Controllability of linearized systems implies local finite-time stabilizability: applications to finite-time attitude control

On the logarithmic stability estimates of non-autonomous systems: applications to control systems

“…For this, taking the change of variables [25]: (67) controllability of the linearized system and the local stabilizability by means of static state feedback laws is solved by Kalman theory, see for example, [7,29] and several extension to the local finite-time stabilizability was given in [6,3,15,22] and references therein. In this section, it seems an attractive idea to study the links between the controllability of the linearized system and the logarithmic stabilizability.…”