A multi-resolution theory for systems and control across scales

Project Information

switchlet

Grant agreement ID: 670645

DOI

10.3030/670645

Project closed

EC signature date 20 July 2015

Start date 1 October 2015

End date 30 September 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 497 111,25

EU contribution

€ 2 497 111,25

Coordinated by

THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
United Kingdom

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (26)

Balanced truncation for model reduction of biological oscillators

Author(s): Alberto Padoan, Fulvio Forni, Rodolphe Sepulchre
Published in: Biological Cybernetics, Issue 115/4, 2021, Page(s) 383-395, ISSN 0340-1200
Publisher: Springer Verlag
DOI: 10.1007/s00422-021-00888-4

Neuromorphic Control: Designing Multiscale Mixed-Feedback Systems

Author(s): Luka Ribar, Rodolphe Sepulchre
Published in: IEEE Control Systems, Issue 41/6, 2021, Page(s) 34-63, ISSN 1066-033X
Publisher: Institute of Electrical and Electronics Engineers Inc.
DOI: 10.1109/mcs.2021.3107560

Differential dissipativity analysis of reaction–diffusion systems

Author(s): Félix A. Miranda-Villatoro, Rodolphe Sepulchre
Published in: Systems & Control Letters, Issue 148, 2021, Page(s) 104858, ISSN 0167-6911
Publisher: Elsevier BV
DOI: 10.1016/j.sysconle.2020.104858

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.

Author(s): Giacomo Baggio, Rodolphe Sepulchre
Published in: IFAC-PapersOnLine, Issue 50/1, 2017, Page(s) 2806-2811, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2017.08.631

A Three-Scale Model of Spatio-Temporal Bursting

Author(s): Alessio Franci, Rodolphe Sepulchre
Published in: SIAM Journal on Applied Dynamical Systems, Issue 15/4, 2016, Page(s) 2143-2175, ISSN 1536-0040
Publisher: Society of Industrial and Applied Mathematics
DOI: 10.1137/15M1046101

Ordering positive definite matrices

Author(s): Cyrus Mostajeran, Rodolphe Sepulchre
Published in: Information Geometry, 2018, ISSN 2511-2481
Publisher: Springer
DOI: 10.1007/s41884-018-0003-7

Analysis and design of nonlinear resonances via singularity theory

Author(s): Cirillo, G. I.; Habib, G.; Kerschen, G.; Sepulchre, R.
Published in: Journal of Sound and Vibration, Issue 10, 2016, Page(s) 295-306, ISSN 0022-460X
Publisher: Academic Press
DOI: 10.17863/CAM.8421

Robust and tunable bursting requires slow positive feedback

Author(s): Alessio Franci, Guillaume Drion, Rodolphe Sepulchre
Published in: Journal of Neurophysiology, Issue 119/3, 2018, Page(s) 1222-1234, ISSN 0022-3077
Publisher: American Physiological Society
DOI: 10.1152/jn.00804.2017

Switchable slow cellular conductances determine robustness and tunability of network states

Author(s): Guillaume Drion, Julie Dethier, Alessio Franci, Rodolphe Sepulchre
Published in: PLOS Computational Biology, Issue 14/4, 2018, Page(s) e1006125, ISSN 1553-7358
Publisher: PLOS Computational Biology
DOI: 10.1371/journal.pcbi.1006125

Differentially Positive Systems

Author(s): Fulvio Forni, Rodolphe Sepulchre
Published in: IEEE Transactions on Automatic Control, 2016, Page(s) 1-1, ISSN 0018-9286
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/TAC.2015.2437523

Robust Modulation of Integrate-and-Fire Models

Author(s): Tomas Van Pottelbergh, Guillaume Drion, Rodolphe Sepulchre
Published in: Neural Computation, Issue 30/4, 2018, Page(s) 987-1011, ISSN 0899-7667
Publisher: MIT Press
DOI: 10.1162/neco_a_01065

A positive feedback at the cellular level promotes robustness and modulation at the circuit level

Author(s): Julie Dethier, Guillaume Drion, Alessio Franci, Rodolphe Sepulchre
Published in: Journal of Neurophysiology, Issue 114/4, 2015, Page(s) 2472-2484, ISSN 0022-3077
Publisher: American Physiological Society
DOI: 10.1152/jn.00471.2015

