S-procedure - An infinite dimensional view

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

Abstract

Variants of the S-procedure provide an important tool in robust stability and robust performance design, mainly in the state space framework based on linear matrix inequalities. The aim of this paper is to formulate three classical results, the basic S-lemma, the Finsler's lemma and a variant of the full-block S-procedure, in the input output framework, i.e., in the infinite dimensional setting. While the presented results widen the scope of the applicability of these fundamental tools, they also provide a link to the theory of indefinite spaces, as an efficient framework to handle robust control problems.

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsXiaohua Xia, Edward Boje
PublisherIFAC Secretariat
Pages742-747
Number of pages6
ISBN (Electronic)9783902823625
Publication statusPublished - Jan 1 2014
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: Aug 24 2014Aug 29 2014

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume19
ISSN (Print)1474-6670

Other

Other19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
CountrySouth Africa
CityCape Town
Period8/24/148/29/14

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ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Szabó, Z. (2014). S-procedure - An infinite dimensional view. In X. Xia, & E. Boje (Eds.), 19th IFAC World Congress IFAC 2014, Proceedings (pp. 742-747). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19). IFAC Secretariat.