A note on positive de niteness and stability of interval matrices

Abstract

It is proved that by using bounds of eigenvalues of an interval matrix, some<br />conditions for checking positive de niteness and stability of interval matrices<br />can be presented. These conditions have been proved previously with various<br />methods and now we provide some new proofs for them with a unity method.<br />Furthermore we introduce a new necessary and su cient condition for checking<br />stability of interval matrices.