共查询到20条相似文献,搜索用时 140 毫秒
1.
Han J. D.; Jiang Z.; Nie Y. Y. 《IMA Journal of Mathematical Control and Information》2007,24(4):473-482
Email: jdhan{at}sia.cn Email: zhjiang{at}sia.cn Corresponding author Email: nyy{at}sia.cn
Received on March 6, 2006; Accepted on September 4, 2006 In this paper, the conception of numerical stabilization, whichis related to mantissa digits of computer and dimensions ofsystem, is described; and several strategies for the numericalstabilization of polynomial and matrix are presented. 相似文献
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Wu Ligang; Lam James; Wang Changhong 《IMA Journal of Mathematical Control and Information》2009,26(1):23-44
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Email: klaus{at}roebenack.de In this paper, we discuss a generalization of the extended Luenbergerobserver. Our approach can be interpreted as an approximateerror linearization. The design procedure which is formulatedin terms of Lie derivatives and Lie brackets can easily be implementedusing computer algebra software. 相似文献
5.
BOLDRINI JOSE L.; COSTA MICHEL I. S. 《IMA Journal of Mathematical Control and Information》2000,17(1):33-51
Email: boldrini{at}ime.unicamp.brAuthor to whom correspondence should be addressed. Email: michel{at}Incc.br Three nonlinear models of tumour cell growth under continuousdelivery of cycle nonspecific anticancer agents are studied.A dynamical optimization problem with the objective of minimizingthe final level of tumour cells is posed for these mathematicalsetups. The simplest setup does not possess toxicity constraints,whereas the other setups contain a dynamical equation describingthe therapy burden as a toxicity criterion. In addition, thethird setting contains the dynamics of drug resistant cells.A discussion conceming the optimal strategies of the respectivemodels is performed. 相似文献
6.
An LMI-based approach for robust stabilization of time delay systems containing saturating actuators
El Haoussi Fatima; Tissir El Houssaine 《IMA Journal of Mathematical Control and Information》2007,24(3):347-356
Email: elhaous_fati{at}yahoo.fr Corresponding author. Email: elh_tissir{at}yahoo.fr
Received on September 8, 2005; Accepted on July 24, 2006 This paper deals with the problem of robust stabilization foruncertain systems with input saturation and time delay in thestate. The parameter uncertainties are time-varying and unknownbut are norm bounded. Sufficient conditions obtained via a linearmatrix inequality formulation are stated to guarantee the localstabilization. The method of synthesis consists in determiningsimultaneously a state feedback control law and an associateddomain of safe admissible states for which the stability ofthe closed-loop system is guaranteed when control saturationseffectively occur. Numerical examples are used to demonstratethe effectiveness of the proposed design technique. 相似文献
7.
Email: msmahmoud{at}kfupm.edu.sa
Received on September 21, 2007; Revision received March 10, 2008. Accepted on April 30, 2008 In this paper, new results are established for the delay-dependentproblems of dissipative analysis and state-feedback synthesisof singular time-delay (STD) systems with polytopic uncertainties.The developed results for the nominal singular system encompassavailable results on approach, passivity and positive realnessfor STD systems as special cases. All the sufficient stabilityconditions are cast as linear matrix inequality-based feasibilitytests. Robust dissipativity results are also derived. Numericalexamples are provided. 相似文献
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The principal aim of this paper is to present the idea of generalizedfrequency response of a nonlinear input-output map Sxo.It is defined as · Sxo · -1 where is the canonicalisomorphsim from the weighted space L2w[0, ] to 2 with respectto a given basis for L2w(0 , ) and the standard basis for 2.Realization results are presented pertainig to the linear, bilinear,and nonlinear cases. 相似文献
9.
Email: csfvega{at}dm.uba.ar
Received on August 17, 2006; Accepted on September 8, 2007 Necessary conditions are proved for optimal control problemsinvolving an infinite horizon and terminal conditions at infinitywhose states are governed by Volterra integral equations withnon-linear time delay. 相似文献
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LI ZHENGGUO; SOH CHEONG BOON; XU XINHE 《IMA Journal of Mathematical Control and Information》1999,16(4):315-334
Corresponding author, Email: cbsoh{at}auto.eee.ntu.ac.sg This paper considers the controllability and observability ofhybrid dynamic systems with impulsive switching of the otherwisecontinuously evolving state. It derives necessary and sufficientconditions for impulsive hybrid dynamic systems to be controllableand observable. 相似文献
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Differential algebraic controllability, observability, and minimalrealization are considered further, upon which a new equivalenceproblem, i.e. the minimal equivalence of two given differentialinput-output (IO) systems through state-space realization isconsidered. Some criteria for equivalence and minimal equivalenceof two IO systems are given. The algorithm for checking minimalequivalence of two IO systems with single input is implementedwith MACSYMA.
