Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
A new test for checking the reachability (observability) of positive discrete-time linear systems is proposed. Conditions are established under which the unreachable pair (A;B) and the unobservable pair (A;C) of positive discrete-time system can be decomposed into reachable and unreachable parts and observable and unobservable parts, respectively. It is shown that the transfer matrix of the positive system is equal to the transfer matrix of its reachable (observable) part.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
341--361
Opis fizyczny
Bibliogr. 10 poz., rys., wzory
Twórcy
autor
- Faculty of Electrical Engineering, Białystok University of Technology, Wiejska 45D, 15-351 Białystok, kaczorek@isep.pw.edu.pl
Bibliografia
- [1] P. J. ANTSAKLIS and A. N. MICHEL: Linear systems. Birkhauser, Boston 2006.
- [2] L. FARINA and S. RINALDI: Positive linear systems. Theory and applications. J. Wiley, New York, 2000.
- [3] T. KACZOREK: Positive 1D and 2D systems. Springer Verlag, London, 2001.
- [4] T. KACZOREK: Reachability and controllability to zero tests for standard and positive fractional discrete-time systems. Journal Européen des Systèmes Automatisés, JESA, 42(6-8), (2008), 770-781.
- [5] T. KACZOREK: Linear control systems. 1 J. Wiley, New York, 1993.
- [6] T. KAILATH: Linear systems. Prentice-Hall, Englewood Cliffs, New York, 1980.
- [7] R. E. KALMAN: Mathematical descriptions of linear systems. SIAM J. Control, 1 (1963), 152-192.
- [8] R. E. KALMAN: On the general theory of control systems. Proc. of the First Int. Congress on Automatic Control, Butterworth, London, )1960), 481-493.
- [9] H. H. ROSENBROCK: State-space and multivariable theory. J. Wiley, New York, 1970.
- [10] W. A. WOLOVICH: Linear multivariable systems. Springer-Verlag, New York, 1974.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0073-0014