On the Control of a Linear Functional-Differential Equation with Quadratic Cost

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Previous article Next article On the Control of a Linear Functional-Differential Equation with Quadratic CostHarold J. Kushner and Daniel I. BarneaHarold J. Kushner and Daniel I. Barneahttps://doi.org/10.1137/0308019PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] N. N. Krasovskii˘, On the analytic construction of an optimal control in a system with time lags, J. Appl. Math. Mech., 26 (1962), 50–67 MR0145171 0107.31603 CrossrefGoogle Scholar[2] N. N. Krasovskii, Optimal processes in systems with time lags, Proc. IFAC Congress, Pergamon Press, London, 1963 Google Scholar[3] D. Barnea, Masters Thesis, Control and stabilization of stochastic functional-differential equations, Doctoral thesis, Department of Engineering, Brown University, Providence, 1969 Google Scholar[4] A. Halanay, Differential equations: Stability, oscillations, time lags, Academic Press, New York, 1966xii+528 MR0216103 0144.08701 Google Scholar[5] M. Namı k Oğuztöreli, Time-lag control systems, Mathematics in Science and Engineering, Vol. 24, Academic Press, New York, 1966xii+323 MR0217394 0143.12101 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails A Stability Theory for the Linear-Quadratic-Gaussian Problem for Systems with Delays in the State, Control, and ObservationsSIAM Journal on Control and Optimization, Vol. 18, No. 1 | 18 July 2006AbstractPDF (2196 KB)Estimation and Filter Stability of Stochastic Delay SystemsSIAM Journal on Control and Optimization, Vol. 16, No. 4 | 18 July 2006AbstractPDF (1942 KB)Unconstrained Control Problems with Quadratic CostSIAM Journal on Control, Vol. 11, No. 1 | 18 July 2006AbstractPDF (1650 KB)Controllability, Observability and Optimal Feedback Control of Affine Hereditary Differential SystemsSIAM Journal on Control, Vol. 10, No. 2 | 18 July 2006AbstractPDF (2525 KB) Volume 8, Issue 2| 1970SIAM Journal on Control135-304 History Submitted:07 November 1968Published online:18 July 2006 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0308019Article page range:pp. 257-272ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics