On Brockett's Necessary Condition for Stabilizability and the Topology of Liapunov Functions on R$^n$
On Brockett's Necessary Condition for Stabilizability and the Topology of Liapunov Functions on R$^n$
In [2], Roger Brockett derived a necessary condition for the existence of a feedback control law asymptotically stabilizing an equilibrium for a given nonlinear control system.The intuitive appeal and the ease with which it can be applied have made this criterion one of the standard tools in the study of …