Robust stability analysis of impulsive complex-valued neural networks with mixed time delays and parameter uncertainties

*Correspondence: [email protected] 2School of Mathematics and Statistics, Shaanxi Normal University, Shaanxi, China Full list of author information is available at the end of the article Abstract The robust stability for the impulsive complex-valued neural networks with mixed time delays is considered in this paper. Based on the homeomorphic mapping theorem, some sufficient conditions are proposed for the existence and uniqueness of the equilibrium point. By constructing appropriate Lyapunov–Krasovskii functions and employing modulus inequality techniques, the global robust stability theorem is obtained for the neural networks in complex domain. Finally, numerical simulations confirm the stability of the system and manifest that the complex-valued neural networks work efficiently on storing and retrieving the image patterns.