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

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.
Item Type:	Conference or Workshop Item
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematical Systems and Control Theory (MSCT)
Link to this item:	http://purl.utwente.nl/publications/66703
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