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[Keyword] real eigenvalues(1hit)

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  • Eigenvalue Bounds for a Certain Class of Interval Matrices

    Takehiro MORI  Hideki KOKAME  

     
    LETTER-Control and Computing

      Vol:
    E77-A No:10
      Page(s):
    1707-1709

    It is shown that for a class of interval matrices we can estimate the location of eigenvalues in a very simple way. This class is characterized by the property that eigenvalues of any real linear combination of member matrices are all real and thus includes symmetric interval matrices as a subclass. Upper and lower bounds for each eigenvalue of such a class of interval matrices are provided. This enables us to obtain Hurwitz stability conditions and Schur ones for the class of interval matrices and positive definiteness conditions for symmetric interval matrices.