Quadratic separators in the input-output setting

Z. Szabó, Zs Biró, J. Bokor

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

2 Citations (Scopus)

Abstract

The paper provides a formulation of the quadratic separator result in a fairly general input-output operator framework and it focuses on the specific points that are different compared to the usual finite dimensional formulations. The major contribution of the paper is to emphasize the role of the causality in obtaining the stability result having a quadratic separator and the fact that the plant and the boundedness constant in the formulation of the well-posedness condition determine the robust stability domain associated to the given plant, i.e., the set of those systems {κ} that stabilizes the given plant and produce the given "disturbance rejection" level γ. Concerning the causality issue the necessity of the homotopy argument in the IQC results is also explained and its relation with a general result concerning nest algebras is pointed out.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1756-1761
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

Separator
Separators
Disturbance rejection
Output
Causality
Algebra
Formulation
Nest Algebra
Disturbance Rejection
Robust Stability
Well-posedness
Homotopy
Boundedness
Operator
Robust stability

ASJC Scopus subject areas

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

Cite this

Szabó, Z., Biró, Z., & Bokor, J. (2013). Quadratic separators in the input-output setting. In Proceedings of the IEEE Conference on Decision and Control (pp. 1756-1761). [6760136] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760136

Quadratic separators in the input-output setting. / Szabó, Z.; Biró, Zs; Bokor, J.

Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., 2013. p. 1756-1761 6760136.

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

Szabó, Z, Biró, Z & Bokor, J 2013, Quadratic separators in the input-output setting. in Proceedings of the IEEE Conference on Decision and Control., 6760136, Institute of Electrical and Electronics Engineers Inc., pp. 1756-1761, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 12/10/13. https://doi.org/10.1109/CDC.2013.6760136
Szabó Z, Biró Z, Bokor J. Quadratic separators in the input-output setting. In Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc. 2013. p. 1756-1761. 6760136 https://doi.org/10.1109/CDC.2013.6760136
Szabó, Z. ; Biró, Zs ; Bokor, J. / Quadratic separators in the input-output setting. Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., 2013. pp. 1756-1761
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