Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
A method for computation of positive asymptotically stable realizations of fractional descriptor continuous-time linear systems with regular pencil is proposed. The method is based on the decomposition of the improper transfer matrix into strictly proper matrix and a polynomial matrix. A procedure for decomposition of a positive asymptotically stable realization is given and illustrated by a numerical example.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
303--313
Opis fizyczny
Bibliogr. 27 poz., rys., tab., wzory
Twórcy
autor
- Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Bialystok, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
- [1] L. Benvenuti and L. Farina: A tutorial on the positive realization problem. IEEE Trans. on Automatic Control, 49(5), (2004), 651-664.
- [2] L. Dai: Singular control systems. Lecture Notes in Control and Inform. Sci. 118 Springer-Verlag, Berlin, 1989.
- [3] R. Bru, C. Coll, S. Romero-Vivo and E. Sanchez: Some problems about structural properties of positive descriptor systems. Positive systems (Rome, 2003), Lecture Notes in Control and Inform. Sci. 294 Springer, Berlin, 2003, 233-240.
- [4] R. Bru, C. Coll and E. Sanchez: Structural properties of positive linear timeinvariant difference-algebraic equations. Linear Algebra Appl., 349 (2002), 1-10.
- [5] L. Farina and S. Rinaldi: Positive Linear Systems; Theory and Applications. J. Wiley, New York, 2000.
- [6] T. Kaczorek: A realization problem for positive continuous-time linear systems with reduced numbers of delays. Int. J. Appl. Math. Comp. Sci., 16(3), (2006), 325-331.
- [7] T. Kaczorek: Computation of positive stable realization for linear continuoustime systems. Bull. Pol. Acad. Sci. Techn., 59(3), (2011), 273-281.
- [8] T. Kaczorek: Computation of realizations of discrete-time cone systems. Bull.Pol. Acad. Sci. Techn., 54(3), (2006), 347-350.
- [9] T. Kaczorek: Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm. Archives of Control Sciences, 21(3), (2011), 287-298.
- [10] T. Kaczorek: Fractional positive continuous-time linear systems and their reachability. Int. J. Appl. Math. Comp. Sci., 18(2), (2008), 223-228.
- [11] T. Kaczorek: Fractional positive linear systems. Kybernetes: The InternationalJournal of Systems and Cybernetics, 38(7/8), (2009), 1059-1078.
- [12] T. Kaczorek: Linear Control Systems. 1 Research Studies Press, J. Wiley, New York 1992.
- [13] T. Kaczorek: Positive 1D and 2D Systems. Springer-Verlag, London, 2002.
- [14] T. Kaczorek: Polynomial and Rational Matrices. Springer-Verlag, London, 2009.
- [15] T. Kaczorek: Positive stable realizations of fractional continuous-time linear systems. Int. J. Appl. Math. Comp. Sci., 21(4), (2011), 697-703.
- [16] T. Kaczorek: Positive minimal realizations for singular discrete-time systems with delays in state and delays in control. Bull. Pol. Acad. Sci. Techn., 53(3), (2005), 293-298.
- [17] T. Kaczorek: Positive stable realizations with system Metzler matrices. Proc.MMAR Conf., 22-25 Sept. 2011, Międzyzdroje, Poland.
- [18] T. Kaczorek: Realization problem for fractional continuous-time systems. Archives of Control Sciences, 18(1), (2008), 43-58.
- [19] T. Kaczorek: Realization problem for positive 2D hybrid systems. COMPEL, 27(3), (2008), 613-623.
- [20] T. Kaczorek: Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs. Int. J. Appl. Math. Comp. Sci., 16(2), (2006), 101-106.
- [21] T. Kaczorek: Realization problem for positive discrete-time systems with delays. System Science, 30(4), (2004), 117-130.
- [22] T. Kaczorek: Selected Problems in Fractional Systems Theory. Springer-Verlag, 2011.
- [23] T. Kaczorek: Positive realizations for descriptor continuous-time linear systems. PAK, (2012).
- [24] T. Kaczorek: Stability of descriptor positive linear systems. COMPEL, (2012), (in press).
- [25] T. Kaczorek: Singular fractional linear systems and electrical circuits. Int. J.Apll. Math. Comput. Sci., 21(2), (2011), 379-384.
- [26] E. Virnik: Stability analusis of positive descriptor systems. Linear Algebra andits Applications, 429 (2008), 2640-2659.
- [27] U. Shaker and M. Dixon: Generalized minimal realization of transfer-function matrices. Int. J. Contr., 25(5), (1977), 785-803.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0103-0004