Variational Problems with Unbounded Controls

Previous article Next article Variational Problems with Unbounded ControlsJ. WargaJ. Wargahttps://doi.org/10.1137/0303028PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. F. Filippov, On certain questions in the theory of optimal control, J. SIAM Control Ser. A, 1 (1962), 76–84 10.1137/0301006 MR0149985 0139.05102 LinkGoogle Scholar[2] R. V. Gamkrelidze, On sliding optimal states, Dokl. Akad. Nauk SSSR, 143 (1962), 1243–1245 MR0137904 0131.32402 Google Scholar[3] E. J. McShane, Generalized curves, Duke Math. J., 6 (1940), 513–536 10.1215/S0012-7094-40-00642-1 MR0002469 0023.39801 CrossrefGoogle Scholar[4] E. J. McShane, Necessary conditions in generalized-curve problems of the calculus of variations, Duke Math. J., 7 (1940), 1–27 10.1215/S0012-7094-40-00701-3 MR0003478 0024.32503 CrossrefGoogle Scholar[5] E. J. McShane, Existence theorems for Bolza problems in the calculus of variations, Duke Math. 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Young, Necessary conditions in the calculus of variations, Acta Math., 69 (1938), 239–258 0019.26702 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Nondegenerate Abnormality, Controllability, and Gap Phenomena in Optimal Control with State ConstraintsGiovanni Fusco and Monica Motta25 January 2022 | SIAM Journal on Control and Optimization, Vol. 60, No. 1AbstractPDF (673 KB)Optimal Control of Nonlinear Hybrid Systems Driven by Signed Measures with Variable Intensities and SupportsN. U. Ahmed and Shian Wang4 November 2021 | SIAM Journal on Control and Optimization, Vol. 59, No. 6AbstractPDF (726 KB)Generalized Solutions in Nonlinear Stochastic Control ProblemsF. Dufour and Boris M. Miller26 July 2006 | SIAM Journal on Control and Optimization, Vol. 40, No. 6AbstractPDF (219 KB)The Generalized Solutions of Nonlinear Optimization Problems with Impulse ControlBoris M. 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