Global μ-stability of impulsive reaction–diffusion neural networks with unbounded time-varying delays and bounded continuously distributed delays

This paper investigates the global μ-stability for impulsive cellular neural networks with reaction–diffusion terms and mixed delays, where mixed delays consist of unbounded time-varying delays and bounded continuously distributed delays. The model under consideration is more general than those investigated in most existing literature. By establishing a novel Lyapunov–Krasovskii functional and employing the delay differential inequality with impulsive initial conditions, boundary conditions and LMI, we obtain two concise and sufficient conditions ensuring global μ-stability of the impulsive reaction–diffusion cellular neural networks with mixed delays. The newly obtained criteria are concerned with the reaction–diffusion coefficients and the regional feature. However, they are independent of boundaries of variable time delays. Several corollaries are also presented. Finally, three concrete numerical examples are given to demonstrate the effectiveness and superiority of our main results.