Title :
A necessary and sufficient criterion for the stability of a convex set of matrices
Author :
Cohen, Nir ; Lewkowicz, Izchak
Author_Institution :
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
4/1/1993 12:00:00 AM
Abstract :
A Hurwitz stability criterion for the convex hull of two matrices, due to C.R. Johnson (1976), is generalized to the case of any compact convex set of matrices. It is shown that the same criterion is not available in the case of Schur stability
Keywords :
matrix algebra; set theory; stability criteria; Hurwitz stability criterion; compact convex set; convex hull; convex set; matrices; necessary and sufficient criterion; Control theory; Entropy; Information science; Linear approximation; Minerals; Notice of Violation; Optimal control; Petroleum; Robust stability; Stability criteria;
Journal_Title :
Automatic Control, IEEE Transactions on
