Controllability and reachability criteria for discrete time positive systems

International Journal of Control

Volumn 65, Issue 3, 1996, Pages 511-536

  Valcher, Maria Elena ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROLLABILITY; GRAPH THEORY; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; STABILITY CRITERIA;

DISCRETE TIME POSITIVE SYSTEMS; SYSTEM REACHABILITY;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0030257917     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179608921708     Document Type: Article

References (15)

1. Berman, A., and Plemmons, R. J., 1979, Nonnegative Matrices in the Mathematical Sciences (Academic Press).
2. Boothby, W., 1982, Some comments on positive orthant controllability of bilinear systems. SIAM Journal of Control and Optimization, 20, 634-644.
3. Brualdi, R. A., and Ryser, H. J., 1991, Combinatorial Matrix Theory (Cambridge University Press).
4. Coxson, P. G., and Shapiro, H., 1987, Positive reachability and controllability of positive systems. Linear Algebra Applications, 94, 35-53.
5. Fanti, M. P., Maione, B., and Turchiano, B., 1989, Controllability of linear single-input positive discrete time systems. International Journal of Control, 80, 2523-2542.
6. Fanti, M.P., Maione, B., and Torchiano, B., 1990, Controllability of multi-input positive discrete time systems. International Journal of Control, 51, 1295-1308.
7. Johnson, C. R., Mehrmann, V., and OLESKY, D. D., 1993, Sign controllability of a nonnegative matrix and a positive vector. SIAM Journal Matrix Analysis Applications, 14, 398-407.
8. Luenberger, D. G., 1979, Introduction to Dynamical Systems (Wiley).
9. Maeda, H., and Kodama, S., 1981, Positive realization of difference equation. IEEE Transactions on Circuits and Systems, 28, 39-47.
10. Minc, H., 1988, Nonnegative Matrices (Wiley).
11. Nieuwenhuis, J. W., 1982, About nonnegative realizations. Systems and Control Letters, 1, 283-287.
12. Ohta, Y., Maeda, H., and Kodama, S., 1984, Reachability, observability and realizability of continuous-time positive systems. SIAM Journal of Control Optimization, 22, 171-180.
13. Rumchev, V. G., and James, D. J. G., 1989, Controllability of positive linear discrete time systems. International Journal of Control, 80, 845-857.
14. Rumchev, V. G., and Foulds, L. R., 1995, On the combinatorial properties of reachable positive single-input systems. Proceedings of 12th International Conference on Systems Science-I: Systems Theory and Control (Wroclaw, Poland: Technical University of Wroclaw).
15. Rumchev, V. G., and James, D. J. G., 1995, Oscillatory behaviour of controllable single-input single-output positive linear discrete-time systems. IMA Journal of Mathematical Control & Information, 12, 235-243.