Sayed, Ali H. and Hassibi, Babak and Kailath, Thomas (1995) Fundamental inertia conditions for the solution of H^∞-problems. In: Proceedings of the 1995 American Control Conference. Vol.6. IEEE , Piscataway, NJ, pp. 4389-4393. ISBN 0-7803-2445-5. https://resolver.caltech.edu/CaltechAUTHORS:20150219-071332166
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Abstract
We study the relation between the solutions of two minimization problems with indefinite quadratic forms. We show that a complete link between both solutions can be established by invoking a fundamental set of inertia conditions. While these inertia conditions are automatically satisfied in a standard Hilbert space setting, they nevertheless turn out to mark the differences between the two optimization problems in indefinite metric spaces. They also include, as special cases, the well-known conditions for the existence of H^∞-filters and controllers.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 1995 IEEE. This work was supported in part by a Research Initiation Award from the National Science Foundation under award no. MIP-9409319, and by the Army Research Office under contract DAAL03-89-K-0109 | |||||||||
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| DOI: | 10.1109/ACC.1995.532764 | |||||||||
| Record Number: | CaltechAUTHORS:20150219-071332166 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150219-071332166 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 54970 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Shirley Slattery | |||||||||
| Deposited On: | 03 Mar 2015 02:37 | |||||||||
| Last Modified: | 10 Nov 2021 20:39 |
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