STABILITY OF SWITCHED POLYNOMIAL SYSTEMS

This paper investigates the stability of （switched） polynomial systems. Using semi-tensor product of matrices, the paper develops two tools for testing the stability of a （switched） polynomial system. One is to convert a product of multi-variable polynomials into a canonical form, and the other is an easily verifiable sufficient condition to justify whether a multi-variable polynomial is positive definite. Using these two tools, the authors construct a polynomial function as a candidate Lyapunov function and via testing its derivative the authors provide some sufficient conditions for the global stability of polynomial systems.     

POINCARE BIFURCATIONS IN POLYNOMIAL DIFFERENTIAL SYSTEMS

1.IntroductionForagivenunperturbedplanarsystemwithafamilyofclosedorbits,considerthecreationofisolatedclosedorbits--limitcyclesbyperturbationofthesystem.ThatiscalledthePoillcar6bifurcation.Therearewell-knowntheoreticalresultsaboutPoincar6bifllrcati()11,seeforexam-Ple[1],[2].InthecasewheretheunperturbedsystemisHamiltonian,thepertllrbedsystemcanbewrittenasinwhichweassumethatp(x,y,0)=Q(x,U,(i)~0,and(1)A--ohasafamilyofclosedorbitsgivenbytheHamiltonianintegralnfH(x,y)=h,0相似文献   

EFFICIENCY OF ESTIMATION OF FIXED POLYNOMIAL EFFECTS IN MIXED MODELS BASED ON PBIB DESIGN

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ON A LINEAR EQUATIONS METHOD OF NONLINEAR POLYNOMIAL EQUATIONS-SOLVING

A method for solving nonlinear polynomial equations is given which avoids theappearance of redundant factors as in the previous characteristic set method developed bythe present author. The new method seems thus to be of much higher efficiency than theprevious one. It has the further advantage that numerical data may be inserted at willeither at the outset or during the procedure so far removal of factors by divisions may beavoided.     

关于武器装备采购策略的初步探讨

本文论述了武器装备采购在军队建设中的地位和作用。探讨了采购工作的基本要求和以系统工程的方法处理采购过程的基本内涵;三个“决策”,即立项决策、认可决策和生产决策的重要意义;采购周期中的关键问题和经验。同时,还着重介绍了国外的若干重要教训及其改进措施。可供武器装备采购策略研究参考。     

实时专家系统研究

在本文中,我们首先讨论了什么是实时专家系统,研究它的理由及其与通常所说的专家系统有何不同。阐述了实时专家系统的研究现状及未来的研究方向。最后简要地介绍了实时专家系统应用和工具的研究实例。     

ON THE CONSTRUCTION OF GROEBNER BASIS OF A POLYNOMIAL IDEAL BASED ON RIQUIER-JANET THEORY

As a consequence of a previons study of algebraic differential geometry(see [WU1]) theremay be associated to certain special kinds of differential ideals some well-behaved basis enjoyingsome well-behaved properties.If the differential ideals are further specialized so that theycorrespond to ordinary polynomial ideals then such a well-behaved basis will become the usualGroebner basis of the polynomial ideals while the latter is not known for differential ideals.     

ON LIMITATIONS OF THE SAMPLED—DATA FEEDBACK FOR NONPARAMETRIC DYNAMICAL SYSTEMS

In this paper, we study a basic class of first order sampled-data control systems with unknown nonlinear structure and with sampling rate not necessarily fast enough, aiming at understanding the capability and limitations of the sampled-data feedback. We show that if the unknown nonlinear function has a linear growth rate with its "slope" (denoted by L) being a measure of the "size" of uncertainty, then the sampling rate should not exceed 1/L multiplied by a constant (≈ 7.53) for the system to be globally stabilizable by the sampled-data feedback. If, however, the unknown nonlinear function has a growth rate faster than linear, and if the system is disturbed by noises modeled as the standard Brownian motion, then an example is given, showing that the corresponding sampled-data system is not stabilizable by the sampled-data feedback in general, no matter how fast the sampling rate is.     

