OPTIMAL CONTROL FOR LINEAR SYSTEM WITH QUADRATIC INDEFINITE CRITERION ON HILBERT SPACES

In this paper we consider optimal control problems for linear system on real separableHilbert spaces with quadratic criterion,in which the state weighted operators are indefinite.Wellposedness and solvability,existence and uniqueness of optimal control are discussed.Weprove that the closed-loop syntheses of optimal control are state linear feedback.Existence ofsolutions of related operator Riccati equations is investigated.     

ON CRITERION OF THE EXTREMALITY ANDCONSTRUCTION OF HAMILTON SEQUENCESFOR A CLASS OF TEICHMLLER MAPPINGS

gi. Introductionj is a TeichmUller self-mapping of the unit disk D = {lzl < 1}, if f is a quasiconformalself-mapping of D with a complex dilatation of the formwhere W(z) is holomorphic in D, and k is a constant. Let Q(f) denote the cias$of allquasicochrmal self-mappings of D that aams with j on the boundary OD, f will be calledextremal if IIUlll@ S lip,ll., for mp g E Q(f). Let B(D) depote the class of functionsw(x) holomorphic in D, with the additional restriction 0 < Ilwll ~ 11 Ic(~)…     

JOINT MODEL AND CRITERION OPTIMAL EXPERIMENT DESIGN

In this paper,a new optimal design criterion--joint model and criterion optimal de-sign criterioon is put forward. The design that is subject to this criterion satisfies many kinds of lin-ear optimal criterion and D-optimal criterion on several experiment models at the same time. Theequivalent condition of this optimal design is given. Its iterative algorithm and the algorithm cover-genee are stated.     

AN OSCILLATION CRITERION FOR A DISCRETE ELLIPTIC EQUATION

ＡＮＯＳＣＩＬＬＡＴＩＯＮＣＲＩＴＥＲＩＯＮＦＯＲＡＤＩＳＣＲＥＴＥＥＬＬＩＰＴＩＣＥＱＵＡＴＩＯＮ￥ＳｕｉＳｕｎＣｈｅｎｇ（ＴｓｉｎｇＨｕａＵｎｉｖｅｒｓｉｔｙ，ＴＡＩＷＡＮ，３００４３）Ａｂｓｔｒａｃｔ：Ａｎｏｓｃｉｌｌａｔｉｏｎｃｒｔｅｒｉｏｎ...     

A NEW CRITERION FOR STABILITY OF LINEARTIME-DEPENDENT SYSTEM

1IntroductionWhenacontrolsystemisdesignedandanalysed,therearemanyperformanceindexesthatshouldbetakenintoaccount.Amongthem,themostimportantoneisstabilityofthesystem.Fromapracticalpointofview,astablesystemisuseful,whileanunstableoneuseless.Thereforethestudy…     

OSCILLATION CRITERION FOR A CLASS OFSECOND ORDER SUBLINEAR DIFFERENTIALEQUATIONS

W(3considerthesecondor0andf(y)eC(--co,co)isTI(,11-d(3(\1'(3asillginy,andsat,is;ftes7/[(:!/)>0,if7//0(2)Assumef(y)satisfiessublinea,rconditionThroughoutthepaperswerestrictourattentiolloillytot-…     

央企MA实践观

对于推动管理会计,无论是从我国主要的政府部门来说,还是对企业而言,目前我们已经形成了两条重要经验：一是加快管理会计人才建设,二是企业要实践适合自身的管理会计方法。10月22日,国务院国有资产监督管理委员会群众工作局与国家外国专家局培训中心在北京举办“2014年中央企业注册管理会计师（CMA）培训开班仪式”。外专局培训中心副主任郑杰在会上指出,自2010年10月始,     

海尔的MA人才观

在“人单合一”双赢模式以及财务变革背景下,海尔集团打造出了一支优秀的管理会计人才队伍。实际上,在海尔集团“人单合一”双赢模式以及财务变革的背景下,海尔需要形成一个合理的用人机制并打造一支优秀的管理会计人才队伍,来适应这样的管理模式和财务变革。为此,海尔专门成立了一支团队做整个财务的人力资源工作,目的是形成适合集团发展的人才结构。10月17日,由国家外国专家局培训中心、     

如何搭建MA体系

搭建管理会计体系,已经成为我国企业亟待解决的重要问题。经济全球化、大数据以及网络技术的发展,对我国企业既是机遇又是挑战,搭建管理会计体系,推进包括成本制度在内的管理创新转型是我国企业面临的必然选择和亟待解决的重要问题。本期,笔者就企业搭建管理会计体系问题谈一些看法：首先,企业要系统性分析目前主要面临的问题和管理会计体系的特点。现行体制下,中国的企业普遍面临政府管制、法人治理结构不完善、     

AN OSCILLATION CRITERION FOR EVEN ORDER NEUTRAL DIFFERENCE EQUATIONS

An oscillation criterion is obtained for even order neutral type differenceequations of the following formΔ~m(x_n+α_nx_(n-т))+f(n,x_n,x_(n-σ))=0,n=n_0,n_0+1,…,where m≥2 is even, n_0 is a nonnegative integer, Δ is the forward differenceoperator defined by Δx_n=x_(n+1)-x_n, and for i≥1, Δ~i is the i~(th)-order forwarddifference operator defined by Δ~ix_n=Δ(Δ~(i-1)x_n),т and σ are positive integers.     

