Adaptation Implies Internal Model
Optimization and Control
2007-05-23 v1 Dynamical Systems
Abstract
This note provides a simple result showing, under suitable technical assumptions, that if a system S adapts to a class of external signals U, then S must necessarily contain a subsystem which is capable of generating all the signals in U. It is not assumed that regulation is robust, nor is there a prior requirement for the system to be partitioned into separate plant and controller components.
Cite
@article{arxiv.math/0203228,
title = {Adaptation Implies Internal Model},
author = {Eduardo D. Sontag},
journal= {arXiv preprint arXiv:math/0203228},
year = {2007}
}
Comments
Further work in http://math.rutgers.edu/~sontag