Matrix Quadratic Solutions

Previous article Next article Matrix Quadratic SolutionsJames E. PotterJames E. Potterhttps://doi.org/10.1137/0114044PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 William T. Reid, A matrix differential equation of Riccati type, Amer. J. Math., 68 (1946), 237–246 MR0015610 (7,446a) 0061.16910 CrossrefISIGoogle Scholar2 J. J. Levin, On the matrix Riccati equation, Proc. Amer. Math. Soc., 10 (1959), 519–524 MR0108628 (21:7344) 0092.07803 CrossrefGoogle Scholar3 R. L. Sternberg and , H. Kaufman, Applications of the theory of systems of differential equations to multiple non-uniform transmission lines, J. Math. Physics, 31 (1953), 244–252 MR0052322 (14,606b) 0051.07102 CrossrefISIGoogle Scholar4 R. E. Kalman and , R. S. Bucy, New results in linear filtering and prediction theory, Trans. ASME Ser. D. J. Basic Engrg., 83 (1961), 95–108 MR0234760 (38:3076) CrossrefGoogle Scholar5 R. E. Kalman, Contributions to the theory of optimal control, Proceedings of the Conference on Ordinary Differential Equations, Soc. Mat. Mexicana, Mexico City, 1959 0112.06303 Google Scholar6 N. Wiener, Extrapolation, Interpolation and Smoothing of Stationary Time Series, John Wiley, New York, 1949 0036.09705 Google Scholar7 F. R. Gantmacher, Applications of the theory of matrices, Translated by J. L. Brenner, with the assistance of D. W. Bushaw and S. Evanusa, Interscience Publishers, Inc., New York, 1959ix+317 MR0107648 (21:6372b) 0085.01001 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Unique non-negative definite solution of the time-varying algebraic Riccati equations with applications to stabilization of LTV systemsMathematics and Computers in Simulation, Vol. 202 | 1 Dec 2022 Cross Ref Reconstruction of cutting forces through fusion of accelerometer and spindle current signalsJournal of Manufacturing Processes, Vol. 68 | 1 Aug 2021 Cross Ref Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi–Mumford systemsDiscrete & Continuous Dynamical Systems, Vol. 41, No. 6 | 1 Jan 2021 Cross Ref Optimal control of nonlinear aeroelastic system with non‐semi‐simple eigenvalues at Hopf bifurcation pointsOptimal Control Applications and Methods, Vol. 41, No. 5 | 8 June 2020 Cross Ref Дискретные геодезические потоки на многообразиях ШтифеляТруды Математического института имени В.А. 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