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switchlet SIGNED

A multi-resolution theory for systems and control across scales

Total Cost €


EC-Contrib. €






Project "switchlet" data sheet

The following table provides information about the project.


Organization address
postcode: CB2 1TN

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website
 Total cost 2˙497˙111 €
 EC max contribution 2˙497˙111 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2014-ADG
 Funding Scheme ERC-ADG
 Starting year 2015
 Duration (year-month-day) from 2015-10-01   to  2020-09-30


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

The multi-resolution approach to science and engineering is key to tackle the complexity of systems that span across many temporal and spatial scales. This approach has revolutionized signal processing over the last two decades, most notably through wavelet theory, which builds upon the elementary concept of zooming in and out a mother signal localized in time and frequency. A similar revolution is needed in systems and control to address the most pressing engineering challenges of the 21st century, particularly in the field of medical neuroscience.

Our proposal is to lay the mathematical foundations of a multi-resolution behavioral theory. Multi-resolution behaviors are behaviors that can be modeled, analyzed, controlled, and designed at different resolutions. Our approach is based on the core novel idea that an elementary feedback principle regulates localization. Analogously to the wavelet in signal processing, we introduce the switchlet as an elementary nonlinear feedback system statically localized in range, dynamically localized in space and time. Analogously to filter banks in signal processing, our proposed interconnection theory of switchlets provides specific zooming in and out principles relying on synchronization principles.

The theory of our proposal is entirely inspired, steered, and benchmarked by the specific application of understanding the robustness and modulation principles of neuronal behaviors, in collaboration with experimental neuroscientists. We propose that the multi-resolution organizing principles that we have learned by studying neuronal behaviors provide entirely novel design principles for the control of natural and artificial behaviors across scales. The objective of our proposal is to demonstrate the potential impact of such principles in the emerging age of distributed sensing and actuating technology.


year authors and title journal last update
List of publications.
2016 Fulvio Forni, Rodolphe Sepulchre
Differentially Positive Systems
published pages: 1-1, ISSN: 0018-9286, DOI: 10.1109/TAC.2015.2437523
IEEE Transactions on Automatic Control 2020-04-23
2018 Felix Miranda, Fulvio Forni, Rodolphe Sepulchre
Differentially passive circuits that switch and oscillate
published pages: , ISSN: , DOI:
Proceedings 2nd IFAC Conference on Modeling, Identification, and Control of Nonlinear Systems, Mexico - June 2018. 2020-04-23
2015 Julie Dethier, Guillaume Drion, Alessio Franci, Rodolphe Sepulchre
A positive feedback at the cellular level promotes robustness and modulation at the circuit level
published pages: 2472-2484, ISSN: 0022-3077, DOI: 10.1152/jn.00471.2015
Journal of Neurophysiology 114/4 2020-04-23
2017 Giacomo Baggio, Rodolphe Sepulchre
LTI Stochastic Processes: a Behavioral Perspective * *The research leading to these results has received funding from the European Research Council under the Advanced ERC Grant Agreement Switchlet n. 670645.
published pages: 2806-2811, ISSN: 2405-8963, DOI: 10.1016/j.ifacol.2017.08.631
IFAC-PapersOnLine 50/1 2020-04-23
2018 Alessio Franci, Guillaume Drion, Rodolphe Sepulchre
Robust and tunable bursting requires slow positive feedback
published pages: 1222-1234, ISSN: 0022-3077, DOI: 10.1152/jn.00804.2017
Journal of Neurophysiology 119/3 2020-04-23
2016 Cirillo, G. I.; Habib, G.; Kerschen, G.; Sepulchre, R.
Analysis and design of nonlinear resonances via singularity theory
published pages: 295-306, ISSN: 0022-460X, DOI: 10.17863/CAM.8421
Journal of Sound and Vibration 10 2020-04-23
2018 Tomas Van Pottelbergh, Guillaume Drion, Rodolphe Sepulchre
Robust Modulation of Integrate-and-Fire Models
published pages: 987-1011, ISSN: 0899-7667, DOI: 10.1162/neco_a_01065
Neural Computation 30/4 2020-04-23
2018 Guillaume Drion, Julie Dethier, Alessio Franci, Rodolphe Sepulchre
Switchable slow cellular conductances determine robustness and tunability of network states
published pages: e1006125, ISSN: 1553-7358, DOI: 10.1371/journal.pcbi.1006125
PLOS Computational Biology 14/4 2020-04-23
2016 Alessio Franci, Rodolphe Sepulchre
A Three-Scale Model of Spatio-Temporal Bursting
published pages: 2143-2175, ISSN: 1536-0040, DOI: 10.1137/15M1046101
SIAM Journal on Applied Dynamical Systems 15/4 2020-04-23
2018 Forni, Fulvio; Sepulchre, Rodolphe
Differential dissipativity theory for dominance analysis
published pages: , ISSN: 0018-9286, DOI:
IEEE Transactions on Automatic Control 2 2020-04-23
2018 Cyrus Mostajeran, Rodolphe Sepulchre
Ordering positive definite matrices
published pages: , ISSN: 2511-2481, DOI: 10.1007/s41884-018-0003-7
Information Geometry 2020-04-23

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