New results on fixed-time synchronization of two delayed complex networks with disturbance via periodically semi-intermittent control

The fixed-time synchronization issue of delayed drive-response complex dynamic networks is investigated in this paper. Not only hybrid delays but also external disturbance are included in the network model. An improved fixed-time stability lemma with tighter setting-time is introduced by means of intermediate value theorem. By employing periodically semi-intermittent controllers and using the vital lemma, some sufficient criteria ensuring fixed-time synchronization are derived. The settling-time only relates to the intermittent control ratio and network parameters. Finally, examples are performed to illustrate the validity of the method.