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

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