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2012 | 22 | 2 | 401-408
Tytuł artykułu

Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Asymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of the asymptotic stability of the Roesser type model are given. The methods require computation of eigenvalue-loci of complex matrices or evaluation of complex functions. The effectiveness of the stability tests is demonstrated on numerical examples.
Rocznik
Tom
22
Numer
2
Strony
401-408
Opis fizyczny
Daty
wydano
2012
otrzymano
2011-02-25
poprawiono
2011-06-11
poprawiono
2011-10-16
Twórcy
  • Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland
  • Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland
Bibliografia
  • Bistritz, Y. (2003). A stability test for continuous-discrete bivariate polynomials, Proceedings of the 2003 IEEE International Symposium on Circuits and Systems, Bangkok, Thailand, Vol. 3, pp. 682-685.
  • Bistritz, Y. (2004). Immittance and telepolation-based procedures to test stability of continuous-discrete bivariate polynomials, Proceedings of the 2004 IEEE International Symposium on Circuits and Systems, Vancouver, Canada, Vol. 3, pp. 293-296.
  • Busłowicz, M. (1997). Stability of Linear Time-invariant Systems with Uncertain Parameters, Technical University of Białystok, Białystok, (in Polish).
  • Busłowicz, M. (2010a). 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 57(4): 561-565.
  • Busłowicz, M. (2010b). Stability and robust stability conditions for general model of scalar continuous-discrete linear systems, Pomiary, Automatyka, Kontrola 56(2): 133-135.
  • Busłowicz, M. (2011a). Computational methods for investigation of stability of models of 2D continuous-discrete linear systems, Journal of Automation, Mobile Robotics and Intelligent Systems 5(1): 3-7.
  • Busłowicz, M. (2011b). Improved stability and robust stability conditions for general model of scalar continuous-discrete linear systems, Pomiary, Automatyka, Kontrola 57(2): 188-189.
  • Busłowicz, M. and Ruszewski, A. (2011). Stability investigation of continuous-discrete linear systems, Pomiary, Automatyka, Robotyka 2(2): 566-575, (on CD-ROM, in Polish).
  • Dymkov, M. (2005). Extremal Problems in Multiparameter Control Systems, BGEU Press, Minsk, (in Russian).
  • Dymkov, M., Gaishun, I., Rogers, E., Gałkowski, K. and Owens, D.H. (2004). Control theory for a class of 2D continuousdiscrete linear systems, International Journal of Control 77(9): 847-860.
  • Dymkov M., Rogers E., Dymkou S., Gałkowski, K. and Owens D.H. (2003). Delay system approach to linear differential repetitive processes, Proceedings of the IFAC Workshop on Time-Delay Systems (TDS 2003), Rocquencourt, France, (CD-ROM).
  • 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.
  • Guiver, J.P. and Bose, N.K. (1981). On test for zero-sets of multivariate polynomials in noncompact polynomials, Proceedings of the IEEE 69(4): 467-469.
  • Hespanha, J. (2004). Stochastic hybrid systems: Application to communication networks, Technical report, Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA.
  • Johanson, K., Lygeros, J. and Sastry, S. (2004). Modelling hybrid systems, in H. Unbehauen (Ed.), Encyclopedia of Life Support Systems, EOLSS, Berlin.
  • Kaczorek, T. (1998). Vectors and Matrices in Automatics and Electrotechnics, WNT, Warsaw, p. 70, (in Polish).
  • Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer-Verlag, London.
  • Kaczorek, T. (2007). Positive 2D hybrid linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 55(4): 351-358.
  • Kaczorek, T. (2008a). Positive fractional 2D hybrid linear systems, Bulletin of the Polish Academy of Sciences: Technical Sciences 56(3): 273-277.
  • Kaczorek, T. (2008b). Realization problem for positive 2D hybrid systems, International Journal for Computation and Mathematics in Electrical and Electronic Engineering, COMPEL 27(3): 613-623.
  • Kaczorek, T. (2011). Selected Problems of Fractional Systems Theory, Lecture Notes in Control and Information Sciences, Vol. 411, Springer-Verlag, Berlin.
  • 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.
  • Keel, L.H. and Bhattacharyya, S.P. (2000). A generalization of Mikhailov's criterion with applications, Proceedings of the American Control Conference, Chicago, IL, USA, Vol. 6, pp. 4311-4315.
  • Liberzon, D. (2003). Switching in Systems and Control, Birkhauser, Boston, MA.
  • Sajewski, Ł. (2009). Solution of 2D singular hybrid linear systems, Kybernetes 38(7/8): 1079-1092.
  • Marchenko V.M. and Loiseau J.J. (2009). On the stability of hybrid difference-differential systems, Differential Equation 45(5), 743-756.
  • Rogers, E., Gałkowski, K. and Owens, D.H. (2007). Control Systems Theory and Applications for Linear Repetitive Processes, Lecture Notes in Control and Information Sciences, Vol. 349, Springer-Verlag, Berlin.
  • Xiao, Y. (2001). 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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv22i2p401bwm
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