Output-reachability of positive linear discrete-time systems with delays

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The notion of output-rezchability is extended for positive linear discrete-time systems with delays described by the stste equations, by the transfer matrices and by the impulse matrices. Necessary and sufficient conditions for the output-reachability are established. The calssical Cayley-Hamilton theorem is extended for coeffiecient matrices of the system impulse matrix. The considerations are illustrated by numerical examples.

Słowa kluczowe

EN

linear; discrete-time; system; delay; output-reachability; positive system

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2006
• Tom: Vol. 16, no. 3
• Strony: 247--255
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Kaczorek T.

• Białystok Technical University, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok,

Bibliografia

• [1] M. BUSŁOWICZ and T. KACZOREK: Reachability and minimum energy control of positive linear discrete-time systems with one delay. Proc. 12th Mediterranean Conf on Control and Automiation, Ksadasi, Izmir, Turkey, (2004).
• [2] L. FARINA and S. RINALDI: Positive Linear Systems; Theory and Applications. J. Wiley, New York, 2000
• [3] T. KACZOREK: Linear Control Systems. vol. 1. Research Studies Press, J. Wiley, New York, 1992.
• [4] T. KACZOREK: Positive 1D and 2D Systems. Springer-Verlag, London, 2002.
• [5] T. KACZOREK: Some recent developments in positive systems. Proc. 7th Conf on Dynamical Systems Theory and Applications, LOd±, Poland, (2003), 25-35.
• [6] T. KACZOREK: Output-reachability of positive linear discrete-time systems. Proc. Comput. Problems of Electrical Engineering, Odessa, Ukraine, (2006), 27-30.
• [7] T. KACZOREK and M. BUSŁOWICZz; Recent developments in theory of positive discrete-time linear systems with delays - reachability, minimum energy control and realization problem. Pomiary, Automatyka, Kontrola, 9 (2004), 12-15.