CUED Publications database

Conal Distances Between Rational Spectral Densities

Sepulchre, RJC and Baggio, G and Ferrante, A (2019) Conal Distances Between Rational Spectral Densities. IEEE Transactions on Automatic Control, 64. pp. 1848-1857. ISSN 0018-9286 (Unpublished)

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This paper generalizes Thompson and Hilbert metrics to the space of spectral densities. The resulting complete metric space has the differentiable structure of a Finsler manifold with explicit geodesics. The corresponding distances are filtering invariant, can be computed efficiently, and admit geodesic paths that preserve rationality; these are properties of fundamental importance in many engineering applications.

Item Type: Article
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 23 Jul 2018 20:06
Last Modified: 24 Aug 2021 02:53
DOI: 10.1109/TAC.2018.2855114