Finite-Time Stability for Caputo–Katugampola Fractional-Order Time-Delayed Neural Networks

• DOI: 10.1007/s11063-019-10060-6
• Publication Date: 2019-06-11T09:02:35Z
• Authors: Assaad Jmal; Abdellatif Ben Ma...; A. M. Nagy; Omar Naifar
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

In this paper, an original scheme is presented, in order to study the finite-time stability of the equilibrium point, and to prove its existence and uniqueness, for Caputo–Katugampola fractional-order neural networks, with time delay. The proposed scheme uses a newly introduced fractional derivative concept in the literature, which is the Caputo–Katugampola fractional derivative. The effectiveness of the theoretical results is shown through simulations for two numerical examples.