Controllability, Observability and Stability of Linear Systems

Previous article Next article Controllability, Observability and Stability of Linear SystemsL. M. Silverman and B. D. O. AndersonL. M. Silverman and B. D. O. Andersonhttps://doi.org/10.1137/0306010PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] L. A. Zadeh and , C. A. Desoer, Linear System Theory, McGraw-Hill, New York, 1963 Google Scholar[2] Nam P. Bhatia, On exponential stability of linear differential systems, J. Soc. Indust. Appl. Math. Ser. A Control, 2 (1964), 181–191 MR0182774 0151.11902 LinkGoogle Scholar[3] R. E. Kalman, Mathematical description of linear dynamical systems, J. SIAM Control Ser. A, 1 (1963), 152–192 (1963) MR0152167 0145.34301 Google Scholar[4] R. E. Kalman and , J. E. Bertram, Control system analysis and design via the “second method” of Lyapunov. I. Continuous-time systems, Trans. ASME Ser. D. J. Basic Engrg., 82 (1960), 371–393 MR0157810 CrossrefGoogle Scholar[5] D. C. 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Silverman, Stable realization of impulse response matrices, IEEE International Convention Record, 15 (1967), 32–36 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A Harmonic Framework for Controllability in Linear Continuous‐Time Periodic Systems7 May 2007 | SIAM Journal on Control and Optimization, Vol. 46, No. 2AbstractPDF (266 KB)Internal and External Stability of Linear Time-Varying Systems17 February 2012 | SIAM Journal on Control and Optimization, Vol. 20, No. 3AbstractPDF (576 KB)On the Input-Output Stability of Linear Time-Varying Systems12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 38, No. 1AbstractPDF (1201 KB)A Multi-Time Scale Method in Almost-Periodic Stability Problems17 February 2012 | SIAM Journal on Mathematical Analysis, Vol. 9, No. 6AbstractPDF (1630 KB)Estimation and Feedback in Linear Time-Varying Systems: A Deterministic Theory18 July 2006 | SIAM Journal on Control, Vol. 13, No. 2AbstractPDF (1971 KB)State in Hilbert Space2 August 2006 | SIAM Review, Vol. 15, No. 2AbstractPDF (2221 KB)Stabilization of Linear Systems18 July 2006 | SIAM Journal on Control, Vol. 10, No. 4AbstractPDF (1124 KB)Some Sufficient Conditions for the Global and Local Controllability of Nonlinear Time-Varying Systems18 July 2006 | SIAM Journal on Control, Vol. 8, No. 4AbstractPDF (725 KB)New Results in Linear System Stability18 July 2006 | SIAM Journal on Control, Vol. 7, No. 3AbstractPDF (1356 KB)Equivalent Realizations of Linear Systems12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 17, No. 2AbstractPDF (1627 KB) Volume 6, Issue 1| 1968SIAM Journal on Control History Submitted:18 May 1967Published online:18 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0306010Article page range:pp. 121-130ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics