It is proved that by using bounds of eigenvalues of an interval matrix, some conditions for checking positive de niteness and stability of interval matrices can be presented. These conditions have been proved previously with various methods and now we provide some new proofs for them with a unity method. Furthermore we introduce a new necessary and sucient condition for checking stability of interval matrices.
Article Title [Persian]
A note on positive de niteness and
stability of interval matrices
Authors [Persian]
Hana Veiseh
Department of Applied Mathematics, Hamedan Branch, Islamic Azad
University, Hamedan, Iran
Abstract [Persian]
It is proved that by using bounds of eigenvalues of an interval matrix, some conditions for checking positive de niteness and stability of interval matrices can be presented. These conditions have been proved previously with various methods and now we provide some new proofs for them with a unity method. Furthermore we introduce a new necessary and sucient condition for checking stability of interval matrices.
Keywords [Persian]
Interval matrix، Real eigenvalues، Positive de niteness، stability، Symmetric matrix
References
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