Abstract
Previous article Next article The Closed-Loop Time Optimal Control. II: StabilityPavol BrunovskýPavol Brunovskýhttps://doi.org/10.1137/0314013PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractThe problem, to which extent does the closed-loop time-optimal control of a linear system fulfill its task if the system is subject to small perturbations, is studied.[1] Pavol Brunovský, The closed-loop time-optimal control. I. Optimality, SIAM J. Control, 12 (1974), 624–634 MR0355719 (50:8193) 0301.49004 LinkISIGoogle Scholar[2] Pavol Brunovský, On the best stabilizing control under a given class of perturbations, Czechoslovak Math. J., 15 (90) (1965), 329–369 MR0181518 (31:5747) 0154.10005 Google Scholar[3] H. Hermes, J. Hale and , J. LaSalle, Discontinuous vector fields and feedback controlDifferential Equations and Dynamical Systems (Proc. Internat. Sympos., Mayaguez, P. R., 1965), Academic Press, New York, 1967, 155–165 MR0222424 (36:5476) 0183.15905 Google Scholar[4] T. Ważewski, On an optimal control problem, Differential Equations and Their Applications (Proc. Conf., Prague, 1962), Publ. House Czechoslovak Acad. Sci., Prague, 1965, 229–242 MR0201758 (34:1640) 0133.06005 Google Scholar[5] B. N. Pšeničnyj, Line jny je differencial'ny je igry, Avtomat. i Telemeh., (1968), 65–78 Google Scholar[6] A. F. Filippov, On certain questions in the theory of optimal control, Vestnik Moskov. Univ. Ser. I Mat. Meh., (1959), 25–32, English transl., this Journal, 1 (1962), pp. 76–84 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Discrete and Continuous Dynamical Systems, Vol. 35, No. 9 | 2015 Cross Ref Measurement stability of time-optimal feedback control of two-input strictly normal linear systemsJournal of Differential Equations, Vol. 86, No. 1 | 1 Jul 1990 Cross Ref Local Time-Optimal Feedback Control of Strictly Normal Two-Input Linear SystemsSIAM Journal on Control and Optimization, Vol. 27, No. 1 | 14 July 2006AbstractPDF (3497 KB)Sensitivity Analysis of Time Optimal Control SystemsIFAC Proceedings Volumes, Vol. 17, No. 2 | 1 Jul 1984 Cross Ref Multivalued mappingsJournal of Soviet Mathematics, Vol. 24, No. 6 | 1 Mar 1984 Cross Ref Stability with regime switchingJournal of Economic Theory, Vol. 29, No. 1 | 1 Feb 1983 Cross Ref Measurement stability of third-order time-optimal control systemsJournal of Differential Equations, Vol. 36, No. 1 | 1 Apr 1980 Cross Ref Discontinuous differential equations, IIJournal of Differential Equations, Vol. 32, No. 2 | 1 May 1979 Cross Ref Volume 14, Issue 1| 1976SIAM Journal on Control and Optimization1-188 History Submitted:20 July 1973Published online:03 August 2006 InformationCopyright © 1976 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0314013Article page range:pp. 156-162ISSN (print):0363-0129ISSN (online):1095-7138Publisher:Society for Industrial and Applied Mathematics
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