Externally and internally positive singular discrete-time linear systems
Kaczorek, Tadeusz
International Journal of Applied Mathematics and Computer Science, Tome 12 (2002), p. 197-202 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:207579 
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     title = {Externally and internally positive singular discrete-time linear systems},
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     year = {2002},
     pages = {197-202},
     zbl = {1140.93420},
     language = {en},
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Kaczorek, Tadeusz. Externally and internally positive singular discrete-time linear systems. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) pp. 197-202. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv12i2p197bwm/

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