Global asymptotic stability of multiple time delays fractional-order neutral-type neural networks

To address the stability problem of Riemann-Liouville fractional-order neural networks with discrete time-dependent delays, neutral-type delays, and unbounded distributed delays, this paper proposes a stability analysis method based on the Lyapunov-Krasovskii functional and linear matrix inequality (LMI) techniques. First, a Lyapunov-Krasovskii functional incorporating both fractional-order integral and derivative terms is constructed. Subsequently, based on the proposed functional, sufficient conditions ensuring the global asymptotic stability of the system’s equilibrium point are derived, which are expressed in the form of LMIs, making them convenient for verification using system parameters. Finally, the effectiveness and feasibility of the proposed method are validated through four numerical simulation examples.