Fixed-time synchronization of interconnected memristive neural networks with energy consumption via switched control

The fixed-time synchronization of time-delay interconnected memristive neural networks is probed in this article. Firstly, according to the conventional controller, a new type of switching controller is proposed, which can complement each other. By utilizing the theory of Lyapunov stability and differential inclusion, it is proved that interconnected memristive neural networks can achieve synchronization within a fixed time under the designed controller. In addition, to control engineering costs, the upper limit of energy consumption, which is produced by the controller from the initial time to the settling-time, is estimated. Finally, numerical examples are provided to verify the validity of the theoretical results.