共查询到20条相似文献,搜索用时 31 毫秒
1.
COSTA O. L. V.; KUBRUSLY C S. 《IMA Journal of Mathematical Control and Information》1993,10(4):273-291
The problem of quadratic optimal feedback control for infinite-dimensionaldiscrete bilinear systems is associated with an algebraic Riccati-likeoperator equation. The existence and uniqueness of a nonnegativesolution to such a Riccati-like operator equation is establishedas the strong limit of a sequence of solutions to Lyapunov-likeoperator equations.
This research was supported in part by CNPq (Brazilian NationalResearch Council) and FAPESP (Research Council of the Stateof sào Paulo). 相似文献
2.
Mixed block elimination for linear systems with wider borders 总被引:1,自引:0,他引:1
The paper is about the stable solution of possibly ill-conditionedbordered linear systems. Given stable solvers for matrix A andfor AT, we prove that the Govaerts Mixed Block Elimination (BEM)method constitutes a stable solver for the matrix consistingof A or AT with a border of width 1, and hence by recursionfor a border of any width. We express the algorithm in an efficient,iterative, form. We analyse its operation count, and verifythe theory by extensive numerical experiments.
*Senior Research Associate of the Belgian National Fund of ScientificResearch NFWO. 相似文献
3.
A new pseudospectral method is presented for numerical solutionsof singular perturbation problems without turning points. Boththeoretical and numerical analyses show that this new methodis an upwind scheme. It is shown that when the perturbationparameter is fixed the computed solution converges spectrallyto the exact solution as the number of collocation points tendsto infinity.
* Supported by a Royal Fellowship Award from the Royal Societyof London. 相似文献
4.
It is shown that the CaratheodoryFejer extension of afinite geometric series can be given explicitly up to a simplepolynomial equation in an auxiliary variable. This result allowsus to analyse the Caratheodory-Fejer approximation method inthe case where the quotients of successive Maclaurin coefficientsof the given function tend to a limit.
*Research carried out while this author was at ETH Zurich partiallysupported by a Royal Society European Visiting Fellowship. 相似文献
5.
We propose a method for the approximation of analytic functionson Jordan regions that is based on a CarathéodoryFejértype of economization of the Faber series. The method turnsout to be very effective if the boundary of the region is analytic.It often still works when the region degenerates to a Jordanarc. We also derive related lower and upper bounds for the errorof the best approximation.
*Research carried out while this author was at ETH Zurich partiallysupported by a Royal Society European Visiting Fellowship. 相似文献
6.
Arnal Josep; Migallon Violeta; Penades Jose; Szyld Daniel B. 《IMA Journal of Numerical Analysis》2008,28(1):143-161
7.
Adaptive frame methods for elliptic operator equations: the steepest descent approach 总被引:2,自引:0,他引:2
Dahlke Stephan; Raasch Thorsten; Werner Manuel; Fornasier Massimo; Stevenson Rob 《IMA Journal of Numerical Analysis》2007,27(4):717-740
8.
Using the technique of singlar perturbation, a procedure fordesigning a discretetime reducedorder controllerfor robust stabilization is proposed. The theoretical aspectsare derived directly from the results of the generalized PopovYakubovichtheory recently developed.
1Vlad Ionescu, 3 Emile Zola, Bucharest, 71272, Romania.
2Cristian Oara, 34 Austrului, Bucharest, 73115, Romania. 相似文献
9.
A note on interval-polynomial stability 总被引:1,自引:0,他引:1
In this note, a theorem of Kharitonov and a theorem of XieNare combined to obtain an approach which simplifies dealingwith the problems of intervalpolynomial stability.
*On leave with Sibley School of Mechanical & Aerospace Engineering,Cornell Univ., Ithaca, NY 14853, USA. 相似文献
10.
A maximum principle is obtained for optimal controls for someelliptic variational inequalities of the second kind by usingthe penalty method, Ekelans's variational principle, and lowersemicontinuity of some set-valued mappings. It has been shownthat this principle leads to some known optimality conditionsin many cases. It also yields new optimality conditions. Insome cases, it leads to an analogy of pontryagin's principle.
