# Linear systems over Noetherian rings in the behavioural approach

@inproceedings{Zampieri1994LinearSO, title={Linear systems over Noetherian rings in the behavioural approach}, author={Sandro Zampieri and Sanjoy K. Mitter and Decision Systems.}, year={1994} }

In this paper the properties of linear systems in the behavioural approach are analyzed in the case when the alphabet set is a nitely generated module over a Noetherian ring. This study is motivated by some possible applications to the theory of convolutional codes and of parametrized systems. The rst class of systems that is considered is the class of controllable systems. Controllable systems admit a nice image representation and this seems to be of some use for the theory of convolutional… CONTINUE READING

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## CLASSIFICATION PROBLEMS FOR SHIFTS ON MODULES OVER A PRINCIPAL IDEAL DOMAIN

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## System-theoretic properties of convolutional codes over rings

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