Equivalent Realizations of Linear Systems

Leonard M. Silverman, H. E. Meadows · SIAM Journal on Applied Mathematics · 1969

Previous article Next article Equivalent Realizations of Linear SystemsL. M. Silverman and H. E. MeadowsL. M. Silverman and H. E. Meadowshttps://doi.org/10.1137/0117037PDFBibTexSections 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] R. E. Kalman, Canonical structure of linear dynamical systems, Proc. Nat. Acad. Sci. U.S.A., 48 (1962), 596–600 MR0138865 0249.34005 CrossrefISIGoogle Scholar[3] R. E. Kalman, Irreducible realizations and the degree of a rational matrix, J. Soc. Indust. Appl. Math., 13 (1965), 520–544 10.1137/0113034 MR0182479 0161.06704 LinkISIGoogle Scholar[4] Leonard Weiss and , R. E. Kalman, Contributions to linear system theory, Internat. J. Engrg. Sci., 3 (1965), 141–171 10.1016/0020-7225(65)90042-X MR0183559 0136.08702 CrossrefGoogle Scholar[5] D. C. 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Control, 6 (1968), 121–130 10.1137/0306010 MR0233051 0157.15803 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Appendix: Control and System Theory of Deterministic Systems3 August 2021 Cross Ref State and Loop Equivalence for Linear Parameter Varying Systems16 March 2019 Cross Ref Sliding Mode Tangent Space Observer for LTV Systems with Unknown Inputs Cross Ref Robust State Estimation for Linear Time Varying Lateral Vehicle Dynamics with Unknown Road Curvature Cross Ref State and Loop Equivalence for Linear Parameter Varying Systems Cross Ref Transformations for linear parameter varying systemsIFAC-PapersOnLine, Vol. 51, No. 26 Cross Ref Transition rule of differentially controllable subspace for linear periodic systems Cross Ref Differentially Controllable Subspace for Linear Periodic SystemsIFAC-PapersOnLine, Vol. 49, No. 14 Cross Ref Interpolated Modeling of LPV SystemsIEEE Transactions on Control Systems Technology, Vol. 22, No. 6 Cross Ref Kalman Canonical Decomposition of Linear Time-Varying SystemsIchiro Jikuya and Ichijo Hodaka28 January 2014 | SIAM Journal on Control and Optimization, Vol. 52, No. 1AbstractPDF (393 KB)Theoretical and numerical issues concerning temporal stabilisability and detectabilityIFAC Proceedings Volumes, Vol. 47, No. 1 Cross Ref Temporal and one‐step stabilisability and detectability of discrete‐time linear systems1 January 2013 | IET Control Theory & Applications, Vol. 7, No. 1 Cross Ref Temporal and differential stabilizability and detectability of piecewise constant rank systems13 April 2011 | Optimal Control Applications and Methods, Vol. 33, No. 3 Cross Ref Temporal Linear System StructureIEEE Transactions on Automatic Control, Vol. 53, No. 5 Cross Ref State feedback uniform decoupling problem of linear time-varying analytic systemsJournal of the Franklin Institute, Vol. 330, No. 6 Cross Ref New results in realization theory for linear time-varying analytic systemsIEEE Transactions on Automatic Control, Vol. 24, No. 6 Cross Ref Multivariable System Identification - A SurveyIFAC Proceedings Volumes, Vol. 12, No. 8 Cross Ref Nonstationary network synthesis via state-space techniquesIEEE Transactions on Circuits and Systems, Vol. 22, No. 9 Cross Ref Controllability, Realization and Stability of Discrete-Time SystemsLeonard Weiss18 July 2006 | SIAM Journal on Control, Vol. 10, No. 2AbstractPDF (1937 KB)On Dynamical Systems Realizing Stationary Weighting Patterns and Time-Varying Feedback SystemsR. 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