷 1545-1553页

作者： QU Yanhui,WEN Shengyou & WEN Zhiying department of mathematics,Tsinghua university,Beijing 100084,China department of mathematics,Hubei university, Wuhan 430062. China 1. department of mathematics Tsinghua University 100084 Beijing China 2. department of mathematics Hubei University 430062 Wuhan China

In this paper, the relationship between the s-dimensional Hausdorff measures and the g-measures in Rd is discussed, where g is a gauge function which is equivalent to ts and 0 < s≤d. It shows that if s=d, then Hg = c... 详细信息

In this paper, the relationship between the s-dimensional Hausdorff measures and the g-measures in Rd is discussed, where g is a gauge function which is equivalent to ts and 0 2.d and Pg = c3Pd on Rd, where constants c1, c2.and c3 are determined by where Wg, Cg and Pg are the g-Hausdorff, g-central Hausdorff and g-packing measures on Rd respectively. In the case 02.s|F and Pg|F = c3Ps|F, where the constants c1, c2.and c3 depend not only on g and s, but also on F. A criterion is presented for judging whether an s-set has the above properties.

关键词： gauge function Hausdorff measure central Hausdorff measure packing measure.

Changes in Autoantibodies against β1-Adrenoceptor and M2.Muscarinic Receptor during Development of Renovascular Hypertension in Rats

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Acta Biochimica et Biophysica Sinica 2004年第12期36卷 793-797页

作者： Jian-Ming ZHI*, Rong-Fang CHEN1, Heng WU2. Hui-Rong LIU2. and Rong-Rui ZHAO2. department of Physiology, Shanghai Second Medical university, Shanghai 2.002., China 1department of Toxicology, Second Military Medical university, Shanghai 2.0433, China 2. department of Physiology, shanxi Medical university, Taiyuan 030001, China department of Physiology Shanghai Second Medical UniversityShanghai 200025 China department of Toxicology Second Military Medical UniversityShanghai 200433 China department of Physiology Shanxi Medical UniversityTaiyuan 030001 China

In an experimental rat’s renovascular hypertension model, we studied the genesis of anti- cardiac β1-adrenoceptor and M2.muscarinic receptor autoantibodies in relation to the changes in immunological function during the development of renal hypertension. The biological activities of these autoantibodies were also examined. It was shown that after two weeks of operation both the frequency of occurrence and the titre of autoantibodies to cardiac β1-adrenoceptor and M2.muscarinic receptor were significantly increased as compared with the control of pre-treatment. The increased autoantibodies lasted for several weeks and then automatically decreased gradually to the pre-clipping level at 10 weeks. Meanwhile the ratio of CD4 /CD8 + + was also undergone an initial increase followed by gradual recovery and correlated well with the changes in antibody titre. The biological effects of these autoantibodies displayed an “agonistic-like” activities on the beating frequency of cultured neonatal cardiomyocyte. It is suggested that autoimmune mechanisms are involved in the pathogenesis of renal hypertension and the cardiac receptor autoantibodies might be one of the mechanisms leading to cardiac dysfunction.

关键词： autoantibody renal hypertension cardiac receptor immunology

MIXED FINITE ELEMENT METHODS FOR A STRONGLYNONLINEAR PARABOLIC PROBLEM

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Journal of Computational mathematics 1999年第2期17卷 209-220页

作者： Yan-ping Chen(department of mathematics, Nanjing university, Naming 2.0008, China Institute ofComputational and Applied {2., Xiangtan university, Hunan 411105, China) 南京大学数学系江苏南京

A mixed finite element method is developed to approximate the solution of a strongly nonlinear second-order parabolic problem. The existence and uniqueness of the approximation are demonstrated and L-2.error estimates... 详细信息

关键词： finite element method nonlinear parabolic problem