Hidden variable tracking: Formulation and analysis of a mathematical model

David Chelidze, Joseph P. Cusumano, Anindya Chatterjee

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

1 Scopus citations


The hidden variable tracking method developed by Cusumano et al, (1998) is analyzed using a simple model of the mechanical oscillator with nonstationary two-well potential previously studied experimentally. Numerical experiments conducted using the model are in good agreement with the experimental study, and explicitly show how the tracking metric (or drift observer) is related to drift in system parameters caused by the slow evolution of a hidden variable. Using the idea of averaging, the slow flow equation governing hidden variable evolution is obtained. It is shown that solutions to the slow flow equation correspond to the drift trajectory obtained with the experimental tracking method.

Original languageEnglish (US)
Title of host publication17th Biennial Conference on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages11
ISBN (Electronic)9780791880395
StatePublished - 1999
EventASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States
Duration: Sep 12 1999Sep 16 1999

Publication series

NameProceedings of the ASME Design Engineering Technical Conference


ConferenceASME 1999 Design Engineering Technical Conferences, DETC 1999
Country/TerritoryUnited States
CityLas Vegas

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation


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