An Optimal Regulator Problem

Previous article Next article An Optimal Regulator ProblemAlbert ChangAlbert Changhttps://doi.org/10.1137/0302020PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] J. P. Lasalle, The time-optimal control problemContributions to the theory of nonlinear oscillations, Vol. V, Princeton Univ. Press, Princeton, N.J., 1960, 1–24 MR0145169 0095.29503 Google Scholar[2] L. A. Zadeh and , C. A. Desoer, Linear System Theory:The State Space Approach, McGraw-Hill, New York, 1963, Chap. 11 Google Scholar[3] A. M. Letov, Analytic controller design, Automat. Remote Control, 21 (1960), 389–393 0182.48204 Google Scholar[4] A. M. Letov, The analytical design of control systems, Automat. Remote Control, 22 (1961), 363–372 MR0143675 0103.07303 Google Scholar[5] N. N. Krasovski and , A. M. Letov, The theory of analytic design of controllers, Automat. Remote Control, 23 (1962), 649–656 MR0187978 Google Scholar[6] C. D. Johnson and , W. M. Wonham, On a problem of Letov in optimal control Proceedings, Joint Automatic Control Conference, Stanford, California, 1964, 317–328 Google 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] 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 MR0097571 Google Scholar[9] L. I. Rozonoèr, L. S. Pontryagin maximum principle in the theory of optimum systems. I, Automat. Remote Control, 20 (1959), 1288–1302 MR0120439 Google Scholar[10] R. E. Kalman, Contributions to the theory of optimal control, Bol. Soc. Mat. Mexicana (2), 5 (1960), 102–119 MR0127472 0112.06303 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Some Existence Theorems for Linear Optimal Control ProblemsMarc Q. Jacobs18 July 2006 | SIAM Journal on Control, Vol. 5, No. 3AbstractPDF (1676 KB)The Existence of Optimal Controls for a Performance Index with a Positive IntegrandM. Anvari and R. F. Datko18 July 2006 | SIAM Journal on Control, Vol. 4, No. 2AbstractPDF (778 KB)On a Solution of an Optimization Problem in Linear Systems with Quadratic Performance IndexYoshiyuki Sakawa18 July 2006 | SIAM Journal on Control, Vol. 4, No. 2AbstractPDF (912 KB) Volume 2, Issue 2| 1964Journal of the Society for Industrial and Applied Mathematics Series A Control History Submitted:24 July 1964Published online:18 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0302020Article page range:pp. 220-233ISSN (print):0887-4603ISSN (online):2168-359XPublisher:Society for Industrial and Applied Mathematics