Title :
On stability of interval matrices
Author :
Sezer, M.E. ; Siljak, D.D.
Author_Institution :
Bilkent Univ., Ankara, Turkey
fDate :
2/1/1994 12:00:00 AM
Abstract :
New sufficient, and sometimes necessary and sufficient conditions, are obtained for Schur- and Hurwitz-stability of interval matrices by relying on the concept of connective stability and M-matrices. The necessity part is broadened to include interval matrices with mixed signs of the off-diagonal elements, provided the sign patterns follow that of the Morishima matrix. The obtained results are extended to cover convex combinations of interval matrices
Keywords :
matrix algebra; stability; stability criteria; M-matrices; Morishima matrix; Schur-Hurwitz stability; connective stability; dynamic systems; interval matrices; necessary conditions; off-diagonal elements; sign patterns; sufficient conditions; Adaptive control; Filtering; Kalman filters; Least squares approximation; Parameter estimation; Robust stability; Stability analysis; Stochastic processes; Stochastic systems; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
