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Discrete-event dynamic systems: The strictly convex case (1995)

Cuninghame-Green, R. A. ; Butkovič, P.

Springer

Annals of operations research 57 (1995), S. 45-63

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ISSN: 1572-9338

Keywords: Discrete dynamic systems ; max-algebra

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Economics

Notes: Abstract Given the observed outputg j of a discrete-event system, a classical problem is to find a matrix realisationg j =cA jb withA of least possible dimension. When the sequenceg j 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02099690

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