Bounded and saturation control based fixed-time synchronization of discontinuous fuzzy competitive networks with state-dependent switching

This paper focuses on the fixed-time (FxT) synchronization of discontinuous fuzzy competitive neural networks (DFCNNs) with leakage-delays and state-dependent switching. Discontinuous activations, fuzzy terms, leakage delays and state-dependent switching are considered into the CNNs to increase the generality in practical applications. Before studying the synchronization, as an important theoretical basis, a new FxT stability lemma is established based on the method of non-scaling integral denominator, which is low conservative. Five different settling-time estimates are explicitly given by discussing the range of the exponents. Previous results are included and greatly improved. In order to achieve the FxT synchronization of the addressed DFCNNs, a continuously bounded control scheme is proposed by introducing a saturation function rather than a sign function, which can not only solve the chattering phenomenon, but also ensure the boundedness of the control input. Some new leakage-delay-dependent synchronization criteria are derived for the DFCNNs. Finally, the validity of the main results is verified by numerical simulations.