Spatiotemporal combination synchronization of different nonlinear objects

In this paper, a kind of spatiotemporal combination synchronization between two drive systems (networks) and one spatiotemporal response system is investigated by means of active sliding mode design. In particular, we divide the spatiotemporal spaces into two parts, which are loaded in networks and systems, respectively. According to active sliding mode design method, we design the controllers, which are added to different regions of the spatiotemporal spaces. Then, the analytic result of spatiotemporal combination synchronization is obtained. Finally, some numerical results are established to illustrate the obtained analytic results.