Scale-invariant systems realize nonlinear differential operators

Lang, Moritz and Sontag, Eduardo (2016) Scale-invariant systems realize nonlinear differential operators. In: ACC: 2016 American Control Conference , July 6-8, 2016 , Boston, MA, USA .

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Official URL: https://doi.org/10.1109/ACC.2016.7526722

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.

Item Type: Conference or Workshop Item (Paper)
Subjects: 000 Computer science, knowledge & general works > 000 Computer science, knowledge & systems > 003 Systems
600 Technology > 620 Engineering > 621 Applied physics
Research Group: Guet Group
Tkacik Group
Depositing User: Moritz Lang
Date Deposited: 20 Apr 2017 07:21
Last Modified: 15 Jul 2019 14:40
URI: https://repository.ist.ac.at/id/eprint/810

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