Impulsive control of a nuclear spin generator

In this paper, several new theorems on the stability of impulsive control systems are presented. These theorems are then used to find the conditions under which the nuclear spin generator can be asymptotically controlled to the equilibrium point by using impulsive control. Given the parameters of the nuclear spin generator and the impulsive control law, we also present a theory of impulsive synchronization of two nuclear spin generators. Moreover, a larger upper bound of impulsive intervals for the stabilization and synchronization can be obtained.