Title :
Explicit formulas for stability radii of nonnegative and Metzlerian matrices
Author :
Shafai, B. ; Chen, J. ; Kothandaraman, M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
fDate :
2/1/1997 12:00:00 AM
Abstract :
We address stability issues pertaining to uncertain nonnegative and Metzlerian matrices. The problem under consideration is the computation of the stability radius when matrix perturbations are both unstructured and structured. We show that the stability radius can be obtained in the former case by computing the largest singular value of a constant matrix and in the latter case by computing the spectral radius of a constant matrix
Keywords :
continuous time systems; discrete time systems; matrix algebra; perturbation techniques; stability; stability criteria; Metzlerian matrix; constant matrix; continuous time systems; discrete time systems; matrix perturbations; nonnegative matrix; singular value; stability radius; Robust stability; Stability analysis; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
