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Title: Minimal Differential Difference Realizations of Delay Differential, Differential Difference, and Neutral Delay Systems
Authors:
Award ID(s):
1739990 1935453
Publication Date:
NSF-PAR ID:
10208497
Journal Name:
IEEE Control Systems Letters
Volume:
5
Issue:
4
Page Range or eLocation-ID:
1471 to 1476
ISSN:
2475-1456
Sponsoring Org:
National Science Foundation
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  1. Multivariate dimension polynomials associated with finitely generated differential and difference field extensions arise as natural generalizations of the univariate differential and difference dimension polynomials. It turns out, however, that they carry more information about the corresponding extensions than their univariate counterparts. We extend the known results on multivariate dimension polynomials to the case of difference-differential field extensions with arbitrary partitions of sets of basic operators. We also describe some properties of multivariate dimension polynomials and their invariants.