General decay synchronization of T-S fuzzy complex-valued BAM neural networks with mixed time delays
Xiuping Han, Abdujelil Abdurahman · Journal of Mathematics and Computer Science · 2025
This study investigated the general decay synchronization of T-S fuzzy Binary association memory (BAM) neural networks with discrete and distributed time delays over a complex domain. First, a novel and simple nonlinear feedback controller is introduced. Then, based on a suitable Lyapunov-Krasovskii functional and non-separation method of complex-valued systems, sufficient conditions for the concerned derived-response systems to achieve general decay synchronization are obtained through inequality techniques. Finally, the feasibility of the results was verified through numerical simulations. It is worth noting that general decay synchronization provides a more general convergence rate for synchronization errors approaching zero, and the usual logarithmic synchronization, exponential synchronization, and pronominal synchronization can be special cases of general decay synchronization considered in our work when \(\varrho(t)\) in the designed controller has specific functions.