Finite-Time Synchronization of Discontinuous Inertial Neural Networks Based on Event-Triggered Mechanism

doi:10.13438/j.cnki.jdzk.2025.05.004

Abstract

Abstract: The finite-time event-triggered control problem of a class of time-delay inertial neural networks with discontinuous activation functions is studied.The second-order inertial neural network is transformed into the form of a first-order neural network through the variable substitution method.Based on the characteristics of discontinuous activation functions,the solution of the neural network is defined using the Filippov solution framework.A new event-triggered controller is designed in combination with the finite-time stability theory,and the trigger interval is restricted to avoid the Zeno phenomenon.On this basis,the discrimination criteria for the network to achieve finite-time synchronization are derived to ensure that this type of second-order inertial neural network achieves synchronization within a finite time.

Key words: event triggering mechanism, inertial neural network, finite time synchronization, time-lag

ZENG Zhiyuan, DAI Houping, CHEN Teng. Finite-Time Synchronization of Discontinuous Inertial Neural Networks Based on Event-Triggered Mechanism [J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 19-28.

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