Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The problem of asymptotic stability of continuous-discrete linear systems is considered. Simple necessary conditions and two computer methods for investigation of asymptotic stability of the second Fornasini-Marchesini type model are given. The first method requires computation of the eigenvalue-loci of complex matrices, the second method requires computation of determinants of some matrices. Effectiveness of the methods is demonstrated on numerical example.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
17--21
Opis fizyczny
Bibliogr. 21 poz., Rys.
Twórcy
autor
- Bialystok University of Technology, Białystok, busmiko@pb.edu.pl
Bibliografia
- 1. Bistritz Y. (2003), A stability test for continuous-discrete bivariate polynomials, Proc. Int. Symp. on Circuits and Systems, vol. 3, 682-685, Bangkok, Thailand.
- 2. Bistritz Y. (2004), Immittance and telepolation-based procedures to test stability of continuous-discrete bivariate polynomials, Proc. IEEE Int. Symposium on Circuits and Systems, vol. 3, 293-296, Vancouver, Canada.
- 3. Busłowicz M. (2007), Stability of linear time-invariant systems with uncertain parameters, Publishing Department of Technical University of Białystok, Białystok (in Polish)
- 4. Busłowicz M. (2010a), Robust stability of the new general 2D model of a class of continuous-discrete linear systems, Bull. Pol. Ac. Techn. Sci., Vol. 57, No. 4, 561-565.
- 5. Busłowicz M. (2010b), Stability and robust stability conditions for general model of scalar continuous-discrete linear systems, Measurement Automation and Monitoring, Vol. 56, No. 2, 133-135.
- 6. Busłowicz M. (2011a), Improved stability and robust stability conditions for general model of scalar continuous-discrete linear systems, Measurement Automation and Monitoring, Vol. 57, No. 2, 188-189.
- 7. Busłowicz M. (2011b), Computational methods for investigation of stability of models of 2D continuous-discrete linear systems, Journal of Automation, Mobile Robotics and Intelligent Systems, Vol. 5, No. 1, 3-7.
- 8. Busłowicz M., Ruszewski A. (2011a), Stability investigation of continuous-discrete linear systems, Measurement Automation and Robotics, No.2/2011, 566-575 (in Polish).
- 9. Busłowicz M., Ruszewski A. (2011b), Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systems, Int. J. Appl. Math. Comput. Sci. (in press).
- 10. Guiver J. P., Bose N. K. (1981), On test for zero-sets of multivariate polynomials in noncompact polydomains, Proc. of the IEEE, Vol. 69, No. 4, 467-469.
- 11. Kaczorek T. (2002), Positive 1D and 2D Systems, SpringerVerlag, London.
- 12. Kaczorek T. (2007), Positive 2D hybrid linear systems, Bull. Pol. Ac. Techn. Sci., Vol. 55, No. 4, 351-358.
- 13. Kaczorek T. (2008a), Positive fractional 2D hybrid linear systems, Bull. Pol. Ac. Techn. Sci., Vol. 56, No. 3, 273-277.
- 14. Kaczorek T. (2008b), Realization problem for positive 2D hybrid systems, COMPEL, Vol. 27, No. 3, 613-623.
- 15. Kaczorek T. (2011a), Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin.
- 16. Kaczorek T. (2011b), New stability conditions for positive continuous-discrete 2D linear systems. Int. J. Appl. Math. Comput. Sci., Vol. 21, No. 3, 521-524.
- 17. Kaczorek T., Rogowski K. (2010), Reachability of linear hybrid systems described by the general model, Archives of Control Sciences, Vol. 20, No. 2, 199-2007.
- 18. Kaczorek T. and Sajewski Ł. (2011), Stability of continuousdiscrete linear systems with delays in state vector, Archives of Control Sciences, Vol. 21, No. 1, 5-16.
- 19. Kaczorek T., Marchenko V., Sajewski Ł. (2008), Solvability of 2D hybrid linear systems - comparison of the different methods, Acta Mechanica et Automatica, Vol. 2, No. 2, 59-66.
- 20. Keel L. H., Bhattacharyya S. P. (2000), A generalization of Mikhailov's criterion with applications, Proc. of American Control Conference, Chicago, Vol. 6, 4311-4315.
- 21. Sajewski Ł. (2009), Solution of 2D singular hybrid linear systems, Kybernetes, Vol. 38, No. 7/8, 1079-1092.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0061-0006