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Symmetric Positivity Preserving Balanced Truncation

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Author

  • Christian Grussler
  • Tobias Damm

Editor

  • Gesellschaft für Angewandte Mathematik und Mechanik (GAMM)

Summary, in English

We consider positivity preserving model order reduction of SISO linear systems. Whereas well-established model reduction methods usually do not result in a positive approximation, we show that a symmetry characterization of balanced truncation can be used to preserve positivity after performing balanced truncation. As a consequence, the method is independent of the initial realization and always returns a symmetric reduced model.

Publishing year

2012

Language

English

Publication/Series

PAMM

Document type

Conference paper

Publisher

John Wiley & Sons Inc.

Topic

  • Control Engineering

Keywords

  • Positive System
  • Balanced Truncation

Conference name

83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics

Conference date

2012-03-26

Conference place

Darmstadt, Germany

Status

Inpress

Project

  • LCCC

Research group

  • LCCC