A note on positive de niteness and stability of interval matrices

Theory of Approximation and Applications

مقاله 9، دوره 9، شماره 2، اسفند 2015، صفحه 151-158   

نوع مقاله: Research Articles

نویسنده

H Veiseh^*

Department of Applied Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

چکیده

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.

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