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FLOATING QUANTIZATION EFFECTS ON MULTIRATE SAMPLED-DATA NONLINEAR CONTROL SYSTEMS

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Acta Mathematica Scientia 2007年第3期27卷 635-644页

作者：余宏旺汪志鸣 department of mathematics East China Normal University

In this article, floating quantization effects on multirate sampled-data control systems are studied. It shows that the solutions of multirate digital feedback control systems with nonlinear plant and with floating quantization in the controller are uniformly ultimately bounded if the associated linear systems consisting of linearization of the plant and controller with no quantization are Schur stable. Moreover, it also shows that the difference between the response of multirate digital controllers without quantizers and the same plant with floating quantization in the controllers can be made as small as desired by selecting proper quantization level.

关键词： Multirate sampled-data control systems quantization Schur stable uniformly ultimately bounded

Note on families of semistable curves over P^1 with 4 singular fibers whose Jacobian are non-compact

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Science china mathematics 2010年第7期53卷 1710-1713页

作者： YU Fei 1, 2 1 Academy of mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, china 2 department of mathematics, east china normal university, shanghai 200062, china Academy of mathematics and Systems Science Chinese Academy of Sciences Beijing China department of mathematics East China Normal University Shanghai China

Let f : S → P 1 be a semistable family of curves of genus g 2. We prove that if f admits exactly 5 singular fibers and 4 of them have non-compact Jacobian, then g = 2.

关键词： singular fiber adjoint linear system non-compact Jacobian

ON THE Least EIGENVAluE OF A GRAPH

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Systems Science and Mathematical Sciences 1993年第3期6卷 269-272页

作者： hong Yuan department of mathematics, east china normal university, shanghai 200062, china 华东师范大学上海

Let G be a simple graph with n vertices and λn（G） be the least eigenvalue of *** this paper, we show that, if G is connected but not complete, then λn（G）≤λn(Kn-11)and the equality holds if and only if G Kn-11, where Kn-11, is the graph obtained by thecoalescence of a complete graph Kn-1 of n-1 vertices with a path P2 of length one of itsvertices.

关键词： Adjacency matrix eigenvalue coalescence

Simple C~*-Algebras with Unique Tracial States and Quantized Topological Spaces

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Acta Mathematica Sinica,English Series 2002年第1期18卷 181-198页

作者： LIN Hua Xin department of mathematics, east china normal university. shanghai 200062, P. R. china department of mathematics. university of Oregon, Eugene. Oregon 97403-1222 department of mathematics East China Normal University Shanghai P. R. China department of mathematics University of Oregon Eugene USA

Let X be a connected finite CW complex and d_x: K_O(C(X))→ Z be the dimension function. We show that, if A is a unital separable simple nuclear C~*-algebra of TR(A)= 0 with the unique tracial state and satisfying the... 详细信息

关键词： Quantized defOrl11atio1l Silllp1e C*-a1gebras

ON LOCAL STABILIZATION OF NONLINEAR CONTROL SYSTEMS

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Systems Science and Mathematical Sciences 1992年第4期5卷 289-298页

作者： ZHENG Yufan (department of mathematics,east china normal university,shanghai 200062,china)

Based on the notion of maximal absolute observability and its normalforms,a new method for studying the local stabilization for a kind of nonlinearcontrol systems is *** from the previous results given by Byrnes-Isitori and others,this new method can deal with more general systems,and hasmuch simpler way to prove the stabilization conditions and to design the feedbacklaws.

关键词： Nonlinear control absolute observability zero dynamics minimumphase

On Non-Decomposable Hermitian Forms over Gaussian Domain

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Acta Mathematica Sinica,English Series 1998年第4期14卷 447-456页

作者： Zhu Fuzu, department of mathematics, east china normal university, shanghai 200062, china east china normal university Department of Mathematics Shanghai China (GRID:grid.22069.3f) (ISNI:***)

Methods are presented for the construction of non-decomposable Hermitian forms over the ring of integers of an imaginary quadratic field.

关键词： Non-decomposable form Indecomposable form Odd form Even form Reduced form

Smoothness for the collision local times of bifractional Brownian motions

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Science china mathematics 2011年第9期54卷 1859-1873页

作者： SHEN GuangJun 1,2,& YAN LiTan 3 1 department of mathematics,east china university of Science and Technology,shanghai 200237,china 2 department of mathematics,Anhui normal university,Wuhu 241000,china 3 department of mathematics,Donghua university,shanghai 201620,china department of mathematics East China University of Science and Technology Shanghai China department of mathematics Anhui Normal University Wuhu China department of mathematics Donghua University Shanghai China

Let B^Hi,Ki ={ Bt^Hi,Ki, t ≥ 0}, i= 1, 2 be two independent bifractional Brownian motions with respective indices Hi ∈ （0, 1） and K∈ E （0, 1]. One of the main motivations of this paper is to investigate f0^Tδ（Bs^H1 ,K1 - the smoothness of the collision local time, introduced by Jiang and Wang in 2009, IT = f0^T δ（Bs^H1,K1）ds, T 〉 0, where 6 denotes the Dirac delta function. By an elementary method, we show that iT is smooth in the sense of the Meyer-Watanabe if and only if min{H-1K1, H2K2} 〈-1/3.

关键词： bifractional Brownian motion collision local time intersection local time chaos expansion

Enhancing Positive Citizenship Ideals on Students Through Bibliotherapy and Cognitive Counseling

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心理科学 2002年第1期25卷 47-52页

作者： Ismail Hussein Hashim (east china normal university department of Psychology,shanghai,200062) eastchinanormaluniversitydepartmentofPsychology Shanghai200062

The paper views feelings touching as very important in cultivating positive citizenship ideals amongst the *** main preoccupation of the study was to provide relevant information concerning the efficacy of bibliotherapy and cognitive counseling as two methods that could be applied by counselors in school field to promote positive citizenship ideals in the *** study was carried out in Alfashir principality (Sudan)in April *** of one hundred and twenty five secondary school students were touched with regards to what they regarded as citizenship *** control and experimental measures approach,the two groups of the subjects were treated to bibliotherapy and cognitive counseling, while the third group was left as control *** indicated significant differences in the efficacy of the two methods for positively fostering citizenship ideals among the youth in favor of *** results have demonstrated that bibliotherapy can be effectively applied in school setting through the school curriculum to positively foster citizenship ideals among the youth.

关键词：学生心理学读书疗法认知咨询服务心理研究教育心理学

CODIMENSION 3 BIFURCATIONS OFHOMOCLINIC ORBITS WITH ORBITFLIPS AND INCLINATION FLIPS

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Chinese Annals of mathematics,Series B 2004年第4期25卷 555-566页

作者： SHUISHULIANG ZHUDEMING CollegeofmathematicsandPhysics ZhejiangNormalUniversityJinhua321004ZhejiangChina. departmentofmathematics EastChinaNormalUniversityShanghai200062China.

The homoclinic bifurcations in four dimensional vector fields are investigated by setting up a local coordinates near the homoclinic orbit. This homoclinic orbit is nonprincipal in the meanings that its positive semi-orbit takes orbit flip and its unstable foliation takes inclination flip. The existence, nonexistence, uniqueness and coexistence of the 1-homoclinic orbit and the 1-periodic orbit are studied. The existence of the twofold periodic orbit and three-fold periodic orbit are also obtained.

关键词： Bifurcation Homoclinic orbit Orbit flip Inclination flip Periodic orbit