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Annals of Operations Research

, Volume 57, Issue 1, pp 45–63 | Cite as

Discrete-event dynamic systems: The strictly convex case

  • R. A. Cuninghame-Green
  • P. Butkovič
Article

Abstract

Given the observed outputgj of a discrete-event system, a classical problem is to find a matrix realisationgj =cAjb withA of least possible dimension. When the sequencegj is convex and ultimately 1-periodic, a linear-time algorithm suffices to construct such a realisation over the algebra (R, max, +). When the transient is strictly convex, this realisation is minimal-dimensional.

Keywords

Discrete dynamic systems max-algebra 

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Copyright information

© J.C. Baltzer AG, Science Publishers 1995

Authors and Affiliations

  • R. A. Cuninghame-Green
    • 1
  • P. Butkovič
    • 1
  1. 1.School of Mathematics and StatisticsThe University of BirminghamBirminghamUnited Kingdom

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