Geodesic
Externally and internally positive singular discrete-time linear systems
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 2, pp. 197-202.

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Notions of externally and internally positive singular discrete-time linear systems are introduced. It is shown that a singular discrete-time linear system is externally positive if and only if its impulse response matrix is non-negative. Sufficient conditions are established under which a single-output singular discrete-time system with matrices in canonical forms is internally positive. It is shown that if a singular system is weakly positive (all matrices E, A, B, C are non-negative), then it is not internally positive.
Keywords: externally, internally, positive, singular, linear, system
Mots-clés : elektrotechnika 
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Kaczorek, T. Externally and internally positive singular discrete-time linear systems. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) no. 2, pp. 197-202. http://geodesic.mathdoc.fr/item/IJAMCS_2002_12_2_a5/