Stability analysis of nonlinear muscle dynamics using contraction theory

Andrew G. Richardson*, Matthew C. Tresch, Emilio Bizzi, Jean Jacques E. Slotine

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations

Abstract

Biological motor control systems have a distributed, rather than centralized, architecture. Instabilities in movement, such as tremor, can in part arise from the interactions between different physiological feedback mechanisms. Contraction theory provides tools for analyzing the stability of nonlinear distributed control systems. Here we use contraction theory to investigate the stability provided by the mechanical feedback of muscle dynamics, finding that these dynamics are exponentially stable. This theoretical result complements previous computational and experimental findings regarding the efficacy of viscoelastic properties of muscle in compensating for disturbances.

Original languageEnglish (US)
Title of host publicationProceedings of the 2005 27th Annual International Conference of the Engineering in Medicine and Biology Society, IEEE-EMBS 2005
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4986-4989
Number of pages4
ISBN (Print)0780387406, 9780780387409
DOIs
StatePublished - 2005
Event2005 27th Annual International Conference of the Engineering in Medicine and Biology Society, IEEE-EMBS 2005 - Shanghai, China
Duration: Sep 1 2005Sep 4 2005

Publication series

NameAnnual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings
Volume7 VOLS
ISSN (Print)0589-1019

Other

Other2005 27th Annual International Conference of the Engineering in Medicine and Biology Society, IEEE-EMBS 2005
CountryChina
CityShanghai
Period9/1/059/4/05

Keywords

  • Distributed control
  • Muscle
  • Stability

ASJC Scopus subject areas

  • Signal Processing
  • Biomedical Engineering
  • Computer Vision and Pattern Recognition
  • Health Informatics

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    Richardson, A. G., Tresch, M. C., Bizzi, E., & Slotine, J. J. E. (2005). Stability analysis of nonlinear muscle dynamics using contraction theory. In Proceedings of the 2005 27th Annual International Conference of the Engineering in Medicine and Biology Society, IEEE-EMBS 2005 (pp. 4986-4989). [1615594] (Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings; Vol. 7 VOLS). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/iembs.2005.1615594