Positive minimal realizations for singular discrete-time systems with delays in state and delays in control

Bulletin of the Polish Academy of Sciences: Technical Sciences

Volumn 53, Issue 3, 2005, Pages 293-298

  Kaczorek, T ^a  

^a BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Control; Positive (minimal) realization; Singular discrete time systems; Systems with delays

Indexed keywords

CONTROLS; POSITIVE (MINIMAL) REALIZATION; SINGULAR DISCRETE-TIME SYSTEMS; SYSTEMS WITH DELAYS;

COMPUTATION THEORY; DELAY CONTROL SYSTEMS; POLYNOMIALS; TRANSFER FUNCTIONS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 27644580342     PISSN: 02397528     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (11)

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2. L. Farina and S. Rinaldi, Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
3. T. Kaczorek, Positive ID and 2D Systems, Springer-Verlag, London 2002.
4. T. Kaczorek, "Some recent developments in positive systems", Proc. 7th Conference of Dynamical Systems Theory and Applications, Łódź, 25-35 (2003).
5. L. Benvenuti and L. Farina, "A tutorial on the positive realization problem", IEEE Trans. Autom, Control 49(5), 651-664 (2004).
6. M. Busłowicz and T. Kaczorek, "Reachability and minimum energy control of positive linear discrete-time systems with one delay", 12th Mediterranean Conference on Control and Automation, Kasadasi, Izmir, 2004.
7. T. Kaczorek and M. Busłowicz, "Minimal realization for positive multivariable linear systems with delay", Int. J. Appl. Math. Comput. Sci. 14 (2), 181-187 (2004).
8. T. Kaczorek and M. Busłowicz, "Reachability and minimum energy control of positive discrete-time linear systems with multiple delay in state and control", (accepted for 44th IEEE CDC-ECC'05).
9. G. Xie and L. Wang, "Reachability and controllability of positive linear discrete-time systems with time-delays", in: L. Benvenuti, A. De Santis and L. Farina (eds), Positive Systems LNCIS 294, pp. 377-384, Springer-Verlag, Berlin, 2003.
10. T. Kaczorek, "Realization problem for positive discrete-time systems with delay", System Science 30(4), 2005 (to be published).
11. T. Kaczorek, "Realization problem for positive continuous-time systems with delays", Proc. Intern. Conf. on Systems Engineering, Las Vegas, 2005.