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switchlet SIGNED

A multi-resolution theory for systems and control across scales

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

switchlet project word cloud

Explore the words cloud of the switchlet project. It provides you a very rough idea of what is the project "switchlet" about.

mother switchlets time signal relying regulates temporal foundations modulation distributed frequency space 21st revolutionized pressing organizing revolution entirely sensing artificial neuroscience resolutions steered principles modeled learned decades behavioral synchronization benchmarked science experimental spatial resolution last interconnection elementary zooming age natural banks localization actuating mathematical provides designed century core engineering inspired scales filter notably complexity robustness dynamically span switchlet idea behaviors localized theory introduce lay wavelet tackle nonlinear feedback medical builds neuronal neuroscientists analogously

Project "switchlet" data sheet

The following table provides information about the project.

Coordinator	THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE Organization address address: TRINITY LANE THE OLD SCHOOLS city: CAMBRIDGE postcode: CB2 1TN website: www.cam.ac.uk 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	http://www.eng.cam.ac.uk/news/scaling-research
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

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE THE CHANCELLOR MASTERS AND SCHOLARSOF THE UNIVERSITY OF CAMBRIDGE Organization address address: TRINITY LANE THE OLD SCHOOLS city: CAMBRIDGE postcode: CB2 1TN website: www.cam.ac.uk contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	UK (CAMBRIDGE)	coordinator	2˙497˙111.00

Map

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.

Publications

List of publications.
year	authors and title	journal	last update
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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