国药控股：探路MA

作为中国目前最大的药品及医疗保健产品分销商,国药控股对管理会计的实践早已先试先行。10月13日,美国管理会计师协会（IMA）全球CEO Jeff Thomson一行访问了国药控股分销中心有限公司,为该公司颁发了“IMA中国区黄金合作伙伴奖”,以鼓励和肯定其作为管理会计先行者,不断拥抱挑战,敢于进行管理会计的实践与创新。事实上,作为中国目前最大的药品及医疗保健产品分销商及领先的供应链服务商,     

BOUNDS ON COINCIDENCE INDICES ON NON-ORIENTABLE SURFACES

§ 1 . IntroductionQuestions about bounds for indices ?rst appeared in the ?xed point context. The ?rstresults appeared in studies of surface homeomorphisms (see [13, 18, 19]). In [12, 14] and[15] some results about bounds for Nielsen ?xed point class ind…     

A NEW OSCILLATION CRITERION FOR FIRST ORDER NEUTRAL DELAY DIFFERENTIAL EQUATION

In this paper, a new sufficient condition for the oscillation of all solutions of first order neutral delay differential equations is obtained. Secondly, the result can also be extended to a general neutral differential equation, and many known results in the literatures are improved.     

A SIMPLE STABILITY CRITERION FOR A SYSTEM OF NEUTRAL DIFFERENTIAL EQUATIONS

ＡＳＩＭＰＬＥＳＴＡＢＩＬＩＴＹＣＲＩＴＥＲＩＯＮＦＯＲＡＳＹＳＴＥＭＯＦＮＥＵＴＲＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＹｕＪｉｎｃｈａｎｇ（余晋昌）（ＤｏｎｇｇｕａｎＮｏｒｍａｌＳｃｈｏｏｌ，东莞师范学校，邮编：５１７００）Ａｂｓｔｒａｃ...     

ON VARIATIONAL INEQUALITIES

Key words and phrases: star set, degree of star, general variational inequalities, end-point representation,bilinear forms, monotone operators, piecewise coerciveness, errorestimate.     

THE LIMIT CIRCLE CRITERION OF THE SECOND ORDER NONHOMOGENEOUS FUNCTIONAL DIFFERENTIAL EQUATIONS

ＴＨＥＬＩＭＩＴＣＩＲＣＬＥＣＲＩＴＥＲＩＯＮＯＦＴＨＥＳＥＣＯＮＤＯＲＤＥＲＮＯＮＨＯＭＯＧＥＮＥＯＵＳＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＸｕＺｈｉｔｉｎｇ（徐志庭）＆ＸｉｎｇＨｏｎｇｙａｎ（邢鸿雁）（Ｇｕａｎｇｄｏｎ...     

ON HILBERT''''S INEQUALITY

Hilbert,5 inequality 15 an important theo]may te Put into two forms:integral and disoretefor analy七10 funotion whiohI沂f(二)g(夕) 劣+夕、‘;、,打Jfa(咖《。劝“,‘,。”}r鑫1斋}、派了客,价,·氮‘“·,“·A)功The following inequality 15 in the name of丑ilbert:(0)}:演1鲁}’、、信!ar}·’乡:;·whereA~际.If。’,and乙,s吕re real num悦r。,thonA二2,;if石一压,then左二,(眠[1,3]). Theorem 1.Le云娜么云么。,如。‘咖sf(二),g伽)任LZ(0,OO).T肠、(JJIJ,(·)。。·)“·“,)’、冰·{(丁丁,2。·)‘今’ 一(厂(…     

ON LKUR SPACES

In this paper it is proved that if X is an LKUR space,then X has(H)property andif X is an LKUR space,then X has RNP.Also,if M is a Chebyshev subspace of LKURspace,then P(M) is continuous.     

ON EFFECTIVE NON-VANISHING OF WEIL DIVISORS ON ALGEBRAIC SURFACES

The author gives a counterexample and some conclusions for effective non-vanishing of Weil divisors on algebraic surfaces.     

ON COPOSITIVE APPROXIMATION

The present note investigates the divergence phenomenon of copositive approximation by poiynomials inL'spaces. We show that the Jackson type estimates cannot hold, in general, for moduli of smoothness ofhigher degree.