An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures

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Previous article Next article An Extended Pontryagin Principle for Control Systems whose Control Laws Contain MeasuresRaymond W. RishelRaymond W. Rishelhttps://doi.org/10.1137/0303016PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. B. Barrar, An analytic proof that Hohman-type transfer is the true minimum two impulse transfer, Astronaut. Acta, 9 (1963), 1–11 Google Scholar[2] H. O. Ladd, Jr. and , B. Friedland, Minimum fuel control of a second order linear process with a constraint on time to run, Trans. ACME Ser. D., 86 (1964), 160–168 CrossrefGoogle Scholar[3] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950xi+304 MR0033869 0040.16802 CrossrefGoogle Scholar[4] D. F. Lawden, Optimal trajectories for space navigation, Butterworths, London, 1963viii+126 MR0199011 0111.19605 Google Scholar[5] E. B. Lee, A sufficient condition in the theory of optimal control, J. Soc. Indust. Appl. Math. Ser. A Control, 1 (1963), 241–245 MR0175693 0151.13105 LinkGoogle Scholar[6] Lucien W. Neustadt, Optimization, a moment problem, and nonlinear programming, J. Soc. Indust. Appl. Math. Ser. A Control, 2 (1964), 33–53 MR0174423 0133.36701 LinkGoogle Scholar[7] L. S. Pontryagin, , V. G. Boltyanskii, , R. V. Gamkrelidze and , E. F. Mishchenko, The mathematical theory of optimal processes, Translated from the Russian by K. N. Trirogoff; edited by L. W. Neustadt, Interscience Publishers John Wiley & Sons, Inc. New York-London, 1962viii+360 MR0166037 0102.32001 Google Scholar[8] W. W. Schmaedeke, Optimal control theory for nonlinear vector differential equations with measure coefficients, Report, U-RD 63 18, Minneapolis-Honeywell, 1963 Google Scholar[9] L. Ting, Optimal orbital transfer by several impulses, Astronaut. 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Warga18 July 2006 | Journal of the Society for Industrial and Applied Mathematics Series A Control, Vol. 3, No. 3AbstractPDF (1122 KB) Volume 3, Issue 2| 1965Journal of the Society for Industrial and Applied Mathematics Series A Control History Submitted:05 October 1964Accepted:21 December 1964Published online:18 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0303016Article page range:pp. 191-205ISSN (print):0887-4603ISSN (online):2168-359XPublisher:Society for Industrial and Applied Mathematics