Passivity and Robust Passivity of Delayed Cohen-Grossberg Neural Networks With and Without Reaction-Diffusion Terms

摘要

In this paper, we address the passivity and robust passivity problems for delayed Cohen-Grossberg neural networks (DCGNNs) both with and without reaction-diffusion terms. First, by resorting to appropriate Lyapunov functionals combined with some inequality techniques, some passivity conditions for DCGNNs without the reaction-diffusion terms are derived. Moreover, considering that parameter uncertainties may appear in neural networks, we also study the robust passivity of DCGNNs. In addition, we extend these derived results to the model of DCGNNs with reaction-diffusion terms. The validity and advantages of the theoretical results are demonstrated by three numerical examples.