Abstract : A necessary and sufficient condition of stability (stabilizability) of nonlinear homogeneous (control) system is obtained using a topological equivalence of asymptotically stable homogeneous system to a quadratically stable one.
Andrey Polyakov. Quadratic-like Stability of Nonlinear Homogeneous Systems. 56th IEEE Conference on Decision and Control, Dec 2017, Mebourne, Australia. ⟨hal-01525252v2⟩