Permanent address: Mathematics Department, Centre South Universityof Technology, China. 相似文献
11.
The term "trajectory problem" is taken to include problems thatcan arise, for instance, in connection with contour plotting,or in the application of continuation methods, or during phaseplane analysis. Geometrical techniques are used to constructdifference methods for these problems to produce in turn explicitand implicit circularly exact formulae. Based on these formulae,a predictor-corrector method is derived which, when comparedwith a closely related standard method, shows improved performance.It is found that this latter method produces spurious limitcycles, and this behaviour is partly analysed. Finally, a simplevariable-step algorithm is constructed and tested.
Visting Scientists at the National Research Institute for MathematicalSciences, CSIR, P.O. BOX 395. pretoria, South Africa 相似文献
12.
In this paper we consider a monotonic and conservative variationon the direct Lagrange-Galerkin method due to Priestley, andaddress certain problems with both the original Lagrange-Galerkinmethod and this new method which disappear with the use of higher-orderC1 basis functions. Here we concentrate on the use of Hermite-cubics,demonstrating their superior stability in the Lagrange- Galerkinmethod, and the adaptations of the recovery techniques neededto ensure monotonicity and near conservation.
Current address: Schlumberger GeoQuest, Abingdon Business Park,Oxon OX14 10 UK. 相似文献
13.
Numerical treatment of retarded boundary integral equations by sparse panel clustering 总被引:1,自引:0,他引:1
14.
On the perturbation of LU and Cholesky factors 总被引:1,自引:0,他引:1
In a recent paper, Chang and Paige have shown that the usualperturbation bounds for Cholesky factors can systematicallyoverestimate the errors. In this note we sharpen their resultsand extend them to the factors of the LU decomposition. Theresults are based on a new formula for the first-order termsof the error in the factors.
* This report is available by anonymous ftp from thales.cs.umd.eduin the directory pub/reports. 相似文献
15.
In this paper we analyze the use of a combined Nystrm and finite-elementprocedure for approximating the scattered time-harmonic acousticfield produced when an incident wave interacts with a boundedinhomogeneity. The coupling technique uses a smooth artificialboundary and explicitly decouples the integral equation andfinite-element computations. We prove convergence of the method.One highlight of this analysis is that we prove Sobolev spaceerror estimates for the Nystrm scheme (which is usually analyzedin Hlder spaces). We also present some numerical results.
E-mail: kirsch{at}am.uni-erlangen.de
E-mail: monk{at}math.udel.edu 相似文献
16.
A concise review is given of some recent methods for performingalgebraic operations on polynominal matrices. The problems addressedare division, inversion, and extraction of greatest common divisorof a pair of matrices.
Based on a presentation at the International Symposium on theMathematical theory of Networks and Systems, Amsterdam, June1989. 相似文献
17.
TRIANTAFILLIDIS S.; LEACH J. A.; OWENS D. H.; TOWNLEY S. 《IMA Journal of Mathematical Control and Information》1996,13(3):251-277
A problem of universal adaptive stabilization in Rn is approachedin a qualitative manner to relate the form of the trajectoriesin the extended state space Rn+1 to the root locus of the associatedfixed-parameter linear system. Relationships are derived betweenthe values of the limit gain and the initial conditions. Numericalstudies are used to illustrate and support these ideas by computationof generic trajectories and attempted computation of certainnon-generic possibilities. The implications of the study formore general dynamic situations are outlined.
These authors are also with the Department of Mathematics,University of Exeter, EX4 4QE. 相似文献
18.
Bai Xiaoming; Yang Xiao-Song; Li Huimin 《IMA Journal of Mathematical Control and Information》2007,24(4):483-491
19.
The stability of nonautonomous delay differential equationsis studied via a combination of the global linerization andnonlinear variation of parameter techniques.
Permanent address: Department of Mathematics, University ofElectronics Science & Technology of China, Chengdu, China. 相似文献
20.