Email: xyl{at}sun.engg.le.ac.uk
David.Bell{at}umist.ac.uk 相似文献
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Email: gugat{at}am.uni-erlangen.de
Received on April 30, 2006; We consider a finite string that is fixed at one end and subjectto a feedback control at the other end which is allowed to move.We show that the behaviour is similar to the situation whereboth ends are fixed: As long as the movement is not too fast,the energy decays exponentially and for a certain parameterin the feedback law it vanishes in finite time. We considermovements of the boundary that are continuously differentiablewith a derivative whose absolute value is smaller than the wavespeed. We solve a problem of worst-case optimal feedback control,where the parameter in the feedback law is chosen such thatthe worst-case Lp-norm of the space derivative at the fixedend of the string is minimized (p [1, )). We consider the worstcase both with respect to the initial conditions and with respectto the boundary movement. It turns out that the parameter forwhich the energy vanishes in finite time is optimal in thissense for all p. 相似文献
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This paper provides characterizations of the Pareto distributionof the second kind, the Pearson type-VII distribution and thet-distribution. These characterizations have been obtained throughmaximization of -entropies. As 1, characterizations of the exponential,the Laplace, and the normal distributions are obtained.
On sabbatical leave from the Department of Statistics, YarmoukUniversity, Irbid, Jordan. 相似文献
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In this paper we examine computation of optimal control u* ofthe exact controllability problem (referred to as the constraintproblem) governed by the following type of linear parabolicdifferential equations: (y/t) + Ay = u in Q y = 0 on y(0) = y0 on where A is the second-order elliptic differential operator, is a bounded domain in k with smooth boundary , Q = (0, T)x , = (0, T) x and T > 0. This is achieved by approximatingu* through a sequence {un} of controls corresponding to unconstrainedproblems involving a penalty function arising from the controllabilityconstraint. 相似文献
15.
For reciprocation with respect to a sphere x2=c in Euclideann-space, there is a unitary analogue: Hermitian reciprocationwith respect to an antisphere u=c. This is now applied, forthe first time, to complex polytopes. When a regular polytope has a palindromic Schläfli symbol,it is self-reciprocal in the sense that its reciprocal ', withrespect to a suitable concentric sphere or antisphere, is congruentto . The present article reveals that and ' usually have togetherthe same vertices as a third polytope + and the same facet-hyperplanesas a fourth polytope (where + and are againregular), so as to form a compound, +[2].When the geometry is real, + is the convex hull of and ', while is their common content or core. For instance,when is a regular p-gon {p}, the compound is
The exceptions are of two kinds. In one, + and are notregular. The actual cases are when is an n-simplex {3, 3, ...,3} with n4 or the real 4-dimensional 24-cell {3, 4, 3}=2{3}2{4}2{3}2or the complex 4-dimensional Witting polytope 3{3}3{3}3{3}3.The other kind of exception arises when the vertices of arethe poles of its own facet-hyperplanes, so that , ', + and all coincide. Then is said to be strongly self-reciprocal. 相似文献
16.
Email: skrakowi{at}usk.pk.edu.pl
Received on June 15, 2005; Accepted on July 12, 2006 In this paper, the time-optimal control problem for parabolicsystems in which time lags appear in the integral form bothin the state equation and in the Neumann boundary conditionis presented. The particular properties of the optimal controlare discussed. 相似文献
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AINSWORTH M.; KELLY D. W.; SLOAN I. H.; WANG S. L. 《IMA Journal of Numerical Analysis》1997,17(4):547-561
Email: ain{at}mcs.le.ac.uk Email: D.Kelly{at}unsw.edu.au* Email: I.Sloan{at}unsw.edu.au** Email: swang{at}cs.curtin.edu.au It is shown how the finite element approximation of a nonlinearheat conduction problem may be post-processed to yield enhancedapproximations to the solution and the flux at any point inthe domain. Sharp computable bounds on the accuracy of the post-processedapproximations are derived. A criterion is identified for guidingadaptive refinements of the finite element discretization. Anumerical example is given illustrating the theoretical results. 相似文献
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In this paper, we consider H control problem with measurementfeedback for flexible beam equation systems. The aim is to constructa finite-dimensional H controller with a given level for theflexible beam equation system. For that purpose, we first formulatethe system as an infinite-dimensional system in l2 and derivea finite-dimensional reduced-order system for the infinite-dimensionalsystem. Then, an H controller with level d less than is constructedfor the reduced-order model. The finite-dimensional controllertogether with a residual mode filter plays a role of a finite-dimensionalH controller with level for the original flexible beam equationsystem, if the order of the residual mode filter is chosen sufficientlylarge. 相似文献
19.
Bai Xiaoming; Yang Xiao-Song; Li Huimin 《IMA Journal of Mathematical Control and Information》2007,24(4):483-491
20.
Email: chlien{at}mail.nkmu.edu.tw
Received on August 10, 2006; Accepted on September 6, 2006 In this paper, delay-dependent guaranteed cost observer-basedcontrol for neutral systems with time-varying delays is considered.Control and observer gains will be given from the linear matrixinequality feasible solutions. Optimal guaranteed cost observer-basedcontrol which will minimize the guaranteed cost of the systemis provided. 相似文献