Signal detection and approximate adaptation implies an approximate internal model

Burton W. Andrews, Pablo A. Iglesias, Eduardo D. Sontag

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

Abstract

The proper function of many biological systems requires that external perturbations be detected, allowing the system to adapt to these environmental changes. It is now well established that this dual detection and adaptation requires that the system have an internal model in the feedback loop. In this paper we relax the requirement that the response of the system adapt perfectly, but instead allow regulation to within a neighborhood of zero. We show that linear systems with the ability to detect input signals and approximately adapt require an approximate model of the input. We illustrate our results by analyzing two well-studied biological systems.

Original languageEnglish (US)
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2364-2369
Number of pages6
ISBN (Print)1424401712, 9781424401710
DOIs
StatePublished - 2006
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: Dec 13 2006Dec 15 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
CountryUnited States
CitySan Diego, CA
Period12/13/0612/15/06

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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  • Cite this

    Andrews, B. W., Iglesias, P. A., & Sontag, E. D. (2006). Signal detection and approximate adaptation implies an approximate internal model. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 2364-2369). [4177419] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.377227