Autonomicity and the absence of free variables for behaviors over finite rings


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Kuijper, M. and Pinto, R. and Polderman, J.W. and Rocha, P. (2006) Autonomicity and the absence of free variables for behaviors over finite rings. In: Proceedings of the Portuguese Conference on Automatic Control 2006, 11-13 July 2006, Lisbon.

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Abstract:The equivalence between autonomicity and the absence of free variables is a well-known result for linear, shift-invariant and complete behaviors over a field. However, this no longer holds for a behavior that does not satisfy one of those properties. In this paper we consider linear, shift-invariant and complete behaviors over $\mathbb{Z}_{p^r}$ and study under which conditions such behaviors are autonomous and/or have no free variables.
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/66703
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