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Abstrakty
The realization problem for 2D positive multi-input and multi-output (MIMO) linear hybrid systems with delays in state vector and input is addressed. A method based on the state variable diagram for finding positive realizations 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
5--13
Opis fizyczny
Bibliogr. 18 poz., rys.
Twórcy
autor
autor
- Institute of Control and Industrial Electronics, Warsaw Technical University, Koszykowa 75, 00-662 Warsaw, Poland, kaczorek@isep.pw.edu.pl
Bibliografia
- [1] Benvenuti L., Farina L., A tutorial on the positive realization problem, IEEE Trans. Autom. Control, Vol. 49, No. 5, 2004, pp. 651-664.
- [2] Farina L., Rinaldi S., Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
- [3] Kaczorek T., Bustowicz M., Reachability and minimum energy control of positive linear discrete-time systems with one delay, 12th Mediterranean Conf. Control and Automation, June 6-9,2004, Kusadasi, Izmir, Turkey.
- [4] Kaczorek T., Some recent developments in positive systems, Proc. 7th Conf. Dynamical Systems Theory and Applications, Łódź 2003, pp. 25-35.
- [5] Kaczorek T., Positive ID and 2D systems, Springer Verlag, London 2002.
- [6] Kaczorek T., A realization problem for positive continuous-time linear systems with reduced numbers of delay. Int. J. Appl. Math. Comp. Sci., Vol. 16, No. 3,2006, pp. 325-331.
- [7] Kaczorek T., Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs. Int. J. Appl. Math. Comp. Sci., Vol. 16, No. 2, 2006, pp. 101-106.
- [8] Kaczorek T., Realization problem for positive discrete-time systems with delay. System Science, Vol. 30, No. 4, 2004, pp. 117-130.
- [9] Kaczorek T., Positive minimal realizations for singular discrete-time systems with delays in state and delays in control. Bull. Pol. Acad. Sci. Techn., Vol. 53, No. 3, 2005, pp. 293-298.
- [10] Kaczorek T., Busłowicz M., Minimal realization problem for positive multivariable linear systems with delay, Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 2, 2004, pp. 181-187.
- [11] Kaczorek T., Positive 2D hybrid linear systems, Proc. Inter. Conf. Numerical Linear Algebra in Signals Systems and Control, 2007.
- [12] Kaczorek T., Realization problem for positive 2D hybrid systems. Submitted to COMPEL.
- [13] Klamka J., Controllability of Dynamical Systems, Kluwer Academic Publ., Dordrecht 1991.
- [14] Kurek J., The general state-space model for a two-dimensional linear digital system, IEEE Trans. Autom. Contr, AC-30, June 1985, pp. 600-602.
- [15] Marchenko V.M., Poddubnaya O.N., Relative controllability of stationary hybrid systems, 10th IEEE Int. Conf. Methods and Models in Automation and Robotics, 30 August-2 September 2004, Międzyzdroje, Poland, pp. 267-272.
- [16] Marchenko V.M., Poddubnaya O.N., Zaczkiewicz Z., On the observability of linear differential-algebraic systems with delays, IEEE Trans. Autom. Contr., Vol. 51, No. 8, 2006, pp. 1387-1392.
- [17] Roesser R.B., A discrete state-space model for linear image processing, IEEE Trans, on Automatic Control, AC-20, 1, 1975, pp. 1-10.
- [18] Valcher M.E., On the initial stability and asymptotic behavior of 2D positive systems, IEEE Trans, on Circuits and Systems, I, Vol. 44, No. 7, 1997, pp. 602-613.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0033-0045