Abstract
Due to the appearance of uncontrollable events in discrete-event systems, one may wish to replace the behavior leading to the uncontrollability of pre-specified language by some quite similar one. To capture this similarity, we introduce metric to traditional supervisory control theory and generalize the concept of original controllability to /spl lambda/-controllability, where /spl lambda/ indicates the similarity degree of two languages. A necessary and sufficient condition for a language to be /spl lambda/-controllable is provided. We then examine some properties of /spl lambda/-controllable languages and present an approach to optimizing a realization.
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