منابع مشابه
A Criterion for Stability of Matrices
Ž . Let A be an n = n matrix and let s A be its spectrum. The stability Ž . Ž .4 modulus of A is s A s max Re l: l g s A , and A is said to be stable Ž . if s A 0. The stability of a matrix is related to the Routh]Hurwitz problem on the number of zeros of a polynomial that have negative real parts. Much research has been devoted to the latter. The first solution w x dates back to Sturm 21, p. 3...
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It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness 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...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1998
ISSN: 0022-247X
DOI: 10.1006/jmaa.1998.6020