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The dynamic feedback equivalence over principal ideal domains

✍ Scribed by Jose A. Hermida-Alonso; M.T. Trobajo


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
116 KB
Volume
368
Category
Article
ISSN
0024-3795

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✦ Synopsis


We show that, over a principal ideal domain, the dynamic feedback equivalence for (not necessarily reachable) linear systems is reduced to the feedback equivalence for one-augmented systems. We also obtain the dynamic feedback classification for two-dimensional linear systems.


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Let Z βŠ† R be a subgroup of the rationals and (S; ≀) a ΓΏnite poset. In this paper we introduce the category Rep(S; R) of homogeneous completely decomposable groups H of type R with distinguished homogeneous completely decomposable subgroups H i (i ∈ S) of the same type, respecting the order of S, i.e