Diagonal Stability and Completely Positive Matrices

Published: Oct. 17, 2011, midnight

b'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.'