A note on minimality of positive realizations

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 45, Issue 6, 1998, Pages 676-677

  Benvenuti, Luca ^a   Farina, Lorenzo ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Factorization; Positive systems; Realization

Indexed keywords

MATHEMATICAL MODELS; MATRIX ALGEBRA;

FACTORIZATIONS; HANKEL MATRIX; POSITIVE LINEAR SYSTEMS;

LINEARIZATION;

EID: 0032098044     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.678491     Document Type: Article

References (9)

1. B. D. O. Anderson, M. Deistler, L. Farina, and L. Benvenuti, "Nonnegative realization of a linear system with nonnegative impulse response," IEEE Trans. Circuits Syst. I, vol. 43, pp. 134-142, 1996.
2. A. Berman and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, 2nd ed. Philadelphia, PA: SIAM, 1994.
3. L. Farina, "On the existence of a positive realization," Syst. Contr. Lett., vol. 28, pp. 219-226, 1996.
4. L. Farina and L. Benvenuti, "Positive realizations of linear systems," Syst. Contr. Lett., vol. 26, pp. 1-9, 1995.
5. J. M. van den Hof, J. H. van Schuppen, "Realization of positive linear systems using polyhedral cones," in Proc. 33rd Conf. Decision and Control Lake Buena Vista, FL, Dec. 1994, pp. 3889-3893.
6. D. G. Luenberger, "Positive linear systems," in Introduction to Dynamic Systems. New York: Wiley, 1979.
7. H. Maeda and S. Kodama, "Reachability, observability and realizability of linear systems with positive constraints," Trans. IECE, vol. 63-A, pp. 688-694, 1980.
8. Y. Ohta, H. Maeda, and S. Kodama, "Reachability, observability and realizability of continuous-time positive systems," SIAM J. Contr. Optim., vol. 22, pp. 171-180, 1984.
9. S. Rinaldi and L. Farina, Positive Linear Systems: Theory and Applications. Milan, Italy: Città Studi, 1996 (in Italian).