Stability of high-order delayed Markovian jumping reaction-diffusion HNNs with uncertain transition rates

作者:

Highlights:

• The mean square exponential stability of high-order Markovian jump reaction-diffusion.

• HNNs (RHNNs) with GUTRs is firstly discussed.

• The uncertainties exist in not only parameters but also transition rates.

• Each transition rate can be completely unknown or only its estimate value is known.

• Our models are more comprehensive and some existing results are special cases of ours.

• A numerical example illustrates the validity of our findings.

摘要

•The mean square exponential stability of high-order Markovian jump reaction-diffusion.•HNNs (RHNNs) with GUTRs is firstly discussed.•The uncertainties exist in not only parameters but also transition rates.•Each transition rate can be completely unknown or only its estimate value is known.•Our models are more comprehensive and some existing results are special cases of ours.•A numerical example illustrates the validity of our findings.

论文关键词:Exponential stability,Mean square,Reaction-diffusion,Markovian jumping Hopfield neural networks (HNNs),Uncertain transition rates

论文评审过程:Received 13 April 2020, Revised 1 July 2020, Accepted 19 July 2020, Available online 26 August 2020, Version of Record 26 August 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125559