Sufficient conditions on stability of interval matrices:connections and new results

The stability properties of interval matrices are discussed. Sufficient conditions are given for these properties based upon Gershgorin's theorem and its extension, and they are shown to improve previous results. The derivation helps clarify relations between certain previously available results and shows they can be derived using Gershgorin's theorem. Furthermore, the problem of determining the stability of interval matrices is related to that of characterizing certain nonsingular M-matrices