Fixed-time synchronization of discontinuous complex-valued BAM neural networks with time delays

The fixed-time synchronization (FTS) of discontinuous complex-valued bidirectional associative memory neural networks (CVBAMNNs) with time delays is investigated in this paper. First, CVBAMNNs are separated into real and imaginary parts, the equivalent real-valued subsystems are constructed for the analysis. Then, two kinds of discontinuous feedback controllers are designed, and two forms of Lyapunov function based on $p$-norm and 1-norm are constructed to study the FTS of CVBAMNNs. By using differential inclusions theory and some inequality techniques, some neoteric criteria are established to achieve FTS, and the upper-bound of the setting time is more explicitly estimated as well. Finally, numerical simulations are presented to verify the effectiveness and applicability of the developed theoretical results.