Global stabilization for systems evolving on manifolds
We show that any globally asymptotically controllable system on any smooth manifold can be globally stabilized by a state feedback. Since we allow discontinuous feedbacks, we interpret the solutions of our systems in the "sample and hold" sense introduced by Clarke, Ledyaev, Sontag, and Subbotin (CLSS). We generalize their theorem which is the special case of our result for systems on Euclidean space. We apply our result to the input-to-state stabilization of systems on manifolds with respect to actuator errors, under small observation noise. © Springer Science+Business Media, Inc. 2006.
Publication Source (Journal or Book title)
Journal of Dynamical and Control Systems
Malisoff, M., Krichman, M., & Sontag, E. (2006). Global stabilization for systems evolving on manifolds. Journal of Dynamical and Control Systems, 12 (2), 161-184. https://doi.org/10.1007/s10450-006-0379-x