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## International Journal of Applied Mathematics and Computer Science

2006 | 16 | 3 | 325-331
Tytuł artykułu

### A realization problem for positive continuoustime systems with reduced numbers of delays

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A realization problem for positive, continuous-time linear systems with reduced numbers of delays in state and in control is formulated and solved. Sufficient conditions for the existence of positive realizations with reduced numbers of delays of a given proper transfer function are established. A procedure for the computation of positive realizations with reduced numbers of delays is presented and illustrated by an example.
Słowa kluczowe
EN
Rocznik
Tom
Numer
Strony
325-331
Opis fizyczny
Daty
wydano
2006
otrzymano
2006-03-14
poprawiono
2006-07-12
Twórcy
autor
• Białystok Technical University, Faculty of Electrical Engineering, 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.
• Buslowicz 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. 12-th Mediterranean Conf. Control and Automation, Kasadasi, Izmir, Turkey, (on CD-ROM).
• Farina L. and Rinaldi S. (2000): Positive Linear Systems. Theory and Applications.- New York: Wiley.
• Galkowski K. (2001): State-Space Realizations of Linear 2D Systems with Extension to the General $nD$ (n>2) Case. - Berlin: Springer.
• 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, Lodz, 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. (2005a): Realization problem for positive continuous-timesystems with delays. - Int. J. Comput. Intelligence and Appl., June 5, pp. 1-10.
• Kaczorek T. (2005b): Realization problem for positive multivariable continuous-time systems with delays. - IEEE Trans. Automat. Contr., (submitted).
• Kaczorek T. and Buslowicz M. (2004): Minimal realization for positive multivariable linear systems with delay. - Int. J. Appl. Math. Comput. Sci., Vol. 14,No. 2, pp. 181-187.
• Kaczorek T. and Buslowicz M. (2006): Reachability and minimum energy control of positive discrete-time linear systems with multiple delay in state and control. - Pomiary, Automatyka, Kontrola, PAK 78, pp. 31-33.
• Xie G. and Wang L. (2003): Reachability and controllability of positive linear discrete-time systems with time-delays, In: Positive Systems, (Benvenuti L., De Santis A. and Farina L., Eds.). - LNCIS 294, Berlin: Springer-Verlag,pp. 377-384.
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Bibliografia
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