Stability Analysis for Delayed Neural Networks via a Generalized Reciprocally Convex Inequality

• Published in: IEEE transaction on neural networks and learning systems Vol. 34; no. 10; pp. 7491 - 7499
• Main Authors: Lin, Hui-Chao, Zeng, Hong-Bing, Zhang, Xian-Ming, Wang, Wei
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.10.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Artificial neural networks; Delayed neural network (NN); Delays; Linear matrix inequalities; Lyapunov-Krasovskii functional (LKF); Neural networks; Neurons; reciprocally convex combination; Stability analysis; Stability criteria; Symmetric matrices; Time-varying systems

This article deals with the stability of neural networks (NNs) with time-varying delay. First, a generalized reciprocally convex inequality (RCI) is presented, providing a tight bound for reciprocally convex combinations. This inequality includes some existing ones as special case. Second, in order...