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Sufficient conditions on stability of interval matrices: Connections and new results. (English) Zbl 0752.15015
A quadratic real interval matrix $A\sp I$ is called stable with degree $h\ge 0$ if $\text{Re} \lambda<-h$ holds for any $A\in A\sp I$ and any eigenvalue $\lambda$ of $A$. If $h=0$ then $A\sp I$ is called stable. The paper presents several sufficient conditions for the stability behaviour of $A\sp I$. 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.

15A42Inequalities involving eigenvalues and eigenvectors
65G30Interval and finite arithmetic
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