Peer-Reviewed Journal Details
Mandatory Fields
Mason O.;Shorten R.
2005
March
Electronic Journal of Linear Algebra
The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem
Published
()
Optional Fields
Convex cones Lyapunov functions and stability Matrix equations
12
42
63
In this paper, the structure of several convex cones that arise in the study of Lyapunov functions is investigated. In particular, the cones associated with quadratic Lyapunov functions for both linear and non-linear systems are considered, as well as cones that arise in connection with diagonal and linear copositive Lyapunov functions for positive linear systems. In each of these cases, some technical results are presented on the structure of individual cones and it is shown how these insights can lead to new results on the problem of common Lyapunov function existence.
1081-3810
Grant Details