Mathematical description of linear dynamical systems

Keywords

Observability, Controllability, Observable, Impulse response, Realization (probability)

References

• Theorie und Anwendung der direkten Methode von LjapunovWolfgang Hahn — 1959
• Qualitative theory of differential equationsViktor Vladimirovich Nemytskii — 1960
• Random Processes in Automatic ControlJ.H. Westcott — 1957
• Feedback Theory-Some Properties of Signal Flow GraphsSamuel J. Mason — 1953
• On the general theory of control systemsR. E. Kalman — 1959
• CANONICAL STRUCTURE OF LINEAR DYNAMICAL SYSTEMS.R. E. Kalman — 1962
• A general theory of linear signal transmission systemsLotfi A. Zadeh — 1952
• Stability of nonlinear control systemsS. Lefschetz — 1966
• LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROL.R. E. Kalman — 1963
• Analysis and design principles of second and higher order saturating servomechanismsR. E. Kalman — 1955
• The pulse transfer function and its application to sampling servo systemsR.H. Barker — 1952
• Continuous matrices and the stability of differential systemsLawrence Markus — 1955
• W. Hahn, Theorie und Anwendung der direkten Methode von Ljapunov (Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Heft 22). VIII + 142 S. Berlin/Göttingen/Heidelberg 1959. Springer-Verlag. Preis geh. 28,— DMR. Reissig — 1960
• On the Stability of Time-Varying Linear SystemsR. E. Kalman — 1962
• Controllability of linear dynamical systemsR. E. Kalman — 1963
• Sampled-Data Control SystemsW. L. M., L. N. B., John R. Ragazzini — 1959
• Stability by Liapunov's Direct Method with Applications1961
• Random Processes in Automatic Control.Emanuel Parzen, W. A. W., J. H. Laning — 1957
• On the general theory of control systemsR. E. Kalman — 1960
• Sampled-data control systemsLotfi Zadeh, John Bertram, George Kranec — 1959

Cited by

• Mathematical Systems Theory ID. Hinrichsen, A. J. Pritchard — 2006
• DESIGN OF NONLINEAR CONTROL SYSTEMS VIA STATE VARIABLE FEEDBACKJ. W. Herring — 1967
• Distributed and decentralized state estimation in gas networks as distributed parameter systems.H. Cruz Hipólito, Rafael de Prado Amián, M.J. Martínez Cordón — 2015
• An M-estimator for reduced-rank system identificationLeslie Robinson, Catherine Hill, Kayleigh Elizabeth Burke — 2016
• Neurofeedback: Principles, appraisal, and outstanding issuesВладимир Иванович Голованов — 2018
• Centrifugal compressor surge : modeling and identification for controlvan J Jan Helvoirt — 2007
• Stabilization of decentralized control systemsZhiming Gong, M. Aldeen — 1997
• Effective computation of cryptanalytic measures for stream cipher data by the Rissanen algorithmusFranz Pichler — 2007
• Two-dimensional linear discrete systems: a polynomial fractional approachAndrzej J Gapinski — 1988
• Multidimensional Linear Systems and Robust ControlTanit Malakorn — 2003
• An Algebraic Definition of Time-Varying Transfer MatricesMichel Fliesś — 1992
• Modélisation réduite et commande d'éléments du système de dépollution d'un groupe motopropulseur en vue des normes Euro 6 et Euro 7David Marie-Luce — 2013
• Observateurs et commande basée observateur pour les systèmes bilinéairesBenjamin Gérard — 2008
• Vision System-based Multi-rate State Estimation and Control for Electric VehiclesYafei Wang — 2013
• COMPOSANTS LOGICIELS POUR LE DIMENSIONNEMENT EN GENIE ELECTRIQUE. APPLICATION A LA RESOLUTION D'EQUATIONS DIFFERENTIELLES.V. Fischer — 2004
• Local and Minimal Realization of Nonlinear Dynamical Systems and Lyndon WordsG. Jacob, Nour Eddine Oussous — 1989
• Robust Control Methods with Applications to Steer-by-Wire SystemsNaim Bajçinca — 2006
• Adaptive observer and identifier design for multi-input multi-output systems*P.N. Nikiforuk, H. Ohta, Μ.Μ. Gupta — 1977
• Estimation d'un procédé de cristallisation en batchToufik Bakir — 2006
• A geometric approach to modeling and estimation of linear stochastic systemsGiorgio Picci — 2001

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