Title :
Stability of interval matrices: the real eigenvalue case
Author_Institution :
Dept. of Appl. Math., Charles Univ., Prague, Czechoslovakia
fDate :
10/1/1992 12:00:00 AM
Abstract :
C.V. Hollot and A.C. Bartlett (1987) showed that testing at most 2 to the n2 certain matrices for stability is sufficient for verifying stability of an n×n interval matrix with real eigenvalues. It is proven that this upper bound can be reduced to 22n-1, and a special case where testing only two matrices is needed is considered
Keywords :
eigenvalues and eigenfunctions; matrix algebra; stability criteria; interval matrix; matrix algebra; real eigenvalues; stability; upper bound; Artificial intelligence; Computer aided software engineering; Eigenvalues and eigenfunctions; Geometry; Mathematics; Polynomials; Stability; Testing; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on