Toward an Approximation Theory for Computerised Control
Paul Caspi
and
Albert Benveniste
EMSOFT2002, Grenoble, October 2002.
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.
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