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2006 | 16 | 2 | 169-174
Tytuł artykułu

Realization problem for positive multivariable discretetime linear systems with delays in the state vector and inputs

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The realization problem for positive multivariable discrete-time systems with delays in the state and inputs is formulated and solved. Conditions for its solvability and the existence of a minimal positive realization are established. A procedure for the computation of a positive realization of a proper rational matrix is presented and illustrated with examples.
Rocznik
Tom
16
Numer
2
Strony
169-174
Opis fizyczny
Daty
wydano
2006
otrzymano
2006-01-12
poprawiono
2006-02-25
Twórcy
  • Faculty of Electrical Engineering, Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok, Poland
Bibliografia
  • Benvenuti L. and Farina L. (2004): A tutorial on the positive realization problem. - IEEE Trans. Automat. Contr., Vol. 49, No. 5, pp. 651-664.
  • Busłowicz M. (1982): Explicit solution of discrete-delay equations. - Found. Contr. Eng., Vol. 7, No. 2, pp. 67-71.
  • Buslowicz M. and Kaczorek T. (2004): Reachability and minimum energy control of positive linear discrete-time systems with one delay. - Proc. 12th Mediterranean Conference Control and Automation, Kasadasi, Izmir, Turkey, (on CD-ROM).
  • Farina L. and Rinaldi S. (2000): Positive Linear Systems - Theory and Applications.- New York: Wiley.
  • Kaczorek T. (2002): Positive 1D and 2D Systems. - London: Springer.
  • Kaczorek T. (2003): Some recent developments in positive systems. - Proc. 7-th Conf.Dynamical Systems Theory and Applications, Łódź, Poland, pp. 25-35.
  • Kaczorek T. (2004): Realization problem for positive discrete-time systems with delay. - Syst. Sci., Vol. 30, No. 4, pp. 117-130.
  • Kaczorek T. (2005): Realization problem for positive continuous-time systems with delays. - Proc. Int. Conf.Systems Engineering, Las Vegas, USA, (on CD-ROM).
  • Kaczorek T. and Busłowicz M. (2004): Minimal realization for positive multivariable linear systems with delay. - Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 2, pp. 181-187.
  • Klamka J. (1991): Controllability of Dynamical Systems. - Dordrecht: Kluwer.
  • Xie G. and Wang L. (2003): Reachability and controllability of positive linear discrete-time systems with time-delays, In: Positive Systems (L. Benvenuti, A. De Santis and L. Farina, Eds.). - Berlin: Springer, pp. 377-384.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv16i2p169bwm
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