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

Suriguga,, Yonggui Kao, Chuntao Shao and Xiangyong Chen

Applied Mathematics and Computation, 2021, vol. 389, issue C

Abstract: This paper focuses on mean square exponential stability of high-order Markovian jump reaction-diffusion HNNs (RHNNs) with uncertain transition rates (GUTRs) and time-varying delays by Lyapunov-Krasovskii functional method and linear matrix inequality (LMI). In this GUTR model, only part of the transition rates can be known, namely, its estimate error and estimate value are known, but the others have no useful information. Our models are more comprehensive and some existing results are special cases of ours. Finally, a numerical example illustrates the validity of our findings.

Keywords: Exponential stability; Mean square; Reaction-diffusion; Markovian jumping Hopfield neural networks (HNNs); Uncertain transition rates (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:389:y:2021:i:c:s0096300320305154

DOI: 10.1016/j.amc.2020.125559

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