Differential dissipativity theory for dominance analysis

Author(s): Forni, Fulvio; Sepulchre, Rodolphe
Published in: IEEE Transactions on Automatic Control, Issue 2, 2018, ISSN 0018-9286
Publisher: Institute of Electrical and Electronics Engineers

Conal Distances Between Rational Spectral Densities

Author(s): Giacomo Baggio, Augusto Ferrante, Rodolphe Sepulchre
Published in: IEEE Transactions on Automatic Control, Issue 64/5, 2019, Page(s) 1848-1857, ISSN 0018-9286
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tac.2018.2855114

Dominance margins for feedback systems

Author(s): Alberto Padoan, Fulvio Forni, Rodolphe Sepulchre
Published in: IFAC-PapersOnLine, Issue 52/16, 2019, Page(s) 658-663, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2019.12.037

Analysis of Lur’e dominant systems in the frequency domain

Author(s): Félix A. Miranda-Villatoro, Fulvio Forni, Rodolphe J. Sepulchre
Published in: Automatica, Issue 98, 2018, Page(s) 76-85, ISSN 0005-1098
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.automatica.2018.09.007

Neuromodulation of Neuromorphic Circuits

Author(s): Luka Ribar, Rodolphe Sepulchre
Published in: IEEE Transactions on Circuits and Systems I: Regular Papers, Issue 66/8, 2019, Page(s) 3028-3040, ISSN 1549-8328
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/TCSI.2019.2907113

Positivity, Monotonicity, and Consensus on Lie Groups

Author(s): Cyrus Mostajeran, Rodolphe Sepulchre
Published in: SIAM Journal on Control and Optimization, Issue 56/3, 2018, Page(s) 2436-2461, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1127168

Geometric Distance Between Positive Definite Matrices of Different Dimensions

Author(s): Lek-Heng Lim, Rodolphe Sepulchre, Ke Ye
Published in: IEEE Transactions on Information Theory, Issue 65/9, 2019, Page(s) 5401-5405, ISSN 0018-9448
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tit.2019.2913874

Monotonicity on homogeneous spaces

Author(s): Cyrus Mostajeran, Rodolphe Sepulchre
Published in: Mathematics of Control, Signals, and Systems, Issue 30/4, 2018, ISSN 0932-4194
Publisher: Springer Verlag
DOI: 10.1007/s00498-018-0229-x

Differentially passive circuits that switch and oscillate

Author(s): F.A. Miranda-Villatoro, F. Forni, R. Sepulchre
Published in: IFAC-PapersOnLine, Issue 51/13, 2018, Page(s) 19-24, ISSN 2405-8963
Publisher: Elsevier
DOI: 10.1016/j.ifacol.2018.07.248

Cellular switches orchestrate rhythmic circuits

Author(s): Guillaume Drion, Alessio Franci, Rodolphe Sepulchre
Published in: Biological Cybernetics, Issue 113/1-2, 2019, Page(s) 71-82, ISSN 0340-1200
Publisher: Springer Verlag
DOI: 10.1007/s00422-018-0778-6

Control Across Scales by Positive and Negative Feedback

Author(s): R. Sepulchre, G. Drion, A. Franci
Published in: Annual Review of Control, Robotics, and Autonomous Systems, Issue 2/1, 2019, Page(s) 89-113, ISSN 2573-5144
Publisher: Annual Reviews
DOI: 10.1146/annurev-control-053018-023708

From biophysical to integrate-and-fire modelling

Author(s): Van Pottelbergh, Tomas; Drion, Guillaume; Sepulchre, Rodolphe
Published in: Neural Computation, Issue 21, 2021, ISSN 1530-888X
Publisher: MIT Press
DOI: 10.1162/neco_a_01353

Feedback identification of conductance-based models

Author(s): Thiago B. Burghi; Maarten Schoukens; Rodolphe Sepulchre
Published in: Automatica, 123:109297. Agon Elsevier, Issue 33, 2021, ISSN 0005-1098
Publisher: Pergamon Press Ltd.
DOI: 10.17863/cam.59270

