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Geometrical conditions for the reachability and realizability of positive periodic discrete systems

✍ Scribed by Rafael Bru; Carmen Coll; Vicente Hernández; Elena Sánchez

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
563 KB
Volume
256
Category
Article
ISSN
0024-3795

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✦ Synopsis

Reachability and realizability of discrete-time linear systems, in which the state variable and the input are constrained to lie in the positive orthant R ~_, are studied. More precisely, a characterization of positive reachability is given in terms of certain geometrical conditions on the reachability cones. Further, it is shown that the existence of certain polyhedral cones is equivalent to positive periodic realizations. The connection between the above two kinds of cones is established.

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