Fixed-time passivity of multi-weighted coupled memristive Cohen–Grossberg neural networks

Abstract

This article presents a type of multi-weighted coupled memristive Cohen–Grossberg neural networks. Firstly, by utilizing some inequality techniques and constructing a suitable Lyapunov function, a sufficient condition is established to ensure the fixed-time passivity (FXTP) in such networks. Secondly, based on adaptive state feedback control strategy, the FXTP, fixed-time input strict passivity, and fixed-time output strict passivity of the proposed networks are investigated. Further, two fixed-time synchronization criteria for the fixed-time passive multi-weighted coupled memristive Cohen–Grossberg neural networks are derived. Finally, a numerical example is proposed to demonstrate the validity of the theoretical results.