Accession Number:

ADA136659

Title:

Stable Convex Sets of Matrices.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1983-11-01

Pagination or Media Count:

16.0

Abstract:

A subset alpha of nxn complex valued matrices is stable if all powers of all matrices from the set alpha are uniformly bounded. We show that if alpha is a bounded convex circular set which spans a stable linear subspace of matrices, then alpha is stable if the spectral radius of any a approaching alpha is bounded by 1. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE