Diagonal Stability and Completely Positive Matrices

Speaker

Prof. A. Berman

Duration

39:33

Date

17 October 2011

Abstract

In this paper a general notion of common diagonal Lyapunov matrix is formulated for a collection of n×n 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.

This talk is based on joint work with Christopher King & Robert Shorten.

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