Elimination lemma and contractive extensions

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

1 Citation (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 publicationProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3049-3054
Number of pages6
ISBN (Print)9781467357173
DOIs
Publication statusPublished - 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: Dec 10 2013Dec 13 2013

Other

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

Fingerprint

Robust control
Elimination
Lemma
Interpolation
Krein Space
Extension Principle
Commutant
Robust Design
Robust Control
Control Design
State Space
Interpolate
Formulation
Operator

ASJC Scopus subject areas

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

Cite this

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

Elimination lemma and contractive extensions. / Szabó, Z.; Biró, Z.; Gáspár, P.; Bokor, J.

Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., 2013. p. 3049-3054 6760347.

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

Szabó, Z, Biró, Z, Gáspár, P & Bokor, J 2013, Elimination lemma and contractive extensions. in Proceedings of the IEEE Conference on Decision and Control., 6760347, Institute of Electrical and Electronics Engineers Inc., pp. 3049-3054, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 12/10/13. https://doi.org/10.1109/CDC.2013.6760347
Szabó Z, Biró Z, Gáspár P, Bokor J. Elimination lemma and contractive extensions. In Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc. 2013. p. 3049-3054. 6760347 https://doi.org/10.1109/CDC.2013.6760347
Szabó, Z. ; Biró, Z. ; Gáspár, P. ; Bokor, J. / Elimination lemma and contractive extensions. Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., 2013. pp. 3049-3054
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