PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

A controllability problem for a class of uncertain - parameters linear dynamic systems

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the paper a controllability problem for the class of time invariant linear dynamic SISO systems with uncertain parameters is discussed. The system under consideration is described by a finite dimensional state - space equation with the interval diagonal state matrix, the known control and output matrices and the two - dimensional uncertain parameters space. For the considered system a simple geometric interpretation of the system spectrum can be given. The geometric interpretation of the system spectrum is the basis to formulating the controllability conditions for the discussed system. The examples are given.
Rocznik
Strony
85--100
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
Bibliografia
  • [1] S. Barnett: Matrices. Methods and applications. Claredon Press Oxford 1992,
  • [2] S. Bialas: The robust stability of the polynomials and matrices. Ed. UMM, Krakow, 2002, (in Polish).
  • [3] M. Buslowicz: Stability of linear time invariant systems with uncertain parameters. Bialystok, 1997, (in Polish).
  • [4] M. Buslowicz: The robust stability of the dynamic linear time invariant systems with delays. Eds Comitee for Automatics and Robotics of Polish Academy of Sciences, Warsaw-Bialystok, 2000 (in Polish).
  • [5] A. Feintuch: Robust Control Theory in Hilbert Space, Springer 1998.
  • [6] M. Jakubowska: Algorithms for checking stability of the interval matrix and their numerical realization. Automatyka, 3(2), (1999), 413-430, (in Polish).
  • [7] S. A. Kalmikov, J. I. Sokin and Z. H. Juldasev: Metody intervalnogo analiza. Nauka, Moscow, 1986, (in Russian).
  • [8] W. L. Kharitonov: Ob assimptoticeskoj ustojcivosti polozenija ravnovesija semejstva sistem liniejnych differencialnych uravnenij. Diff. Uravnienija, 14(11), (1978), 2086-2088 (in Russian).
  • [9] J. Klamka: The contollability of dynamic systems. PWN, Warsaw, 1990, (in Polish).
  • [10] X. Mao: Exponential Stability of Stochastic Delay Interval Systems With Markovian Switching. IEEE Trans. Aut. Cont., 47(10), (2002), 1064-1612.
  • [11] W. Mitkowski: Stabilization of the dynamic systems. PWN, Warsaw, 1991, (in Polish).
  • [12] R. Moore: Interval Analysis. Prentice Hall, 1966.
  • [13] R. Moore: Methods and Applications of Interval Analysis. SIAM, Philadelphia, (1979).
  • [14] K. Oprzedkiewicz: The interval parabolic system. Archives of Control Sciences, 13(4), (2003), 415-430.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0009-0007
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.