Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions

Counterexamples are given which show that a linear switched system (with controlled switching) that can be stabilized by means of a suitable switching law does not necessarily admit a convex Lyapunov function. Both continuous and discrete

• Type: Journal
• Year: 2008
• Where: AUTOMATICA
• Authors: Franco Blanchini, Carlo Savorgnan
• Keywords: AUTOMATICA 2007, AUTOMATICA 2008, Convex Lyapunov Function, Lyapunov Function, Suitable Switching Law