English

A remark on incoherent feedforward circuits as change detectors and feedback controllers

Systems and Control 2016-02-02 v1

Abstract

This note analyzes incoherent feedforward loops in signal processing and control. It studies the response properties of IFFL's to exponentially growing inputs, both for a standard version of the IFFL and for a variation in which the output variable has a positive self-feedback term. It also considers a negative feedback configuration, using such a device as a controller. It uncovers a somewhat surprising phenomenon in which stabilization is only possible in disconnected regions of parameter space, as the controlled system's growth rate is varied.

Keywords

Cite

@article{arxiv.1602.00162,
  title  = {A remark on incoherent feedforward circuits as change detectors and feedback controllers},
  author = {Eduardo D. Sontag},
  journal= {arXiv preprint arXiv:1602.00162},
  year   = {2016}
}
R2 v1 2026-06-22T12:40:03.747Z