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Transformations of the matrices of linear systems to their canonical form with desired eigenvalues

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Języki publikacji
EN
Abstrakty
EN
A new approach to the transformations of the matrices of linear continuous-time systems to their canonical forms with desired eigenvalues is proposed. Conditions for the existence of solutions to the problems were given and illustrated by simple numerical examples.
Rocznik
Strony
art. no. e147342
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
  • Bialystok University of Technology, Białystok, Poland
Bibliografia
  • [1] P.J. Antsaklis and A.N. Michel, Linear Systems, Birkhauser, Boston 1997.
  • [2] M.L.J. Hautus and M. Heymann, “Linear Feedback – An Algebraic Approach,” SIAM J. Control Optim., vol. 16, no. 1, pp. 83–105, 1978, doi: 10.1137/0316007.
  • [3] Gantmacher F.R., The Theory of Matrices. Chelsea Pub. Comp., London, 1959.
  • [4] T. Kaczorek, “Eigenvalues assignment in uncontrollable linear systems,” Bull. Pol. Acad. Sci. Tech. Sci., vol. 70, no. 6, p. e141987, 2022.
  • [5] T. Kaczorek, Linear Control Systems, vol. 1 and 2, Research Studies Press LTD, J. Wiley, New York 1992.
  • [6] T. Kaczorek and K. Borawski, Descriptor Systems of Integer and Fractional Orders, Springer, Switzerland, 2021.
  • [7] T. Kaczorek and K. Rogowski, Fractional Linear Systems and Electrical Circuits, Springer, Switzerland, 2015.
  • [8] T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, New York 1980.
  • [9] R.E. Kalman, “On the general theory of control systems,” Proceedings of the IFAC Congress Automatic Control, pp. 481–492, 1960.
  • [10] R.E. Kalman, “Mathematical description of linear dynamical systems,” SIAM J. Control A, vol. 1, pp. 152–192, 1963, doi: 10. 1137/0301010.
  • [11] J. Klamka, Controllability of Dynamical Systems, Kluwer Academic Publishers, Dordrecht 1991.
  • [12] J. Klamka, “Controllability and Minimum Energy Control,” Studies in Systems, Decision and Control. vol. 162, Springer Verlag 2018.
  • [13] W. Mitkowski, Outline of Control Theory, Publishing House AGH, Krakow, 2019.
  • [14] J.S. Respondek, “Matrix black box algorithms – a survey,” Bull. Pol. Acad. Sci. Tech. Sci., vol. 70, no. 2, p. e140535, 2022.
  • [15] Ł. Sajewski, “Decentralized Stabilization of Descriptor Fractional Positive Discrete-Time Linear Systems with Delays,” in Automation 2018, Advances in Intelligent Systems and Computing, vol 743, 2018, pp. 276–287, doi: 10.1007/978-3-319-77179-3_26.
  • [16] L. Sajewski, “Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller,” Bull. Pol. Acad. Sci. Tech. Sci., vol. 65, no. 5, pp. 709–714, 2017.
  • [17] S. Zak, Systems and Control, Oxford University Press, New York 2003.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e05771ef-a05c-4772-8ee1-cfaa8b071b1b
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