Inner Synchronization of Complex‐Valued Stochastic Coupled Networks Via Intermittent Discrete Observation Control

Guang Ze Dai, Wenbin Hu, Yan Liu · Mathematical Methods in the Applied Sciences · 2025

ABSTRACT To investigate the inner synchronization of stochastic complex‐valued coupled networks, a hybrid control method named aperiodically intermittent discrete observation control (AIDOC) is proposed in the sense of average, which combines the merits of discrete time state observation control and aperiodically intermittent control. By using the average technique, the minimum control ratio condition, quasi‐periodicity condition is not required, which makes our results more general and less conservative. Moreover, by employing the Lyapunov method and graph theory, some sufficient conditions are given to guarantee the realization of the synchronization. Then, the inner synchronization of stochastic complex‐valued coupled oscillators (SCCOs) is considered via AIDOC. Eventually, several numerical simulations are given to testify the effectiveness of the results developed.

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