文章基本信息

标题：On the Stability of a Stochastic Nonlinear Model of the Heart Beat Rate During a Treadmill Exercise
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作者：Mohammad Mostafa Asheghan ; Bahram Shafai ; Joaquín Míguez 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：16457-16461
DOI：10.1016/j.ifacol.2020.12.735
语种：English
出版社：Elsevier
摘要：AbstractWe investigate the stability properties of a nonlinear stochastic dynamical model of a person’s heart beat rate (HBR) during a treadmill exercise. The analysis is based on the Lyapunov direct method and it is valid for systems with either known or unknown parameters. Specifically, we characterize an upper bound on the norm of the cumulative noise that holds in the presence of bounded errors in the model parameters and guarantees p-stability. Numerical simulations are presented that corroborate the theoretical results.
关键词：KeywordsStability analysisstochastic processesnonlinear dynamcsparameter perturbationsystem biology