Optimal Regulation of Nonlinear Dynamical Systems 论文

详细信息

发表期刊/会议

SIAM Journal on Control

发表日期

1969-02-01

发表年份

1969

摘要

Previous article Next article Optimal Regulation of Nonlinear Dynamical SystemsD. L. LukesD. L. Lukeshttps://doi.org/10.1137/0307007PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] È. G. Al'breht, On the optimal stabilization of nonlinear systems, J. Appl. Math. Mech., 25 (1961), 1254–1266 10.1016/0021-8928(61)90005-3 MR0133561 0108.10503 CrossrefGoogle Scholar[2] È. G. Al'brekht, Optimal stabilization of nonlinear systems, Mathematical Notes, vol. 4, no. 2, The Ural Mathematical Society, The Ural State University of A. M. Gor'kii, Sverdlovsk, 1963, In Russian. Google Scholar[3] P. Brunovsky, A. V. Balakrishnan and , Lucien W. Neustadt, On optimal stabilization of nonlinear systemsMathematical Theory of Control, Academic Press, New York and London, 1967 0266.49030 Google Scholar[4] Earl A. Coddington and , Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955xii+429 MR0069338 0064.33002 Google Scholar[5] R. E. Kalman, Contributions to the theory of optimal control, Bol. Soc. Mat. Mexicana (2), 5 (1960), 102–119 MR0127472 0112.06303 Google Scholar[6] R. E. Kalman, R. Bellman, The theory of optimal control and the calculus of variationsMathematical optimization techniques, Univ. California Press, Berkeley, Calif., 1963, 309–331 MR0162680 0123.08202 Google Scholar[7] E. B. Lee and , L. Markus, Foundations of optimal control theory, John Wiley & Sons Inc., New York, 1967x+576 MR0220537 0159.13201 Google Scholar[8] Dahlard L. Lukes, Stabilizability and optimal control, Funkcial. Ekvac., 11 (1968), 39–50 MR0238589 0172.13101 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Adaptive Deep Learning for High-Dimensional Hamilton--Jacobi--Bellman EquationsTenavi Nakamura-Zimmerer, Qi Gong, and Wei Kang7 April 2021 | SIAM Journal on Scientific Computing, Vol. 43, No. 2AbstractPDF (856 KB)Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert SpacesEmmanuel Trélat, Can Zhang, and Enrique Zuazua29 March 2018 | SIAM Journal on Control and Optimization, Vol. 56, No. 2AbstractPDF (795 KB)Infinite-Horizon Bilinear Optimal Control Problems: Sensitivity Analysis and Polynomial Feedback LawsTobias Breiten, Karl Kunisch, and Laurent Pfeiffer13 September 2018 | SIAM Journal on Control and Optimization, Vol. 56, No. 5AbstractPDF (538 KB)Analysis of the Hamilton--Jacobi Equation in Nonlinear Control Theory by Symplectic Geometry26 July 2006 | SIAM Journal on Control and Optimization, Vol. 40, No. 6AbstractPDF (169 KB)Asymptotic Properties of Receding Horizon Optimal Control Problems26 July 2006 | SIAM Journal on Control and Optimization, Vol. 40, No. 5AbstractPDF (244 KB)The Local Solvability of a Hamilton--Jacobi--Bellman PDE around a Nonhyperbolic Critical Point26 July 2006 | SIAM Journal on Control and Optimization, Vol. 39, No. 5AbstractPDF (215 KB)Near–Optimal Feedback Stabilization of a Class of Nonlinear Singularly Perturbed Systems18 July 2006 | SIAM Journal on Control and Optimization, Vol. 16, No. 5AbstractPDF (1489 KB)Optimal Regulation of Nonlinear Dynamical Systems on a Finite Interval18 July 2006 | SIAM Journal on Control and Optimization, Vol. 15, No. 6AbstractPDF (1381 KB)Equilibrium Feedback Control in Linear Games with Quadratic Costs18 July 2006 | SIAM Journal on Control, Vol. 9, No. 2AbstractPDF (1444 KB) Volume 7, Issue 1| 1969SIAM Journal on Control History Submitted:03 April 1968Published online:18 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0307007Article page range:pp. 75-100ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics