  This paper presents novel controllers that yield finite-time stability for
linear systems. We first present a sufficient condition for the origin of a
scalar system to be finite-time stable. Then we present novel finite-time
controllers based on vector fields and barrier functions to demonstrate the
utility of this geometric condition. We also consider the general class of
linear controllable systems, and present a continuous feedback control law to
stabilize the system in finite time. Finally, we present simulation results for
each of these cases, showing the efficacy of the designed control laws.
