Dynamical properties of Metzler systems

Bulletin of the Polish Academy of Sciences: Technical Sciences

Volumn 56, Issue 4, 2008, Pages 309-312

  Mitkowski, W ^a  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

Author keywords

Ladder and ring electrical networks; Metzler matrices; Nonnegative matrices; Positive linear systems

Indexed keywords

COMPUTER NETWORKS; LADDERS; LINEAR SYSTEMS; MATLAB; NUMERICAL ANALYSIS; TURBULENT FLOW;

DYNAMICAL PROPERTIES; METZLER MATRICES; NONNEGATIVE MATRICES; NUMERICAL CALCULATIONS; POSITIVE LINEAR SYSTEMS; SPECTRAL PROPERTIES;

DYNAMICAL SYSTEMS;

EID: 57749120584     PISSN: 02397528     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. F.R. Gantmaher, Theory of Matrix, 4 ed., Nauka, Moskwa, 1988, (in Russian).
2. H. Minc, Nonnegative Matrices, J. Wiley, New York, 1988.
3. T. Kaczorek, Positive 1D and 2D Systems, Springer, London, 2002.
4. T. Kaczorek, "Computation of realizations of discrete-time cone systems", Bull. Pol. Ac.: Tech. 54 (3), 347-350 (2006).
5. W. Mitkowski, "Remarks on stability of positive linear systems", Control and Cybernetics 29 (1), 295-304 (2000).
6. T. Kaczorek, "Positive linear systems and their relationship with electrical circuits", Proc. XX SPETO 2, 33-41 (1997).
7. T. Kaczorek, "Selected current research problems of positive 1D and 2D linear systems", Proc. XIII KKA 1, 13-22 (1999), (in Polish).
8. A. Turowicz, Theory of Matrix. 6 ed., AGH, Krakow, 2005, (in Polish).
9. W. Mitkowski, "Similar systems to the positive systems", Proc. XXIII IC-SPETO, 214-218 (2000), (in Polish).
10. W. Mitkowski, "Analysis of ladder network with boundary feedback", Bull. Pol. Ac.: Tech. 35 (11-12), 695-699 (1987).
11. W. Mitkowski, "Analysis of ring network of RL and GC type", Bull. Pol. Ac.: Tech. 40 (2), 135-138 (1992).
12. H. Górecki and A. Turowicz, "Analysis of an electric network chain with feedback", Bull. Pol. Ac.: Tech. 21, 53-61 (1973).
13. T. Schanbacher, "Aspects of positivity in control theory", SIAM J. Control and Optimization 27 (3), 457-475 (1989).