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A tractable second-order cone certificate for external positivity with application to model order reduction

Grussler, C and Rantzer, A A tractable second-order cone certificate for external positivity with application to model order reduction. (Unpublished)

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Abstract

For linear time-invariant systems, a tractable certificate of external positivity based on second-order cones is presented. Further, we show how balanced truncation can be modified to preserve second-order cone invariance, which together with our certificate can be made into an external positivity preserving model reduction method. This method consistently yields better reduced models than approaches that intend to preserve internal positivity.

Item Type: Article
Uncontrolled Keywords: math.OC math.OC 78M34, 93C05, 93B11
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 27 Jun 2019 01:18
Last Modified: 24 Oct 2019 13:36
DOI: