Fixed/predefined-time synchronization on complex networks in the light of T-S fuzzy system

This research studies the realization of fixed-time synchronization and predefined-time synchronization over complex networks in the light of T-S fuzzy system by employing ameliorating control strategies. Firstly, different from the previous results, some novel results of considered system are acquired to ensure fixed-time synchronization and predefined-time synchronization. Secondly, some more relaxed conditions are acquired for fixed-time synchronization, besides, several exacter settling time estimates are obtained by using some specific functions. Thirdly, via special control schemes, the synchronization based on predefined-time method is studied, whose synchronization time can be set up in advance according to actual needs. It is worth noting that synchronization time is not only irrelevant to the system parameters but also independent of the initial states. Particularly, the necessary conditions of fixed-time and predefined-time synchronization on T-S fuzzy complex networks are obtained. Lastly, the improved fixed-time and predefined-time synchronization results are confirmed by a numerical simulation.