Conditions on the boundary of the zero set and application to stabilization of systems with uncertainty

Gila Fruchter, Uri Srebro, Ezra Zeheb

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We describe an analytic method for finding the location of the zero set of a vector-valued function which depends on m real variables and n complex parameters. We apply the method to robust stabilization of multivariable linear feedback systems. We find exact measures of the extent of permissible perturbations in the plant and/or the compensator that maintain feedback stability.

Original languageEnglish
Pages (from-to)148-175
Number of pages28
JournalJournal of Mathematical Analysis and Applications
Volume161
Issue number1
DOIs
StatePublished - Oct 1991
Externally publishedYes

Bibliographical note

Funding Information:
l Present address: The Dept. of Aerospace, University ofcalifornia Los Angeles, Los Angeles, CA 90024. ’ The second and third authors’ work was supported in part by the Technion Fund for the Promotion of Research. The second author acknowledges the H. Kieval Research Fund.

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