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Sufficient conditions on stability of interval matrices: Connections and new results. (English) Zbl 0752.15015

A quadratic real interval matrix A I is called stable with degree h0 if Reλ<-h holds for any AA I and any eigenvalue λ of A. If h=0 then A I is called stable.

The paper presents several sufficient conditions for the stability behaviour of A I . Their proofs are reduced to Gershgorin’s theorem and an extension of it. The conditions generalize a few criteria of other authors and the proofs help to find out some connections between these criteria.

MSC:
15A42Inequalities involving eigenvalues and eigenvectors
65G30Interval and finite arithmetic