Centre for Discrete and Applicable Mathematics

 CDAM Research Report, LSE-CDAM-2004-17

November 2004

Equivalence of a behavioral distance and the gap metric

Joseph A. Ball and Amol J. Sasane


In this note it is shown that the topology of the gap metric is precisely the topology induced by the behavioral distance introduced in Sasane (Distance between behaviours, International Journal of Control, 76:1214-1223, 2003), when restricted to the class of stable state space systems with a fixed MacMillan degree.

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