New stability conditions for positive continuous-discrete 2D linear systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete 2D linear systems are established. Necessary conditions for the stability are also given. The stability tests are demonstrated on numerical examples.

Słowa kluczowe

EN

positive systems; 2D linear system; continuous-discrete systems

PL

system dodatni; system liniowy; układ ciągło-dyskretny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2011
• Tom: Vol. 21, no 3
• Strony: 521--524
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Kaczorek T.

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

Bibliografia

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• [2] Busłowicz, M. (2010a). Stability and robust stability conditions for a general model of scalar continuous-discrete linear systems, Pomiary, Automatyka, Kontrola 56(2): 133-135.
• [3] Busłowicz, M. (2010b). Robust stability of the new general 2D model of a class of continuous-discrete linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 58(4): 561-566.
• [4] Busłowicz, M. (2011). Improved stability and robust stability conditions for a general model of scalar continuous-discrete linear systems, Pomiary, Automatyka, Kontrola 57(2): 188-189.
• [5] Dymkov, M., Gaishun, I., Rogers, E., Gałkowski, K. and Owens, D. H. (2004). Control theory for a class of 2D continuous-discrete linear systems, International Journal of Control 77 (9): 847-860.
• [6] Farina, L. and Rinaldi, S. (2000). Positive Linear Systems: Theory and Applications, J. Wiley, NewYork, NY.
• [7] Gałkowski, K., Rogers, E., Paszke, W. and Owens, D. H. (2003). Linear repetitive process control theory applied to a physical example, International Journal of Applied Mathematics and Computer Science 13 (1): 87-99.
• [8] Kaczorek, T. (1998). Reachability and minimum energy control of positive 2D continuous-discrete systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 46 (1): 85-93.
• [9] Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer-Verlag, London.
• [10] Kaczorek, T. (2007). Positive 2D hybrid linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 55(4): 351-358.
• [11] Kaczorek, T. (2008a). Positive fractional 2D hybrid linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 56 (3): 273-277.
• [12] Kaczorek, T. (2008b). Realization problem for positive 2D hybrid systems, COMPEL 27 (3): 613-623.
• [13] Kaczorek, T. (2009). Stability of positive continuous-time linear systems with delays, Bulletin of the Polish Academy of Sciences: Technical Sciences 57(4): 395-398.
• [14] Kaczorek, T., Marchenko, V. and Sajewski, Ł. (2008). Solvability of 2D hybrid linear systems-Comparison of the different methods, Acta Mechanica et Automatica 2(2): 59-66.
• [15] Sajewski, Ł. (2009). Solution of 2D singular hybrid linear systems, Kybernetes 38 (7/8): 1079-1092.
• [16] Xiao, Y. (2001a). Stability test for 2-D continuous-discrete systems, Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, USA, Vol. 4, pp. 3649-3654.
• [17] Xiao, Y. (2001b). Robust Hurwitz-Schur stability conditions of polytopes of 2-D polynomials, Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, USA, Vol. 4, pp. 3643-3648.
• [18] Xiao, Y. (2003). Stability, controllability and observability of 2-D continuous-discrete systems, Proceedings of the International Symposium on Circuits and Systems, Bangkok, Thailand, Vol. 4, pp. 468-471.