Global asymptotic stability and S-asymptotic ω-periodicity of impulsive non-autonomous fractional-order neural networks

作者：

Highlights：

• A definition on piecewise SAP and a new Banach space are given. New existence and uniqueness criteria are obtained for the defined type of solutions.

• Several necessary conditions of globally asymptotic stability and SAP are given. Some easily verifiable conditions are presented by M matrices.

• A simulation verifies the effectiveness of results. Our model can still obtain asymptotically stable solutions under impulsive perturbation.

摘要

•A definition on piecewise SAP and a new Banach space are given. New existence and uniqueness criteria are obtained for the defined type of solutions.•Several necessary conditions of globally asymptotic stability and SAP are given. Some easily verifiable conditions are presented by M matrices.•A simulation verifies the effectiveness of results. Our model can still obtain asymptotically stable solutions under impulsive perturbation.

论文关键词：Fractional-order neural network,Globally S-asymptotic ω-periodicity,Globally asymptotic stability,Impulses,Non-autonomous

论文评审过程：Received 4 January 2021, Revised 18 May 2021, Accepted 12 June 2021, Available online 28 June 2021, Version of Record 28 June 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126459