About positively discrete-time singular systems

System and Control: Theory and Applications

Volumn , Issue , 2000, Pages 44-48

  Bru, Rafael ^a   Coll, Carmen ^a   Sánchez, Elena ^a  

^a Universitate Politecnica de Valencia ^*  (Spain)

Author keywords

Drazin inverse; Positive singular systems; Positively reachable; Reachability cones

Indexed keywords

ALGEBRA; FUNCTIONS; MATRIX ALGEBRA; PROBLEM SOLVING; SET THEORY; SYSTEMS ANALYSIS;

DRAZIN INVERSE; POSITIVE SINGULAR SYSTEMS; POSITIVELY REACHABLE; REACHABILITY CONES;

DISCRETE TIME CONTROL SYSTEMS;

EID: 4944258361     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Article

References (9)

1. A. Berman and R.J. Plemmons. Nonnegative Matrices in the Mathematical Science, Academic Press, New York 1979.
2. R. Bru, S. Romero and E. Sanchez, Canonical Forms for Positive Discrete-Time Linear Systems, Linear Algebra and its Applications, 2000, to appear.
3. P.G. Coxson and H. Shapiro, Positive Reachability and Controllability of Positive Systems, Linear Algebra and its Applications, Vol. 94, 1987, pp. 35-53.
4. L. Dai, Singular Control Systems, Springer-Verlag, New York 1989.
5. T. Kaczorek, Linear Control Systems, John Wiley&Sons, New York 1992.
6. M. Neumann and R. Stern, Boundary Results for Positively Invariant Cones and their Rechability Cones. Linear and Multilinear Algebra, Vol. 17, 1985, pp. 143-154.
7. V. G. Rumchev and D.J.G. James, Controllability of Positive Linear Discrete Time Systems International Journal of Control, Vol.50, 1989, pp. 845-857.
8. S. Tarbouriech and E. B. Castelan, Positively invariant sets for singular discrete-time systems. International Journal Systems Science, Vol. 24,. No. 9, 1993, pp. 1687-1705.
9. E. Valcher, Controllability and reachability criteria for discrete-time positive system. International Journal of Control, Vol. 65, No. 3, 1996, pp. 511-536.