The geometry of rest–spike bistability

Author(s): Giuseppe Ilario Cirillo, Rodolphe Sepulchre
Published in: The Journal of Mathematical Neuroscience, Issue 10/1, 2020, ISSN 2190-8567
Publisher: Springer Verlag
DOI: 10.1186/s13408-020-00090-z

Conference proceedings (10)

Neuronal behaviors: A control perspective

Author(s): Guillaume Drion, Timothy O'Leary, Julie Dethier, Alessio Franci, Rodolphe Sepulchre
Published in: 2015 54th IEEE Conference on Decision and Control (CDC), 2015, Page(s) 1923-1944, ISBN 978-1-4799-7886-1
Publisher: IEEE
DOI: 10.1109/CDC.2015.7402491

A dissipativity theorem for p-dominant systems

Author(s): Fulvio Forni, Rodolphe Sepulchre
Published in: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017, Page(s) 3467-3472, ISBN 978-1-5090-2873-3
Publisher: IEEE
DOI: 10.1109/CDC.2017.8264167

Realization of nonlinear behaviors from organizing centers

Author(s): Alessio Franci, Rodolphe Sepulchre
Published in: 53rd IEEE Conference on Decision and Control, 2014, Page(s) 56-61, ISBN 978-1-4673-6090-6
Publisher: IEEE
DOI: 10.1109/CDC.2014.7039359

Sparse plus low-rank autoregressive identification in neuroimaging time series

Author(s): Raphael Liegeois, Bamdev Mishra, Mattia Zorzi, Rodolphe Sepulchre
Published in: 2015 54th IEEE Conference on Decision and Control (CDC), 2015, Page(s) 3965-3970, ISBN 978-1-4799-7886-1
Publisher: IEEE
DOI: 10.1109/CDC.2015.7402835

Bursting through interconnection of excitable circuits

Author(s): Luka Ribar, Rodolphe Sepulchre
Published in: 2017 IEEE Biomedical Circuits and Systems Conference (BioCAS), 2017, Page(s) 1-4, ISBN 978-1-5090-5803-7
Publisher: IEEE
DOI: 10.1109/BIOCAS.2017.8325132

Differentially passive circuits that switch and oscillate

Author(s): Felix Miranda, Fulvio Forni, Rodolphe Sepulchre
Published in: Proceedings 2nd IFAC Conference on Modeling, Identification, and Control of Nonlinear Systems, Mexico - June 2018., 2018
Publisher: Elsevier

Strongly unimodal systems

Author(s): Christian Grussler, Rodolphe Sepulchre
Published in: 2019 18th European Control Conference (ECC), 2019, Page(s) 3273-3278, ISBN 978-3-907144-00-8
Publisher: IEEE
DOI: 10.23919/ecc.2019.8795964

Control by neuromodulation: A tutorial

Author(s): Rodolphe Sepulchre, Timothy O'Leary, Guillaume Drion, Alessio Franci
Published in: 2019 18th European Control Conference (ECC), 2019, Page(s) 483-497, ISBN 978-3-907144-00-8
Publisher: IEEE
DOI: 10.23919/ecc.2019.8795686

Feedback for nonlinear system identification

Author(s): Thiago Burghi, Maarten Schoukens, Rodolphe Sepulchre
Published in: 2019 18th European Control Conference (ECC), 2019, Page(s) 1344-1349, ISBN 978-3-907144-00-8
Publisher: IEEE
DOI: 10.23919/ecc.2019.8795769

The H ∞,p norm as the differential L 2,p gain of a p-dominant system

Author(s): Alberto Padoan, Fulvio Forni, Rodolphe Sepulchre
Published in: 2019 IEEE 58th Conference on Decision and Control (CDC), 2019, Page(s) 6748-6753, ISBN 978-1-7281-1398-2
Publisher: IEEE
DOI: 10.1109/cdc40024.2019.9029831

Monographic books (1)

Emerging Applications of Control and Systems Theory

Author(s): Roberto Tempo, Stephen Yurkovich, Pradeep Misra
Published in: Lecture Notes in Control and Information Sciences - Proceedings, 2018, ISBN 978-3-319-67068-3
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-67068-3