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Previous article On Certain Questions in the Theory of Optimal ControlA. F. FilippovA. F. Filippovhttps://doi.org/10.1137/0301006PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] V. G. Boltyanskii˘, , R. V. Gamkrelidze and , L. S. Pontryagin, On the theory of optimal processes, Dokl. Akad. Nauk SSSR (N.S.), 110 (1956), 7–10, (English translation in Report STL-T-Ru-22-60-5111-102, Space Technology Laboratories, Redondo Beach, California.) MR0084444 0071.18203 Google Scholar[2] Giovanni Sansone, Equazioni Differenziali nel Campo Reale, Vol. 2, Nicola Zanichelli, Bologna, 1949xvi+475, 2d ed. MR0030663 0039.30901 Google Scholar[3] Yaroslav Kurcvei˘l and , Zdeněk Vorel, Continuous dependence of solutions of differential equations on a parameter, Czechoslovak Math. J., 7 (82) (1957), 568–583, (Russian, English summary.) MR0111874 0090.30001 Google Scholar[4] R. V. Gamkrelidze, On the general theory of optimal processes, Dokl. Akad. Nauk SSSR, 123 (1958), 223–226, (English translation in Automation Express, 1 (1959), pp. 37–39.) MR0123072 0090.30702 Google Scholar[5] R. V. Gamkrelidze, Theory of processes in linear systems which are optimal with respect to rapidity of action, Izv. Akad. Nauk SSSR Ser. Mat., 22 (1958), 449–474, (English translation in Report No. 61-7, University of California, Department of Engineering, Los Angeles, California.) MR0097571 Google Scholar[6] N. N. Krasovskii˘, Concerning the theory of optimal control, Avtomat. i Telemeh, 18 (1957), 960–970, (English translation in Automation and Remote Control, 18 (1957), pp. 1005–1016.) MR0094284 Google Scholar[7] A. Ya. Lerner, On the limiting speed of response in automatic control systems, Avtomat. i Telemeh., 15 (1954), 461–477, (Russian.) Google Scholar[8] R. E. Bellman, , I. Glicksberg and , O. A. Gross, Some aspects of the mathematical theory of control processes, Rand Corporation, Santa Monica, Calif., Rep. No. R-313, 1958rm xix+244 MR0094281 0086.11703 Google Scholar[9] Emilio Roxin, The existence of optimal controls, Michigan Math. J., 9 (1962), 109–119 10.1307/mmj/1028998668 MR0136844 0105.07801 CrossrefGoogle Scholar[10] E. B. Lee and , L. Markus, Optimal control for nonlinear processes, Arch. Rational Mech. Anal., 8 (1961), 36–58 MR0128571 0099.08703 CrossrefISIGoogle Scholar[11] J. Warga, Relaxed variational problems, J. Math. Anal. Appl., 4 (1962), 111–128 10.1016/0022-247X(62)90033-1 MR0142020 0102.31801 CrossrefGoogle Scholar Previous article FiguresRelatedReferencesCited byDetails Fine Metrizable Convex Relaxations of Parabolic Optimal Control ProblemsTomáš Roubíček30 March 2021 | SIAM Journal on Control and Optimization, Vol. 59, No. 2AbstractPDF (520 KB)Continuity of Pontryagin Extremals with Respect to Delays in Nonlinear Optimal ControlRiccardo Bonalli, Bruno Hérissé, and Emmanuel Trélat18 April 2019 | SIAM Journal on Control and Optimization, Vol. 57, No. 2AbstractPDF (576 KB)Limit Theory for Controlled McKean--Vlasov DynamicsDaniel Lacker23 May 2017 | SIAM Journal on Control and Optimization, Vol. 55, No. 3AbstractPDF (465 KB)Necessary Optimality Conditions for Optimal Control Problems with Equilibrium ConstraintsLei Guo and Jane J. 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Published in: Journal of the Society for Industrial and Applied Mathematics Series A Control
Volume 1, Issue 1, pp. 76-84
DOI: 10.1137/0301006