Finite-time boundary asynchronous control of reaction–diffusion neural networks with semi-Markov jump parameters

This article investigates finite-time control issues for a class of semi-Markov jump reaction–diffusion neural networks (S-MJRDNNs). Taking into account the non-synchronous behavior between the neural network modes and controller modes, a boundary asynchronous control scheme for S-MJRDNNs is presented, which demonstrates significant advantages in cost savings and reducing the limitation of the placement environment. The S-MJRDNNs are stabilized to stochastic finite-time boundedness (SFTB) by the use of Lyapunov–Krasovskii functional and vector-valued Wirtinger-type inequality. Meanwhile, a sufficient condition is derived to guarantee the SFTB. Additionally, the criterion for boundary asynchronous control synthesis is also obtained ensuring the SFTB with finite-time H_∞ performance. At last, a numerical example is displayed to demonstrate the efficacy of the proposed control strategy.