Matrix Quadratic Solutions

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Previous article Next article Matrix Quadratic SolutionsJames E. PotterJames E. Potterhttps://doi.org/10.1137/0114044PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] William T. Reid, A matrix differential equation of Riccati type, Amer. J. Math., 68 (1946), 237–246 MR0015610 (7,446a) 0061.16910 CrossrefISIGoogle Scholar[2] J. J. Levin, On the matrix Riccati equation, Proc. Amer. Math. Soc., 10 (1959), 519–524 MR0108628 (21:7344) 0092.07803 CrossrefGoogle Scholar[3] 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 Scholar[4] 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 Scholar[5] 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 Scholar[6] N. Wiener, Extrapolation, Interpolation and Smoothing of Stationary Time Series, John Wiley, New York, 1949 0036.09705 Google Scholar[7] 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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