Adaptation and regulation with signal detection implies internal model
| dc.creator | Sontag, Eduardo D. | |
| dc.date | 2003-09-16 | |
| dc.date.accessioned | 2026-07-07T05:57:49Z | |
| dc.date.available | 2026-07-07T05:57:49Z | |
| dc.description | This note provides a theorem showing, under suitable technical assumptions, that if a system S adapts to a class of external signals U, in the sense of egulation against disturbances or tracking signals in U, then S must ecessarily 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. Instead, one assumes that a ``signal detection'' property holds. The result was motivated by questions of adaptation in bacterial chemotaxis, but the general mathematical principle is of wide applicability. | |
| dc.description | See http://www.math.rutgers.edu/~sontag for related work; to appear in Systems and Control Letters | |
| dc.identifier | https://arxiv.org/abs/q-bio/0309003 | |
| dc.identifier | http://arxiv.org/abs/q-bio/0309003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88131 | |
| dc.subject | Quantitative Methods | |
| dc.subject | Molecular Networks | |
| dc.title | Adaptation and regulation with signal detection implies internal model | |
| dc.type | text |