Title :
When are the complex and the real stability radii equal?
Author :
Lewkowicz, Izchak
Author_Institution :
Dept. of Electr. Eng., Technion-Israel, Haifa, Israel
fDate :
6/1/1992 12:00:00 AM
Abstract :
Characterization of those real stable matrices for which the unstructured complex and real stability radii are equal is presented. Special cases of this equality are discussed. As application of this result, it is shown that, for 2×2 matrices with nonreal eigenvalues, neither the case of equality nor the case of strict inequality is generic
Keywords :
eigenvalues and eigenfunctions; matrix algebra; stability criteria; complex stability radius; matrix algebra; nonreal eigenvalues; real stability radii; real stability radius; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Robust stability; Terrorism; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
