Title :
Sufficient conditions on stability of interval matrices: connections and new results
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fDate :
4/1/1992 12:00:00 AM
Abstract :
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.<>
Keywords :
matrix algebra; stability; Gershgorin´s theorem; interval matrices; nonsingular M-matrices; stability; sufficient conditions; Aerospace engineering; Eigenvalues and eigenfunctions; Stability analysis; Sufficient conditions; Testing; Yield estimation;
Journal_Title :
Automatic Control, IEEE Transactions on
