Positive 2D hybrid linear systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

A new class of positive hybrid linear systems is introduced. The solution of the hybrid system is derived and necessary and sufficient condition for the positivity of the class of hybrid systems are established. The classical Cayley-Hamilton theorem is extended for the hybrid systems. The reachability of the hybrid system is considered and sufficient conditions for the reachability are established. The considerations are illustrated by a numerical example.

Słowa kluczowe

EN

positive hybrid system; Cayley-Hamilton theorem; reachability of the hybrid system

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2007
• Tom: Vol. 55, nr 4
• Strony: 351--358
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Bialystok Technical University, 45D Wiejska St., 15-351 Bialystok, Poland,

Bibliografia

• [1] L. Farina and Rinaldi, Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
• [2] T. Kaczorek, Positive ID and 2D systems, Springer Verlag, London 2001.
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• [5] T. Kaczorek, "A realization problem for positive continuous-time linear systems with reduced numbers of delay", Int. J. Appl. Math. Camp. Sci. 3,325-331 (2006).
• [6] T. Kaczorek, "Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs", Int. J. Appl. Math. Comp. Sci. 16 (2), 101-106 (2006).
• [7] T. Kaczorek, "Realization problem for positive discrete-time systems with delay", System Science 30 (4), 17-30 (2004).
• [8] T. Kaczorek, "Positive minimal realizations for singular discrete-time systems with delays in state and delays in control", Bull. Pal. Ac.: Sci. Tech. 53 (3), 293-298 (2005).
• [9] T. Kaczorek and M. Buslowicz, "Minimal realization problem for positive multivariable linear systems with delay", Int. J. Appl. Math. Comput. Sci. 14 (2), 181-187 (2004).
• [10] M. Buslowicz and T. Kaczorek, "Reachability and minimum energy control of positive linear discrete-time systems with one delay", 12th Mediterranean Conf. Control and Automation 3, (2004).
• [11] Y.M. Marchenko and O.N. Poddubnaya, "Relative controllability of stationary hybrid systems", 10th IEEE Int. Conf. Methods and Models in Automation and Robotics, 267-272 (2004).
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