Lag H<sub>∞</sub> synchronization in coupled reaction-diffusion neural networks with multiple state or derivative couplings.

Wang, Lu; Bian, Yougang; Guo, Zhenyuan; Hu, Manjiang · Neural Netw · 2022

basic_science · Level V

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Abstract

This paper mainly attempts to discuss lag H<sub>∞</sub> synchronization in multiple state or derivative coupled reaction-diffusion neural networks without and with parameter uncertainties. Firstly, we respectively propose two types of reaction-diffusion neural networks with multiple state and derivative couplings subject to parameter uncertainties. Secondly, by exploiting designed state feedback controllers, several criteria of the lag H<sub>∞</sub> synchronization for these two networks are developed based on Lyapunov functional and inequality techniques. Thirdly, lag H<sub>∞</sub> synchronization issues of these two networks are also coped with by virtue of devised adaptive control strategies. Finally, we provide two numerical examples to verify the obtained lag H<sub>∞</sub> synchronization criteria.

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