Realization problem for positive 2D hybrid systems

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Volumn 27, Issue 3, 2008, Pages 613-623

  Kaczorek, Tadeusz ^a  

^a BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Numerical analysis; Systems and control theory

Indexed keywords

COMPUTATION THEORY; CONTROL THEORY; LINEAR SYSTEMS; NUMERICAL ANALYSIS; PROBLEM SOLVING; TRANSFER MATRIX METHOD;

LINEAR HYBRID SYSTEMS; POSITIVE 2D REALIZATION; REALIZATION PROBLEM; SYSTEMS AND CONTROL THEORY;

MIMO SYSTEMS;

EID: 43049122784     PISSN: 03321649     EISSN: None     Source Type: Journal    
DOI: 10.1108/03321640810861061     Document Type: Article

References (18)

1. Benvenuti, L. and Farina, L. (2004), "A tutorial on the positive realization problem", IEEE Trans. Autom. Control, Vol. 49 No. 5, pp. 651-64.
2. Busłowicz, M. and Kaczorek, T. (2004), "Reachability and minimum energy control of positive linear discrete-time systems with one delay", paper presented at 12th Mediterranean Conference on Control and Automation, June 6-9.
3. Farina, L. and Rinaldi, S. (2000), Positive Linear Systems; Theory and Applications, Wiley, New York, NY.
4. Kaczorek, T. (2001), Positive 1D and 2D Systems, Springer Verlag, London.
5. Kaczorek, T. (2003), "Some recent developments in positive systems", Proc. 7th Conference of Dynamical Systems Theory and Applications, Łódź, pp. 25-35.
6. Kaczorek, T. (2004), "Realization problem for positive discrete-time systems with delay", System Science, Vol. 30 No. 4, pp. 17-30.
7. Kaczorek, T. (2006a), "A realization problem for positive continues-time linear systems with reduced numbers of delay", Int. J. Appl. Math. Comp. Sci., Vol. 16 No. 3, pp. 325-31.
8. Kaczorek, T. (2006b), "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, pp. 101-6.
9. Kaczorek, T. (2007), "Positive 2D hybrid linear systems", Bull. Acad. Pol. Sci. Techn. Sci, Vol. 53 No. 3.
10. Kaczorek, T. and Busłowicz, M. (2007), "Reachability and minimum energy control of positive discrete-time linear systems with multiple delays in state and control", Pomiary Automatyka Kontrola, Vol. 53 No. 10.
11. Klamka, J. (1991), Controllability of Dynamical Systems, Kluwer Academic Publications, Dordrecht.
12. Kurek, J. (1985), "The general state-space model for a two-dimensional linear digital system", IEEE Trans. Autom. Contr., Vol. AC-30, pp. 600-2.
13. Marchenko, V.M. and Poddubnaya, O.N. (2004), "Relative controllability of stationary hybrid systems", paper presented at 10th IEEE Int. Conf. on Methods and Models in Automation and Robotics, 30 August-2 September, pp. 267-72.
14. Marchenko, V.M., Poddubnaya, O.N. and Zaczkiewicz, Z. (2006), "On the observability of linear differential-algebraic systems with delays", IEEE Trans. Autom. Contr., Vol. 51 No. 8, pp. 1387-92.
15. Roesser, R.B. (1975), "A discrete state-space model for linear image processing", IEEE Trans. on Automatic Control, Vol. AC-20 No. 1, pp. 1-10.
16. Valcher, M.E. (1997), "On the initial stability and asymptotic behavior of 2D positive systems", IEEE Trans. on Circuits and Systems I, Vol. 44 No. 7, pp. 602-13.
17. Kaczorek, T. (2005), "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.
18. Kaczorek, T. and Busłowicz, M. (2004), "Minimal realization problem for positive multivariable linear systems with delay", Int. J. Appl. Math. Compt. Sci., Vol. 14 No. 2, pp. 181-7.