Fixed-time stabilization and synchronization for fuzzy inertial neural networks with bounded distributed delays and discontinuous activation functions.

This paper mainly describes the fixed-time (FXT) stabilization and synchronization for fuzzy inertial neural networks (FINNs). Firstly, the discontinuous system is treated by using differential inclusion theory. Then, in order to guarantee the FXT stabilization and synchronization of FINNs, we use the fixed-time stability (FTS) theories of dynamic systems and design two efficient feedback controllers. Unlike most previous articles, the neural system model with bounded distributed delays and discontinuous activation functions is studied in this paper. In the end, we provide numerical examples showing the validity of the outcomes obtained from the four theorems proved in this paper. At the same time, the simulation results intuitively show the speed of upper settling-time (ST) estimation of different outcomes. [ABSTRACT FROM AUTHOR]