Controllability and Observability in Time-Variable Linear Systems

Abstract

Previous article Next article Controllability and Observability in Time-Variable Linear SystemsL. M. Silverman and H. E. MeadowsL. M. Silverman and H. E. Meadowshttps://doi.org/10.1137/0305005PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. E. Kalman, Mathematical description of linear dynamical systems, J. SIAM Control Ser. A, 1 (1963), 152–192 (1963) MR0152167 0145.34301 Google Scholar[2] Leonard Weiss, The concepts of differential controllability and differential observability, J. Math. Anal. Appl., 10 (1965), 442–449 10.1016/0022-247X(65)90139-3 MR0201209 0132.07202 CrossrefISIGoogle Scholar[3] E. Kreindler and , P. E. Sarachik, On the concepts of controllability and observability of linear systems, IEEE Trans. Automatic Control, AC-9 (1964), 129–136 10.1109/TAC.1964.1105665 MR0189852 CrossrefISIGoogle 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] L. M. Silverman, Representation and realization of time-variable linear systems, Tech. Rept., 94, Department of Electrical Engineering, Columbia University, New York, 1966 Google Scholar[6] Witold Hurewicz, Lectures on ordinary differential equations, The Technology Press of the Massachusetts Institute of Technology, Cambridge, Mass., 1958xvii+122 MR0090703 0082.29702 CrossrefGoogle Scholar[7] L. M. Silverman and , H. E. Meadows, Controllability and time-variable unilateral networks, IEEE Trans. Circuit Theory, CT-12 (1965), 308–314 MR0246709 CrossrefGoogle Scholar[8] A. R. Stubberud, A controllability criterion for a class of linear systems, IEEE Trans. Applications and Industry, 68 (1964), 411–413 CrossrefGoogle Scholar[9] A. Chang, An algebraic characterization of controllability, IEEE Trans. Automatic Control, AC-10 (1965), 112–113 10.1109/TAC.1965.1098056 CrossrefISIGoogle Scholar[10] L. M. Silverman and , H. E. Meadows, Degrees of controllability in time-variable linear systems, Proceedings of the National Electronics Conference, Vol. 21, 1965, 689–693 Google Scholar[11] L. M. Silverman, Transformation of time-variable systems to canonical (phasevariable) form, IEEE Trans. Automatic Control, AC-11 (1966), 300–303 10.1109/TAC.1966.1098312 CrossrefISIGoogle Scholar[12] L. A. Zadeh and , C. A. Desoer, Linear System Theory, McGraw-Hill, New York, 1963 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Observability of Linear Time-Varying Systems with Quasiderivative CoefficientsAnatoly I. Astrovskii and Ivan V. Gaishun21 May 2019 | SIAM Journal on Control and Optimization, Vol. 57, No. 3AbstractPDF (511 KB)Internal Controllability of First Order Quasi-linear Hyperbolic Systems with a Reduced Number of ControlsFatiha Alabau-Boussouira, Jean-Michel Coron, and Guillaume Olive8 February 2017 | SIAM Journal on Control and Optimization, Vol. 55, No. 1AbstractPDF (510 KB)A Harmonic Framework for Controllability in Linear Continuous‐Time Periodic SystemsJun Zhou7 May 2007 | SIAM Journal on Control and Optimization, Vol. 46, No. 2AbstractPDF (266 KB)On the Stabilization in Finite Time of Locally Controllable Systems by Means of Continuous Time-Varying Feedback LawJean-Michel Coron14 July 2006 | SIAM Journal on Control and Optimization, Vol. 33, No. 3AbstractPDF (3202 KB)The Output-Nulling Space, Projected Dynamics, and System Decomposition for Linear Time-Varying Singular SystemsWilliam J. Terrell14 July 2006 | SIAM Journal on Control and Optimization, Vol. 32, No. 3AbstractPDF (1455 KB)Observability of Linear Time-Varying Descriptor SystemsStephen L. Campbell and William J. Terrell17 July 2006 | SIAM Journal on Matrix Analysis and Applications, Vol. 12, No. 3AbstractPDF (1237 KB)Periodic Systems: Controllability and the Matrix Riccati EquationS. Bittanti, G. Guardabassi, C. Maffezzoni, and L. Silverman18 July 2006 | SIAM Journal on Control and Optimization, Vol. 16, No. 1AbstractPDF (297 KB)Periodicity, Detectability and the Matrix Riccati EquationG. A. Hewer18 July 2006 | SIAM Journal on Control, Vol. 13, No. 6AbstractPDF (1797 KB)Controllability and Observability in Banach Space with Bounded OperatorsRoberto Triggiani18 July 2006 | SIAM Journal on Control, Vol. 13, No. 2AbstractPDF (3217 KB)Structure of Index-Invariant SystemsA. S. Morse and L. M. Silverman18 July 2006 | SIAM Journal on Control, Vol. 11, No. 2AbstractPDF (1069 KB)Controllability, Observability and Optimal Feedback Control of Affine Hereditary Differential SystemsM. C. Delfour and S. K. Mitter18 July 2006 | SIAM Journal on Control, Vol. 10, No. 2AbstractPDF (2525 KB)On Dynamical Systems Realizing Stationary Weighting Patterns and Time-Varying Feedback SystemsR. A. Skoog18 July 2006 | SIAM Journal on Control, Vol. 10, No. 1AbstractPDF (658 KB)Perturbations of Linear Control SystemsJerald P. Dauer18 July 2006 | SIAM Journal on Control, Vol. 9, No. 3AbstractPDF (593 KB)Some Sufficient Conditions for the Global and Local Controllability of Nonlinear Time-Varying SystemsE. J. Davison and E. G. Kunze18 July 2006 | SIAM Journal on Control, Vol. 8, No. 4AbstractPDF (725 KB)Equivalent Realizations of Linear SystemsL. M. Silverman and H. E. Meadows12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 17, No. 2AbstractPDF (1627 KB)Controllability, Observability and Stability of Linear SystemsL. M. Silverman and B. D. O. Anderson18 July 2006 | SIAM Journal on Control, Vol. 6, No. 1AbstractPDF (969 KB) Volume 5, Issue 1| 1967SIAM Journal on Control History Submitted:31 August 1966Published online:18 July 2006 InformationCopyright © 1967 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0305005Article page range:pp. 64-73ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics