Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The realization problem for 2D positive multi-inputs and multi-outputs (MIMO) linear hybrid systems is formulated and a method based on the state variable diagram for finding a positive realization of a given proper transfer matrix is proposed. Sufficient conditions for the existence of a positive realization of a given proper transfer matrix are established. A procedure for computation of a positive realization is proposed and illustrated by a numerical example.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
39--55
Opis fizyczny
Bibliogr. 18 poz., rys.
Twórcy
autor
autor
- Faculty of Electrical Engineering, Bialystok Technical University, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
- [1] L. BENVENUTI and L. FARINA: A tutorial on the positive realization problem. IEEE Trans. Autom. Control, 49(5), (2004), 651-664.
- [2] L. FARINA and S. RINALDI: Positive linear systems. Theory and applications. J. Wiley, New York, 2000.
- [3] T. KACZOREK and M. BUSŁOWICZ: Reachability and minimum energy control of positive linear discrete-time systems with one delay. Proc 12th Mediterranean Conference on Control and Automation, Kusadasi, Izmir, Turkey, (2004).
- [4] T. KACZOREK: Some recent developments in positive systems. Proc. 7th Conference of Dynamical Systems Theory and Applications, LOdZ, Poland, (2003), 25-35.
- [5] T. KACZOREK: Positive 1D and 2D systems. Springer Verlag, London, 2002.
- [6] T. KACZOREK: A realization problem for positive continuous-time linear systems with reduced numbers of delay. Int. Appl. Math. Comp. Sci., 2006, 16(3), (2006), 325-331.
- [7] 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.
- [8] T. KACZOREK: Realization problem for positive discrete-time systems with delay. System Science, 30(4), (2004), 117-130.
- [9] 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.
- [10] T. KACZOREK and M. BUSŁOWICZ: Minimal realization problem for positive multivariable linear systems with delay. Mt. J. Appl. Math. Comput. Sci., 14(2), (2004), 181-187.
- [11] T. KACZOREK: Positive 2D hybrid linear systems. Proc. 6th Mt. Congress on Industrial and Applied Mathematics, Zurich, Switzerland, (2007).
- [12] T. KACZOREK: Realization problem for positive 2D hybrid systems. Submitted to The Int. J. for• Computation and Mathematics in Electrical Engineering and Electronic Engineering COMPEL.
- [13] J. KLAMKA: Controllability of dynamical systems. Kluwer Academic Publ., Dordrecht, 1991.
- [14] J. KUREK: The general state-space model for a two-dimensional linear digital system. IEEE Trans. Austom. Conti, 30 (1985), 600-602.
- [15] V. M. MARCHENKO and O. N. PODDUBNAYA: Relative controllability of stationary hybrid systems. Proc. 10th IEEE Int. Conf. on Methods and Models in Automation and Robotics, 2004, Miedzyzdroje, Poland (2004), 267-272.
- [16] V. M. MARCHENKO, O. N. PODDUBNAYA and Z. ZACZKIEWICZ: On the observability of linear differential-algebraic systems with delays. IEEE Trans. Autom. Conti:, 51(8), (2006), 1387-1392.
- [17] R. B. ROESSER: A discrete state-space model for linear image processing. IEEE Trans. on Automatic Control, 20(1), (1975), 1-10.
- [18] M. E. VALCHER: On the initial stability and asymptotic behavior of 2D positive systems. IEEE Trans. on Circuits and Systems, I, 44(7), (1997), 602-613.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0037-0003