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Analysis of implicitly defined systems

Paganini, Fernando and Doyle, John (1994) Analysis of implicitly defined systems. In: Proceedings of 1994 33rd IEEE Conference on Decision and Control. Vol.4. IEEE , Piscataway, NJ, pp. 3673-3678. ISBN 0-7803-1968-0. https://resolver.caltech.edu/CaltechAUTHORS:20190318-103730568

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Abstract

An alternative paradigm is considered for robustness analysis, where systems are described in implicit form. The central role in this formulation is played by equations rather than input-output maps. The framework for robust stability analysis is appropriately extended, and a necessary and sufficient condition is proved for the case of arbitrary structured norm bounded perturbations. Finally, the constant matrix version of this framework is considered, leading to an extension of the structured singular value µ; the corresponding upper bound theory is developed fully.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.1994.411726DOIArticle
ORCID:
AuthorORCID
Doyle, John0000-0002-1828-2486
Additional Information:© 1994 IEEE. The authors would like to thank Raff D'Andrea and A. Megretsky for numerous helpful discussions. We acknowledge AFOSR and NSF as funders of this work.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
NSFUNSPECIFIED
Record Number:CaltechAUTHORS:20190318-103730568
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190318-103730568
Official Citation:F. Paganini and J. Doyle, "Analysis of implicitly defined systems," Proceedings of 1994 33rd IEEE Conference on Decision and Control, Lake Buena Vista, FL, USA, 1994, pp. 3673-3678 vol.4. doi: 10.1109/CDC.1994.411726
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93918
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 Mar 2019 17:53
Last Modified:03 Oct 2019 20:59

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