Fixed-Time and Preassigned-Time Synchronization of Delayed Inertial Neural Networks

This paper investigates the fixed-time synchronization (FXTS) and the preassigned-time synchronization (PATS) of inertial neural networks (INNs) by improved control strategies. Firstly, using the order-reduce method, a proper Lyapunov function is constructed and a FXTS controller is designed. Then, some novel conditions for TXTS of INNs are derived and a more precise estimate for the settling time are provided. Moreover, depending on the FXTS, another PATS controller is proposed, with which the PATS of INNs is also achieved. Finally, the correctness and validity of the FXTS and PATS results are illustrated by a numerical example.