This paper is concerned with the ultimate boundedness problem of non-autonomous complex networks with different dynamical nodes by using the impulsive control method. Some ultimate boundedness and asymptotical stability criteria for the non-autonomous complex networks with different dynamical nodes under impulsive control are obtained by using Lyapunov functions.
The results show that not only unstable systems can be stable under impulsive control but also unbounded systems can be bounded under impulsive control. An example is also discussed to illustrate the effectiveness of the obtained results.