Positive partial realization problem for linear discrete-time systems

• Autorzy: Kaczorek T.
• 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.

Słowa kluczowe

EN

positive systems; partial realization; existence; computation; linear system; discrete-time systems

PL

system dodatni; istnienie; obliczanie; system liniowy; system dyskretno-czasowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: Vol. 17, no 2
• Strony: 165--171
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Kaczorek T.

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

Bibliografia

• [1] Benvenuti L. and Farina L. (2004): A tutorial on the positive realization problem. - IEEE Trans. Automat. Contr., Vol. 49, No. 5, pp. 651-664.
• [2] Farina L. and Rinaldi S. (2000): Positive Linear Systems: Theory and Applications. -Wiley, New York.
• [3] 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.
• [4] Kaczorek T. (1992): Linear Control Systems, Vol. 1.-Taunton: Research Studies Press.
• [5] Kaczorek T. (2002): Positive 1D and 2D Systems. - London: Springer.
• [6] Kaczorek T. (2004): Realization problem for positive discretetime systems with delay. - System Sci., Vol. 30, No. 4, pp. 17-30.
• [7] 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.
• [8] 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.
• [9] 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.
• [10] Kaczorek T. (2006c): Computation of realizations of discretetime cone-systems. - Bull. Polish Acad. Sci. Techn. Sci., Vol. 54, No. 3, pp. 347-350.
• [11] 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.
• [12] Kaczorek T. (2006e): Minimal positive realization for discretetime systems with state time-delays. - Int. J. Comput. Math. Electr. Eng. COMPEL, Vol. 25, No. 4, pp. 812-826.
• [13] Kaczorek T. and Busłowicz 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.
• [14] 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).