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2007 | 17 | 2 | 165-171
Tytuł artykułu

Positive partial realization problem for linear discrete-time systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.
Rocznik
Tom
17
Numer
2
Strony
165-171
Opis fizyczny
Daty
wydano
2007
poprawiono
2006-05-10
(nieznana)
2006-12-15
otrzymano
2007-03-02
Twórcy
  • Faculty of Electrical Engineering, Białystok Technical University, 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.
  • Farina L. and Rinaldi S. (2000): Positive Linear Systems: Theory and Applications.- Wiley, New York.
  • Ho B.L. and Kalman R.E. (1966): Effective construction of linear state-variable models from input/output functions. - Regelungstechnik, Bd.12, pp.545-548.
  • Kaczorek T. (1992): Linear Control Systems, Vol.1. - Taunton: Research Studies Press.
  • Kaczorek T. (2002): Positive 1D and 2D Systems. - London: Springer.
  • Kaczorek T. (2004): Realization problem for positive discrete-time systems with delay. - System Sci., Vol.30, No.4, pp.17-30.
  • Kaczorek T. (2005): Positive minimal realizations for singular discrete-time systems with delays in state and control. - Bull. Pol. Acad. Sci. Techn. Sci., Vol.53,No.3, pp.293-298.
  • Kaczorek T. (2006a): Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs. - Int. J. Appl. Math. Comput. Sci., Vol.16, No.2, pp.169-174.
  • Kaczorek T. (2006b) A realization problem for positive continuous-time linear systems with reduced number of delay. - Int. J. Appl. Math. Comput. Sci., Vol.16, No.3, pp.325-331.
  • Kaczorek T. (2006c): Computation of realizations of discrete-timecone-systems. - Bull. Polish Acad. Sci. Techn. Sci., Vol.54, No.3, pp.347-350.
  • Kaczorek T. (2006d): A realization problem for positive continuous-time systems with reduced numbers of delays.- Int. J. Appl. Math. Comput. Sci., Vol.16, No.3, pp.101-107.
  • KaczorekT. (2006e): Minimal positive realization for discrete-time systems with state time-delays. - Int. J. Comput. Math. Electr. Eng. COMPEL, Vol.25, No.4, pp.812-826.
  • Kaczorek T. and Buslowicz M. (2004): Minimal realization problem for positive multivariable linear systems with delay. - Int. J. Appl. Math. Comput. Sci.,Vol.14, No.2, pp.181-187.
  • Merzyakov J.I. (1963): On the existence of positive solutions of a system of linear equations. - Uspekhi Matematicheskikh Nauk, Vol.18, No.3, pp.179-186 (in Russian)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv17i2p165bwm
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