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Minimum lag descriptions and minimal Gröbner bases

✍ Scribed by Jeffrey Wood; Eric Rogers; David H Owens

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
111 KB
Volume
34
Category
Article
ISSN
0167-6911

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✦ Synopsis

We generalize the concept of a minimum lag description to multidimensional autoregressive discrete systems. We show that our deÿnition is equivalent to the property that the rows of the representation matrix form a minimal Gr obner basis. In the 1D case, the new deÿnition is strictly stronger than that of Willems, but yields the same minimum lags.

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