Diagonal Stability and Completely Positive Matrices

Published: Oct. 16, 2011, 11 p.m.

Speaker:\n\nProf. A. Berman\n\n\nAbstract:\n\nIn this paper a general notion of common diagonal Lyapunov matrix is formulated for a collection of n\xd7n matrices A_1,...,A_s and polyhedral cones k_1,...,k_s in R^n. Necessary and sufficient conditions are derived for the existence of a common diagonal Lyapunov matrix in this setting.\r\rThis talk is based on joint work with Christopher King & Robert Shorten.