AN INVESTIGATION OF THE POLYNOMIAL FORFORWARD ANALYSIS OF A FLORIDA PLATFORM

1.IntroductionInthisreportwewillpresentsomecomputationalresultsforthekinematicsolutionofanin-parallelmechanismplatformdesignedattheUniversityofFlorida.Thefigureoftheplatformanalysedhereisasfollows.Figure1Theconnectingpointsjoinvenicestosidesofthepairoftriangles.Thisisaspecialcaseofwhatwehaveconsideredin[l].Sincebothofthefixedandmovingplatformsaretriangles,andsomejointcenterslieonthecorrespondingsidesofthem,wecanspecifysomeparametersin[1]foranalysis.Itturnsoutthatmorecomputationalresultscanbe…     

ON COMPLEX DYNAMIC CONTROL SYSTEMS

This paper presents some recent works on the control of dynamic systems,which have certain complex properties caused by singularity of the nonlinear structures,structure~varyings, or evolution process etc. First, we consider the structure singularity of nonlinear control systems. It was revealed that the focus of researches on nonlinear control theory is shifting from regular systems to singular systems. The singularity of nonlinear systems causes certain complexity. Secondly, the switched systems are considered. For such systems the complexity is caused by the structure varying. We show that the switched systems have significant characteristics of complex systems. Finally, we investigate the evolution systems. The evolution structure makes complexity, and itself is a proper model for complex systems.     

ON LOCAL STABILIZATION OF NONLINEAR CONTROL SYSTEMS

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 established.Different 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.     

FEEDBACK REALIZATION OF HAMILTONIAN SYSTEMS

1 IntroductionIn the last few decades, symplectic geometry becomes a lbcus fOr multi-disciplines. Aspointed out in [1l: '"' cIassical mechanics, statistical mechanics, and quantum mechanics aretreated from the same perspective, that ofsylllplectic geornetry thus showing the unifying powerof the symp1ectic geometric approach." Particularly it becomes a new frame fOr Hamiltoniansystems[2--5]. Symp1ectic a1gorithm, [6] etc., provides a numerical method fOr solving the relatedproblems.In contr…     

广义系统的时域解析

本文提出了适合于计算机求解的广义系统时域解析方法。主要解决了L~(-1){(E_s-A)~(-1)}当E、A都奇异时一种不需人机交互的计算方法。     

基于人工神经网络的水电补偿调节研究

将人工神经网络应用于水电优化补偿调节,建立了基于Ｈｏｐｆｉｅｌｄ网络的水电补偿调节模型,提出了相应的综合算法,并将其应用于实际问题,得到了满意的结果。     

STABILIZATION OF NONLINEAR SYSTEMS WITH HOMOGENEOUS STABILITY

1.IntroductionTheconceptsofrelativedegreeandzerodynamicshavebeenproposedbyByrnes,Isidoriandotherstotreatlocalfeedbackstabilizationproblemofnonlinearcolltrolsystems.Oneofthekeypointsforthismethodistousecelltermanifoldtheory.[1]wasoneoftheearliestworksusingcentermanifoldtechniqueinthisarea.Firstofall,wewilldescribethecentermanifoldmethodthroughanexampletoshowhowthecentermanifoldmethodcanbeusedtosolvethestabilizationproblem.Forconvenience,wecitesomebasicresultsfrom[2].Theorem1.1Considerasystemw…     

声表面波编码器及其在现代通信中的应用

本文论述了用声表面波(SAW)技术实现ASK和PSK编码调制的原理及其方法,并对SAW编码器在扩展频谱通信系统和现代电子自动识别系统中的应用作了较详细的介绍。     

OPTIMAL CONTROL OF GROWTH RATE FOR A CLASS OF POPULATION SYSTEMS

In this paper,we discuss the optimal control of growth rate for a class of population systems governed by nonlinear degenerate parabolic equations.Given an ap-propriate cost functional,we prove the existence of the optimal growth rate and give some necessary conditions for optimal growth rate.     

DIVERGENCE RATE OF STATE OF AR SYSTEMS WITH UNSTABLE UNIT ROOTS

The order of weighted sum of noise sequence for stochastic system is estimated by using limit theory in probability. Then the divergence rates of state of unstable AR system driven by noise of martingale difference sequence are established.     

ABSOLUTE STABILITY OF GENERAL LURIE DISCRETE NONLINEAR CONTROL SYSTEMS

1 IntroductionUp to now, there are many results about abso1ute stability for Lurie discrete controlsystems{'--'l. Some sufficient conditions and necessary and sufficient conditions of absolutestability are obtained. But there are a few resuIts about gener…