Abstract:
A result on the necessary and sufficient conditions for almost everywhere stability of an invariant set in continuous-time dynamical systems is presented. It is shown tha...Show MoreMetadata
Abstract:
A result on the necessary and sufficient conditions for almost everywhere stability of an invariant set in continuous-time dynamical systems is presented. It is shown that the existence of a Lyapunov density is equivalent to the almost everywhere stability of an invariant set. Furthermore, such a density can be obtained as the positive solution of a linear partial differential equation analogous to the positive solution of Lyapunov equation for stable linear systems.
Published in: 2007 46th IEEE Conference on Decision and Control
Date of Conference: 12-14 December 2007
Date Added to IEEE Xplore: 21 January 2008
ISBN Information:
Print ISSN: 0191-2216