Abstract：A sufficient condition is derived under which the unstable equilibrium point of the advertising strategy can be stabilized by advertising control at discrete moments, and a theorem on the stability of impulsive control system is derived. Through an improved sufficient condition, one upper bound of impulsive intervals can be obtained, thus the realization of this impulsive control is simpler; and the conclusion on global exponential stability and global asymptotical stability can be derived. The result is proved to be efficient through simulation with Matlab.
2009, Vol. 30 
