Deterministic Systems

Approximation of a metric on a dominating cone

A. I. Propoi

Institute of Systems Analysis, Russian Academy of Sciences

Abstract: A theorem on the representation of a pseudoball of a dominating cone is proven. This theorem is an analog of the Caratheodory theorem on the representation of convex sets. The theorem allows to develop numerical methods for quantitative evaluation of systems in many indicators.

Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 18.12.2003

 English version: Automation and Remote Control, 2004, 65:8, 1231–1239

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