Toward an Approximation Theory for Computerised Control

  • Authors:
  • Paul Caspi;Albert Benveniste

  • Affiliations:
  • -;-

  • Venue:
  • EMSOFT '02 Proceedings of the Second International Conference on Embedded Software
  • Year:
  • 2002

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Abstract

This paper addresses the question of extending the usual approximation and sampling theory of continuous signals and systems to those encompassing discontinuities, such as found in modern complex control systems (mode switches for instance). We provide some evidence that the Skorokhod topology is a good candidate for dealing with those cases in a uniform manner by showing that, in the boolean case, Skorokhod uniformly continuous signals are exactly the signals with uniform bounded variability.