Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The problem of asymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of asymptotic stability of the Fornasini-Marchesini type and the Roesser type models, are given. The methods proposed require computation of the eigenvalue-loci of complex matrices. Effectiveness of the stability tests are demonstrated on numerical examples.
Rocznik
Tom
Strony
3--7
Opis fizyczny
Bibliogr. 20 poz., rys.
Twórcy
autor
- Białystok University of Technology Faculty of Electrical Engineering, ul.Wiejska 45D, 15-351 Białystok, Poland, busmiko@pb.edu.pl
Bibliografia
- [1] Y. Bistritz, “A stability test for continuous-discrete bivariate polynomials”, In: Proc. Int. Symp. on Circuits and Systems, vol. 3, 2003, pp. 682-685.
- [2] M. Bus³owicz, “Robust stability of the new general 2D model of a class of continuous-discrete linear systems”, Bull. Pol. Ac.: Tech., vol. 57, no. 4, 2010.
- [3] M. Bus³owicz, “Stability and robust stability conditions for general model of scalar continuous-discrete linear systems”, Measurement Automation and Monitoring vol. 56, no. 2, 2010, pp. 133-135.
- [4] M. Bus³owicz, “Improved stability and robust stability conditions for general model of scalar continuousdiscrete linear systems”, Measurement Automation and Monitoring, (submitted for publication).
- [5] M. Dymkov, I. Gaishun, E. Rogers, K. Ga³kowski and D. H. Owens, “Control theory for a class of 2D continuousdiscrete linear systems”, Int. J. Control, vol. 77, no. 9, 2004, pp. 847-860.
- [6] K. Ga³kowski, E. Rogers,W. Paszke and D. H. Owens, “Linear repetitive process control theory applied to a physical example”, Int. J. Appl. Math. Comput. Sci., vol. 13, no. 1, 2003, pp. 87-99.
- [7] J.P. Guiver, N.K. Bose, “On test for zero-sets of multivariate polynomials in non-compact polydomains”, In: Proc. of the IEEE, vol. 69, no. 4, 1981, pp. 467-469.
- [8] J. Hespanha, “Stochastic Hybrid Systems: Application to Communication Networks”, Techn. Report, Dept. Of Electrical and Computer Eng., Univ. of California, 2004.
- [9] K. Johanson, J. Lygeros, S. Sastry, “Modelling hybrid systems”. In: H. Unbehauen (Ed.), Encyklopedia of Life Support Systems, EOLSS, 2004.
- [10] T. Kaczorek, Vectors and Matrices in Automatics and Electrotechnics, WNT: Warszawa, 1998, p. 70. (in Polish)
- [11] T. Kaczorek,”Positive 1D and 2D Systems”, Springer- Verlag: London, 2002.
- [12] T. Kaczorek, “Positive 2D hybrid linear systems”, Bull. Pol. Ac.: Tech., vol. 55, no. 4, 2007, pp. 351-358.
- [13] T. Kaczorek, “Positive fractional 2D hybrid linear systems”, Bull. Pol. Ac.: Tech., vol. 56, no. 3, 2008, pp. 273-277.
- [14] T. Kaczorek, „Realization problem for positive 2D hybrid systems” COMPEL, vol. 27, no. 3, 2008, pp. 613-623.
- [15] T. Kaczorek,V. Marchenko, £. Sajewski, “Solvability of 2D hybrid linear systems comparison of the different methods”,Acta Mechanica et Automatica, vol. 2, no. 2, 2008, pp. 59-66.
- [16] D. Liberzon, „ Switching in Systems and Control”, Birkhauser: Boston, 2003.
- [17] £. Sajewski, “Solution of 2D singular hybrid linear systems”, Kybernetes, vol. 38, no. 7/8, 2009, pp. 1079-1092.
- [18] Y. Xiao, “Stability test for 2-D continuous-discrete systems”. In: Proc. 40 IEEE Conf. on Decision andControlvol. 4, 2001, pp. 3649-3654.
- [19] Y. Xiao, ”Robust Hurwitz-Schur stability conditions of polytopes of 2-D polynomials”, In: Proc. 40 IEEE Conf. on Decision and Control vol. 4, 2001, pp. 3643-3648.
- [20] Y. Xiao, “Stability, controllability and observability of 2-D continuous-discrete systems . In: Proc. Int. Symp.on Circuits and Systems, vol. 4, 2003, pp. 468-471.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ5-0030-0027