State models and asymptotic behaviour of 2D positive systems |
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Authors: | VALCHER MARIA ELENA; FORNASINI ETTORE |
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Institution: |
Dipartimento di Elettronica ed Informatica, Univ. di Padova via Gradenigo 6a, 35131 Padova, Italy
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Abstract: | Homogeneous 2D positive systems are 2D state-space models whosevariables are alwalys nonnegative and, consequently, are describedby a pair of nonnegative square matrices (A, B). In the paper,the properties of these pairs are discussed both in the generalcase and under particular assumptions like finite memory, separability,and property L. Various aspects of the positive asymptotic dynamic are considered;in particular, sufficient conditions are provided guaranteeingthat the local states are eventually strictly positive. Finally,some results on the convergence of the states towards a constantasymptotic distribution are presented. |
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