Corpus ID: 15878183

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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References

Publications referenced by this paper.
SHOWING 1-10 OF 23 REFERENCES

Models for Dynamics

VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

The dynamics of group codes: State spaces, trellis diagrams, and canonical encoders

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Introduction to commutative algebra

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

On an algebraic theory of systems defined by convolution operators

  • Edward W. Kamen
  • Mathematics, Computer Science
  • Mathematical systems theory
  • 2005
VIEW 1 EXCERPT

Some results on the structure of abelian group subshifts

  • F. Fagnani
  • To appear in Ergodic Theory and Dynamical Systems
  • 1994
VIEW 1 EXCERPT

LQ-control: a behavioral approach

  • Jan C. Willems
  • Mathematics
  • Proceedings of 32nd IEEE Conference on Decision and Control
  • 1993
VIEW 1 EXCERPT

Exact modelling and identifiability of linear systems

VIEW 1 EXCERPT