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.

Funding

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.

FundersFunder number
H. Kieval Research Fund
Technion Fund for the Promotion of Research

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