Robust stability of positive discrete-time linear systems with multiple delays with linear unity rank uncertainty structure or non-negative perturbation matrices

Bulletin of the Polish Academy of Sciences: Technical Sciences

Volumn 55, Issue 1, 2007, Pages 1-5

  Buslowicz M ^a  

^a BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Delays; Discrete time; Linear system; Linear uncertainty; Positive; Robust stability; Unity rank uncertainty

Indexed keywords

PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); TIME DELAY; UNCERTAINTY ANALYSIS;

LINEAR UNCERTAINTY; NON NEGATIVE PERTURBATION MATRICES; UNITY RANK UNCERTAINTY;

DISCRETE TIME CONTROL SYSTEMS;

EID: 34247385898     PISSN: 02397528     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. L. Farina and S. Rinaldi, Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
2. T. Kaczorek, Positive ID and 2D Systems, SpringerVerlag, London, 2002.
3. M. Buslowicz, "Robust stability of positive discrete-time systems with delay linear uncertainty structure", Proc. XV National Conf. Automatics 1, 179-182 (2005), (in Polish).
4. M. Busłowicz, "Robust stability of scalar positive discrete-time linear systems with delays", Proc. Int. Conf. on Power Electronics and Intelligent Control 168, on CDROM (2005).
5. M. Busłowicz, "Stability of positive singular discrete-time systems with unit delay with canonical forms of state matrices", Proc. 12th IEEE Int. Conf. on Methods and Models in Automation and Robotics, (2006).
6. M. Busłowicz and T. Kaczorek, "Robust stability of positive discrete-time interval systems with time-delays", Bull. Pol. Ac.: Tech. 52 (2), 99-102 (2004).
7. M. Busłowicz and T. Kaczorek, "Recent developments in theory of positive discrete-time linear systems with delays - stability and robust stability", Measurements, Automatics, Control 10, 9-12 (2004).
8. M. Busłowicz and T. Kaczorek, "Stability and robust stability of positive linear discrete-time systems with pure delay", Proc. 10th IEEE Int. Conf. on Methods and Models in Automation and Robotics 1, 105-108 (2004).
9. M. Busłowicz and T. Kaczorek, "Robust stability of positive discrete-time systems with pure delay with linear unity rank uncertainty structure", Proc. 11th IEEE Int. Conf. on Methods and Models in Automation and Robotics, on CD-ROM (2005).
10. M. Busłowicz and T. Kaczorek, "Componentwise asymptotic stability and exponential stability of positive discrete-time linear systems with delays", Proc. Int. Conf. on Power Electronics and Intelligent Control 160, on CDROM (2005), Measurements, Automatics, Control 7(8), 31-33 (2006).
11. T. Kaczorek, "Stability of positive discrete-time systems with time-delay", Proc. 8th World Multiconference on Systemics, Cybernetics and Informatics, 321-324 (2004).
12. J. Ackermann, D. Kaesbauer, W. Sienel, and R. Steinhauser, Robust Control: Systems with Uncertain Physical Parameters, Springer-Verlag, London, 1994.
13. B.R. Barmish, New Tools for Robustness of Linear Systems, MacMillan Publishing Company, New York, 1994.
14. S.P. Bhattacharyya, H. Chapellat, and L.H. Keel, Robust Control: The Parametric Approach, Prentice Hall PTR, New York, 1995.
15. S. Białas, Robust Stability of Polynomials and Matrices, Publishing Department of University of Mining and Metallurgy, Krakow, 2002, (in Polish).
16. M. Busłowicz, Stability of Linear Time-Invariant Systems with Uncertain Parameters, Publishing Department of Bialystok Technical University, Bialystok, 1997, (in Polish).