Synchronization of reaction‐diffusion neural networks with distributed delay via quantized boundary control

Abstract

This paper investigates the synchronization of reaction-diffusion neural networks (RDNNs) with distributed delay via quantized boundary control. To reduce the communication burden, a novel control strategy combined boundary control and logarithmic quantizer is proposed, and two controllers respectively subject to constant and adaptive coefficients are carried out. Worth mentioning that the adaptive feedback gain is a matrix in this paper rather than a one-dimensional variable in most of the existing literatures. Using the Lyapunov functional, the sufficient conditions for delay-dependent synchronization are obtained through linear matrix inequalities. The effectiveness of the proposed control strategy is illustrated via two examples.

Adaptive control for synchronization of time‐delayed complex networks with multi‐weights based on semi‐linear hyperbolic PDEs

“…30 Zhang et al studied quantized boundary control of CSTNs. 31 These references have achieved many important and meaningful results, however, they did not consider the influence brought from time delays.…”

“…Kabalan et al proposed a boundary synchronization method of CSTNs considering in‐domain coupling 30 . Zhang et al studied quantized boundary control of CSTNs 31 . These references have achieved many important and meaningful results, however, they did not consider the influence brought from time delays.…”