Stability of continuous-discrete linear systems described by the general model

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete linear systems described by the general 2D model are established. A procedure for checking the asymptotic stability is proposed. The effectiveness of the procedure is demonstrated on examples.

Słowa kluczowe

EN

stability; continuous-discrete linear systems; general model

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2011
• Tom: Vol. 59, nr 2
• Strony: 189--193
• Opis fizyczny: Bibliogr. 19 poz., rys., tab.

Twórcy

autor

Kaczorek T.

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

Bibliografia

• [1] L. Farina and S. Rinaldi, Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
• [2] T. Kaczorek, Positive 1D and 2D Systems, Springer-Verlag, London, 2002.
• [3] T. Kaczorek, “Reachability and minimum energy control of positive 2D continuous-discrete systems”, Bull. Pol. Ac.: Tech. 46 (1), 85–93 (1998).
• [4] T. Kaczorek, “Positive 2D hybrid linear systems”, Bull. Pol. Ac.: Tech. 55 (4), 351–358 (2007).
• [5] T. Kaczorek, “Positive fractional 2D hybrid linear systems”, Bull. Pol. Ac.: Tech. 56 (3), 273–277 (2008).
• [6] T. Kaczorek, V. Marchenko, and Ł. Sajewski, “Solvability of 2D hybrid linear systems – comparison of the different methods”, Acta Mechanica et Automatica 2 (2), 59–66 (2008).
• [7] Ł. Sajewski, “Solution of 2D singular hybrid linear systems”, Kybernetes 38 (7/8), 1079–1092 (2009).
• [8] T. Kaczorek, “Realization problem for positive 2D hybrid systems”, COMPEL 27 (3), 613–623 (2008).
• [9] M. Dymkov, I. Gaishun, E. Rogers, K. Gałkowski, and D. H. Owens, “Control theory for a class of 2D continuous-discrete linear systems”, Int. J. Control 77 (9), 847–860 (2004).
• [10] K. Gałkowski, E. Rogers, W. Paszke, and D.H. Owens, “Linear repetitive process control theory applied to a physical example”, Int. J. Appl. Math. Comput. Sci. 13 (1), 87–99 (2003).
• [11] Y. Bistritz, “A stability test for continuous-discrete bivariate polynomials”, Proc. Int. Symp. on Circuits and Systems 3, 682–685 (2003).
• [12] M. Busłowicz, “Improved stability and robust stability conditions for a general model of scalar continuous-discrete linear systems”, Measurement Automation and Monitoring 2, 188–189 (2011).
• [13] M. Busłowicz, “Stability and robust stability conditions for a general model of scalar continuous-discrete linear systems”, Measurement Automation and Monitoring 2, 133–135 (2010).
• [14] M. Busłowicz, “Robust stability of the new general 2D model of a class of continuous-discrete linear systems”, Bull. Pol. Ac.: Tech. 58 (4), 567–572 (2010).
• [15] Y. Xiao, “Stability test for 2-D continuous-discrete systems”, Proc. 40th IEEE Conf. on Decision and Control 4, 3649–3654 (2001).
• [16] Y. Xiao, “Stability, controllability and observability of 2-D continuous-discrete systems, Proc. Int. Symp. on Circuits and Systems 4, 468–471 (2003).
• [17] Y. Xiao, “Robust Hurwitz-Schur stability conditions of polytopes of 2-D polynomials”, Proc. 40th IEEE Conf. on Decision and Control 4, 3643–3648 (2001).
• [18] T. Kaczorek, “Stability of positive continuous-time linear systems with delays”, Bull. Pol. Ac.: Tech. 57 (4), 395–398 (2009).
• [19] K.S. Narendra and R. Shorten, “Hurwitz stability of Metzler matrices”, IEEE Trans. Autom. Control 55 (6), 1484–1487 (2010).