Row reduced representations of behaviors over finite rings


Kuijper, Margreta and Pinto, Raquel and Polderman, Jan Willem (2007) Row reduced representations of behaviors over finite rings. In: 46th IEEE Conference on Decision and Control, CDC 2007, 12-14 December 2007, New Orleans, LA, USA (pp. pp. 470-475).

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Abstract:Row reduced representations of behaviors over fields posses a number of useful properties. Perhaps the most important feature is the predictable degree property. This property allows a finite parametrization of the module generated by the rows of the row reduced matrix with prior computable bounds. In this paper we study row-reducedness of representations of behaviors over rings of the form $\mathbb{Z}_{p^r}$, where $p$ is a prime number. Using a restricted calculus within $\mathbb{Z}_{p^r}$ we derive a meaningful and computable notion of row-reducedness.
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Copyright:© 2007 IEEE
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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