Global Finite-time Stability for Fractional-order Neural Networks

• Published in: Optical memory & neural networks Vol. 29; no. 2; pp. 77 - 99
• Main Author: Xiaolong Hu
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.04.2020
• Subjects: Complexity; Computer Science; Information Storage and Retrieval; Global finite-time stability; Lur’e Postnikov-type Lyapunov functional; Fractional neural networks; Topological degree; Hölder-type activation functions
• ISSN: 1060-992X; 1934-7898
• DOI: 10.3103/S1060992X20020046

This paper is concerned with the global Mittag-Leffler stability (GMLS) and global finite-time stability (GFTS) for fractional Hopfield neural networks (FHNNs) with Hölder neuron activation functions subject to nonlinear growth. Firstly, four functions possessing convexity are proposed, which can gu...