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On Constructing a Metric on a Dominating Cone. I

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Abstract

The notion of a pseudometric on a dominating cone is introduced, which allows to compare elements of the cone quantitatively. This metric is a generalization of the metric in pseudoeuclidean spaces in the case when the pseudoball is not a hyperboloid but a convex subset with a certain stability property with respect to the dominating cone.

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  1. Institute for Systems Analysis, Russian Academy of Sciences, Moscow, Russia

    A. I. Propoi

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  1. A. I. Propoi
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Propoi, A.I. On Constructing a Metric on a Dominating Cone. I. Automation and Remote Control 65, 577–586 (2004). https://doi.org/10.1023/B:AURC.0000023534.58181.60

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  • DOI: https://doi.org/10.1023/B:AURC.0000023534.58181.60

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