Exponential Stability of Delayed Generalized Neural Networks With Intermittent Large-Delay Periods
Bin Yang, Mengnan Hao, Rui Wang, Xudong Zhao, Guangdeng Zong · IEEE Transactions on Systems Man and Cybernetics Systems · 2020
This article investigates the exponential stability of generalized neural networks (GNNs) with a time-varying delay. Different from the literatures on the similar topic, the considered time delay contains a few intermittent large-delay periods (LDPs). A new approach is proposed to determine how frequent and how long the LDPs are allowed for guaranteeing the exponential stability by using switching techniques. The GNN is first modeled as a switched time-delay system which may include an unstable subsystem. Then, based on a novel Lyapunov–Krasovskii functional with LDP-based terms, a delay-dependent exponential stability criterion and associated evaluation algorithm are developed. Finally, two numerical examples are provided to show the effectiveness of the proposed method.