A note on positive de niteness and stability of interval matrices
محورهای موضوعی : Applied Mathematics
1 - Department of Applied Mathematics, Hamedan Branch, Islamic Azad
University, Hamedan, Iran
کلید واژه: Stability, Interval matrix, Real eigenvalues, Positive deniteness, Symmetric matrix,
چکیده مقاله :
It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive de niteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval matrices.
It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive de niteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval matrices.
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