Elimination lemma and contractive extensions

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The Elimination lemma provides analysis conditions that constitute a fundamental tool in obtaining state space solutions of robust control design problems. Using operator theoretical concepts, the paper provides a derivation of the Elimination lemma based on a contractive extension principle and to give a Krein space geometric interpretation of the result. In this way the statement of the lemma is related to general techniques, like interpolation and commutant lifting theory. This result is considered to be an initial step in the control relevant formulation of the lemma in an infinite dimensional setting.

Original languageEnglish
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3049-3054
Number of pages6
ISBN (Print)9781467357173
DOIs
Publication statusPublished - Jan 1 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: Dec 10 2013Dec 13 2013

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period12/10/1312/13/13

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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  • Cite this

    Szabó, Z., Biró, Z., Gáspár, P., & Bokor, J. (2013). Elimination lemma and contractive extensions. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 3049-3054). [6760347] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760347