Scale-invariant systems realize nonlinear differential operators Conference Paper

Author(s): Lang, Moritz; Sontag, Eduardo D
Title: Scale-invariant systems realize nonlinear differential operators
Affiliation IST Austria
Abstract: In recent years, several biomolecular systems have been shown to be scale-invariant (SI), i.e. to show the same output dynamics when exposed to geometrically scaled input signals (u → pu, p > 0) after pre-adaptation to accordingly scaled constant inputs. In this article, we show that SI systems-as well as systems invariant with respect to other input transformations-can realize nonlinear differential operators: when excited by inputs obeying functional forms characteristic for a given class of invariant systems, the systems' outputs converge to constant values directly quantifying the speed of the input.
Keywords: Silicon; Differential equations; Linear systems; Steady-state; Organisms; Nonlinear dynmical systems
Conference Title: ACC: American Control Conference
Volume: 2016
Issue July
Conference Dates: July 6 - 8, 2016
Conference Location: Boston, MA, USA
Publisher: IEEE  
Date Published: 2016-07-28
Start Page: 6676
End Page: 6682
DOI: 10.1109/ACC.2016.7526722
Notes: The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under REA grant agreement n° [291734]. Work supported in part by grants AFOSR FA9550-14-1-0060 and NIH 1R01GM100473.
Open access: yes (repository)
IST Austria Authors
  1. Moritz Lang
    8 Lang
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