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The Generalized Serre Problem over K-Hermite Rings

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Journal of Systems Science & Complexity 2017年第2期30卷 510-518页

作者： liU Jinwang li dongmei College of Mathematics and Computations Hunan University of Science and TechnologyXiangtan 411201China State Key Laboratory of Information Security Institute of Information EngineeringChinese Academy of SciencesBeijing 100093China

This paper investigates the completion and the zero prime factorization for matrices over a K-Hermite ring. The authors have generalized Kaplansky's related results, solved similar lin-Bose problem and generalized Ser... 详细信息

关键词： Completion of matrix factorization of matrix K-Hermite ring.

Smith Form of Triangular Multivariate Polynomial Matrix

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Journal of Systems Science & Complexity 2023年第1期36卷 151-164页

作者： liU Jinwang WU Tao li dongmei School of Mathematics and Computing Sciences Hunan University of Science and TechnologyXiangtan 411201China

The Smith form of a matrix plays an important role in the equivalence of *** is known that some multivariate polynomial matrices are not equivalent to their Smith *** this paper,the authors investigate mainly the Smith forms of multivariate polynomial triangular matrices and testify two upper multivariate polynomial triangular matrices are equivalent to their Smith forms respectively.

关键词： Degree-Lexicographical order equivalence of matrix multidimensional system multivariate polynomial matrix Smith form

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Robust H_∞ control for a class of nonlinear singular system with uncertain parameters

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Journal of Systems Engineering and Electronics 2009年第1期20卷 136-140页

作者： li Yufen Yang dongmei School of Science Northeastern Univ. Shenyang 110004 P. It. China

The static output feedback H∞ control is explored for a class of nonlinear singular system with norm-bounded uncertainty. On certain suppose, the zero solution asymptotically stability is analyzed by means of Lyapunov function and Lyapunov stability theory. Based on which, a sufficient condition is presented such that the system is zero solution asymptotically stable and has H∞ norm constraint γ. Then, the static output feedback H∞ controller is designed to guarantee the resulting closed-loop system has the same performance. Finally, an example proves the effectiveness of the conclusion.

关键词： uncertain singular system nonlinear singular system static output feedback H∞ control.

An Improvement for GVW

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Journal of Systems Science & Complexity 2022年第1期35卷 427-436页

作者： ZHENG licui li dongmei liU Jinwang Department of Mathematics and Computing Sciences Hunan University of Science and TechnologyXiangtan 411201China

Gao,et al.(2015)gave a simple algorithm to compute Gr?bner bases named *** can be used to compute Gr?bner bases for both ideals and syzygies at the same time,and the latter plays an important role in free resolutions in homological *** GVW algorithms the authors need to compute all the J-pairs firstly and then use GVW criterion(which refers the criterions used in GVW)to determine which one is useless or which one the authors should do *** this paper,based on the study of relations between J-pairs,the authors propose the concept of *** concept allows the authors to filter the useless J-pairs in a rather convenient ***,by using this concept,the authors may easily determine which two pairs’J-pair need not to be ***,the Gr?bner basis which the authors obtained is relatively simpler than the one in GVW.

关键词： Factor Grobner basic GVW

Factorization for n-D Polynomial Matrices over Arbitrary Coefficient Field

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Journal of Systems Science & Complexity 2020年第1期33卷 215-229页

作者： liU Jinwang li dongmei ZHENG licui School of Mathematics and Computing Sciences Hunan University of Science and TechnologyXiangtan 411201China

Multivariate(n-D)polynomial matrix factorization is one of important research contents in multidimensional(n-D)systems,circuits,and signal *** this paper,several results on n-D polynomial matrices factorization over arbitrary coefficient fields are *** on these results,generalizations of some results on general matrix factorization are obtained for given n-D polynomial matrices whose maximal order minors or lower order minors satisfy certain *** proposed results fit for arbitrary coefficient field and have a wide range of application.

关键词： Coefficient field matrix factorization multidimensional polynomial matrix order minor

Improved electromigration reliability of surface acoustic wave devices using Ti/Al-Mo/Ti/Al-Mo electrodes

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Rare Metals 2009年第6期28卷 554-558页

作者： li dongmei liU Ming Institute of Microelectronics Chinese Academy of Sciences Beijing 100029 China

In order to obtain both high electromigration （EM） reliability and free-dimensional control in high-frequency surface acoustic wave （SAW） devices, 4-layered Ti/Al-Mo/Ti/Al-Mo electrode films were investigated on 128° Y-X liNbO3 substrates by sputtering deposition. The resuits indicated that the 4-layered films had an improved EM reliability compared to conventional Al-0.5wt.%Cu films. Their lifetime is approximately three times longer than that of the Al-0.5wt.%Cu films tested at a current density of 5 x 107 A/cm^2 and a temperature of 200℃. Moreover, the 4-layered films were easily etched in reactive ion etching and fine-dimensional control was realized during the pattern replication for high-frequency SAW devices. For the 4-layered films, an optimum Mo quantity and sputtering parameters were very significant for high EM reliability.

关键词： electrode films magnetron sputter electromigration surface acoustic wave devices

THE λ-GROBNER BASES UNDER POLYNOMIAL COMPOSITION

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Journal of Systems Science & Complexity 2007年第4期20卷 610-613页

作者： Jinwang liU dongmei li Xiaosong CHEN School of Mathematics and Computing Science Hunan Science and Technology University Xiangtan 411201 China School of Mathematical Sciences and China. Technology Central South University Changsha 410083

Polynomial composition is the operation of replacing variables in a polynomial with other polynomials. λ-Grgbner basis is an especial Grobner basis. The main problem in the paper is： when does composition commute with λ-Grobner basis computation？ We shall answer better the above question. This has a natural application in the computation of λ-Grobner bases.

关键词： λ-Grobner basis polynomial composition term ordering

日本0～3岁保育体系及政策研究——聚焦日本“入托难”问题

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上海教育科研 2019年第9期 64-68页

作者：李冬梅北京教育科学研究院教育发展研究中心

近年来,日本的早期教育改革聚焦0~3岁儿童的入托保育问题。日本逐年凸显的'入托难'问题严重阻碍着日本女性的社会就业,给经济发展持续不振的日本又添加了许多阴霾。第二次安倍政权以来,日本政府出台了多项措施旨在消除'入托难'顽疾,并... 详细信息

近年来,日本的早期教育改革聚焦0~3岁儿童的入托保育问题。日本逐年凸显的'入托难'问题严重阻碍着日本女性的社会就业,给经济发展持续不振的日本又添加了许多阴霾。第二次安倍政权以来,日本政府出台了多项措施旨在消除'入托难'顽疾,并逐步完善0~3岁儿童的保育体系。

关键词：日本 0~3岁儿童保育早期教育改革

Normal projection： deterministic and probabilistic algorithms

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Frontiers of Mathematics in China 2014年第1期9卷 93-99页

作者： dongmei li Jinwang liU Weijun liU Department of Mathematics and Computing Sciences Hunan University of Scienceand Technology Xiangtan 411201 China Department of Mathematics and Statistics Central South University Changsha 410083 China

We consider the following problem： for a collection of points in an n-dimensional space, find a linear projection mapping the points to the ground field such that different points are mapped to different values. Such projections are called normal and are useful for making algebraic varieties into normal positions. The points may be given explicitly or implicitly and the coefficients of the projection come from a subset S of the ground field. If the subset S is small, this problem may be hard. This paper deals with relatively large S, a deterministic algorithm is given when the points are given explicitly, and a lower bound for success probability is given for a probabilistic algorithm from in the literature.

关键词： Normal projection primary decomposition of ideal deterministic algorithm