In this paper, we provide a sufficient condition for the global stability of a periodic orbit using the contraction mapping theorem. The condition is obtained by identifying an invariant set of the system dynamics in which the Poincaré map is continuous and contractive. An upper bound on the norm of the derivative of the map is obtained by exploiting its geometric structure.
|Original language||English (US)|
|Number of pages||5|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - Dec 2000|