Adaptive Event‐Triggered Delayed Impulsive Control for the Mean‐Square Exponential Stabilization of Uncertain Stochastic Complex Networks With Mixed Delays

ABSTRACT This study investigates the mean‐square exponential stabilization of uncertain stochastic complex networks subject to multiple hybrid delays, including nonlinear time‐varying delays, coupling delays, and distributed delays. To overcome the challenges introduced by these delays, we develop a new impulsive differential inequality that accommodates mixed delay effects. By leveraging an adaptive event‐triggered delayed impulsive control strategy, we derive sufficient stability conditions for the network. The proposed approach not only addresses parameter uncertainties but also eliminates the Zeno behavior. Numerical simulations demonstrate the effectiveness of the control methodology.