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On lossless negative imaginary systems

  • Junlin Xiong*
  • , Ian R. Petersen
  • , Alexander Lanzon
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Paperpeer-review

16 Citations (Scopus)

Abstract

The paper is concerned with the notion of lossless negative imaginary systems and their stabilization using a strictly negative imaginary controller through positive feedback. Firstly, some properties of lossless negative imaginary transfer functions are studied. Secondly, a Lossless Negative Imaginary Lemma is given which establishes conditions on matrices appearing in a minimal state-space realization that are necessary and sufficient for a transfer function to be lossless negative imaginary. Thirdly, a necessary and sufficient condition is developed for the stabilization of a lossless negative imaginary system by a strictly negative imaginary controller. Finally, a numerical example is presented to illustrate the theory.

Original languageEnglish
Title of host publicationProceedings of 2009 7th Asian Control Conference, ASCC 2009
Pages824-829
Number of pages6
Publication statusPublished - 2009
Externally publishedYes
Event2009 7th Asian Control Conference - Hong Kong, China
Duration: 27 Aug 200929 Aug 2009

Publication series

NameProceedings of 2009 7th Asian Control Conference, ASCC 2009

Conference

Conference2009 7th Asian Control Conference
Abbreviated titleASCC 2009
Country/TerritoryChina
CityHong Kong
Period27/08/0929/08/09

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