2020
Asheghan, Mohammad Mostafa; Shafai, Bahram; Míguez, Joaquín
On the Stability of a Stochastic Nonlinear Model of the Heart Beat Rate During a Treadmill Exercise Artículo de revista
En: IFAC-PapersOnLine, vol. 53, no 2, pp. 16457-16461, 2020, ISSN: 2405-8963, (21st IFAC World Congress).
Resumen | Enlaces | BibTeX | Etiquetas: nonlinear dynamcs, parameter perturbation, stability analysis, Stochastic processes, system biology
@article{ASHEGHAN202016457,
title = {On the Stability of a Stochastic Nonlinear Model of the Heart Beat Rate During a Treadmill Exercise},
author = {Mohammad Mostafa Asheghan and Bahram Shafai and Joaqu\'{i}n M\'{i}guez},
url = {https://www.sciencedirect.com/science/article/pii/S2405896320310545},
doi = {https://doi.org/10.1016/j.ifacol.2020.12.735},
issn = {2405-8963},
year = {2020},
date = {2020-01-01},
journal = {IFAC-PapersOnLine},
volume = {53},
number = {2},
pages = {16457-16461},
abstract = {We investigate the stability properties of a nonlinear stochastic dynamical model of a persons 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.},
note = {21st IFAC World Congress},
keywords = {nonlinear dynamcs, parameter perturbation, stability analysis, Stochastic processes, system biology},
pubstate = {published},
tppubtype = {article}
}
We investigate the stability properties of a nonlinear stochastic dynamical model of a persons 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.