Fixed-Time Passivity and Synchronization of Multiweighted Coupled Memristive Neural Networks With Adaptive Couplings.

ABSTRACT

Two types of multiweighted coupled memristive neural networks (CMNNs) with adaptive couplings are introduced in this article, and the fixed-time passivity (FXTP) and fixed-time synchronization (FXTS) of such networks are considered. First, under the developed adaptive scheme, a sufficient condition to guarantee the FXTP for multiweighted CMNNs with adaptive couplings is obtained. Second, the FXTP, fixed-time input-strict passivity and fixed-time output-strict passivity for multiweighted CMNNs with adaptive couplings and coupling delays are investigated by devising an appropriate state feedback controller. Third, applying the Lyapunov functional method, it establishes the FXTS criteria for the two kinds of networks presented. Finally, numerical examples are provided to demonstrate the effectiveness of the derived results.