Equivalence of a behavioral distance and the gap metric
Ball, J. & Sasane, A. J.
(2004).
Equivalence of a behavioral distance and the gap metric.
(CDAM research report series LSE-CDAM-2004-17).
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
(2004).
Equivalence of a behavioral distance and the gap metric.
(CDAM research report series LSE-CDAM-2004-17).
Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science.
In this note it is shown that the topology of the gap metric is precisely the topology induced by the behavioral distance introduced in [10], when restricted to the class of stable state space systems with a fixed MacMillan degree.