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Discrete multidimensional systems over [formula omitted]

Authors
Journal
Systems & Control Letters
0167-6911
Publisher
Elsevier
Publication Date
Volume
56
Identifiers
DOI: 10.1016/j.sysconle.2007.06.002
Keywords
  • Multidimensional Discrete Linear Shift-Invariant Systems
  • Systems Over Rings
  • Behavioral Approach
  • Algebraic Methods
  • Structural Properties
  • Controllability

Abstract

Abstract We generalize the theory of multidimensional, discrete, linear, shift-invariant systems from the well-investigated case in which the signals take their values in a field, to the situation where these values belong to a finite ring of the form Z / n Z . Some basic systems theoretic properties are studied and characterized: autonomy, input–output decompositions, controllability, and observability.

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