Finite‐Time Synchronization of PDT Switched Stochastic Neural Networks under Event‐Triggered Mechanism

This paper investigates the finite‐time synchronization problem of master‐slave stochastic neural network systems with switching signals. First, to improve resource utilization, an event‐triggered mechanism is introduced, taking into account the transmission delay in the communication process, and a master‐slave synchronization error system is established. Second, to overcome the limitations of traditional switching signals, a more versatile persistent dwell‐time switching rule is adopted. By constructing appropriate Lyapunov–Krasovskii functionals combined with free‐weight matrix methodology, sufficient conditions for the finite‐time synchronization of the master‐slave system are derived. Based on these, the controller expression is obtained via the singular value decomposition lemma. Finally, the effectiveness of the proposed method is verified through simulation examples.