Packard, Andy and Doyle, John (1990) Quadratic stability with real and complex perturbations. IEEE Transactions on Automatic Control, 35 (2). pp. 198-201. ISSN 0018-9286. doi:10.1109/9.45179. https://resolver.caltech.edu/CaltechAUTHORS:20190313-100417671
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Published Version
See Usage Policy. 290kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20190313-100417671
Abstract
It is shown that the equivalence between real and complex perturbations in the context of quadratic stability to linear, fractional, unstructured perturbations does not hold when the perturbations are block structured. For a limited class of problems, quadratic stability in the face of structured complex perturbations is equivalent to a particular class of scaled norms, and hence appropriate synthesis techniques, coupled with diagonal constant scalings, can be used to design quadratically stable systems.
| Item Type: | Article | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| ||||||||||
| ORCID: |
| ||||||||||
| Additional Information: | © 1990 IEEE. Manuscript received November 28, 1988. This work was supported by Honeywell SRC, AFOSR, ONR, and NASA. The authors would like to acknowledge K. Zhou, P. Khargonekar, and K. Poolla for helpful discussions. | ||||||||||
| Funders: |
| ||||||||||
| Issue or Number: | 2 | ||||||||||
| DOI: | 10.1109/9.45179 | ||||||||||
| Record Number: | CaltechAUTHORS:20190313-100417671 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190313-100417671 | ||||||||||
| Official Citation: | A. Packard and J. Doyle, "Quadratic stability with real and complex perturbations," in IEEE Transactions on Automatic Control, vol. 35, no. 2, pp. 198-201, Feb. 1990. doi: 10.1109/9.45179 | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 93767 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | Tony Diaz | ||||||||||
| Deposited On: | 13 Mar 2019 18:08 | ||||||||||
| Last Modified: | 16 Nov 2021 17:00 |
Repository Staff Only: item control page
