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Research Output 2008 2019

2019

Dictionary learning in Extended Dynamic Mode Decomposition using a reservoir computer

Gulina, M. & Mauroy, A., 19 Mar 2019, 38th Benelux Meeting on Systems and Control: Book of Abstracts. p. 42 211 p.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Glossaries
Nonlinear systems
Decomposition

Global stability analysis

Mauroy, A., Sootla, A. & Mezić, I., 2019, (Accepted/In press) The Koopman Operator in Systems and Control: Theory, Numerics, and Applications. Springer

Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter (peer-reviewed)

Introduction to the Koopman operator in systems and control theory

Mauroy, A., Susuki, Y. & Mezić, I., 2019, (Accepted/In press) The Koopman Operator in Systems and Control: Theory, Numerics, and Applications. Springer

Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter (peer-reviewed)

24 Downloads (Pure)

Koopman-based lifting techniques for nonlinear systems identification

Mauroy, A. & Goncalves, J., 2019, In : IEEE Transactions on Automatic Control. 16 p.

Research output: Contribution to journalArticle

Open Access
File
Nonlinear systems
Identification (control systems)
Sampling
Derivatives

Parameter estimation and identification of nonlinear systems

Mauroy, A. & Goncalves, J., 2019, (Accepted/In press) The Koopman Operator in Systems and Control: Theory, Numerics, and Applications. Springer

Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter (peer-reviewed)

The Koopman Operator in Systems and Control: Theory, Numerics, and Applications

Mauroy, A., Mezić, I. & Susuki, Y., 2019, (Accepted/In press) 1 ed. Springer. 559 p. (Lecture Notes in Control and Information Sciences)

Research output: Book/Report/JournalBook

Control theory
Mathematical operators
Structural analysis
Numerical methods
Identification (control systems)
2018

Dual systems identification methods based on Koopman operator theory

Mauroy, A. & Goncalves, J., Sep 2018, Proceedings of the SICE Conference. p. 64-67 4 p.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Identification (control systems)
Glossaries
Parameter estimation
Mathematical operators
9 Downloads (Pure)

Global computation of phase-amplitude reduction for limit-cycle dynamics

Mauroy, A. & Mezić, I., 1 Jul 2018, In : Chaos: an interdisciplinary journal of nonlinear science. 28, 7, 23 p., 073108.

Research output: Contribution to journalArticle

File
Limit Cycle
cycles
Eigenvalues and eigenfunctions
Laplace transformation
Harmonic Balance

Introduction to the Koopman operator in Systems and Control

Mauroy, A. & Susuki, Y., Sep 2018, Proceedings of the SICE Conference. p. 59-63 5 p.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Operator Theory
Operator
Nonlinear Control Systems
Nonlinear Dynamical Systems
Structural Analysis

Operator-theoretic characterization of eventually monotone systems

Sootla, A. & Mauroy, A., 1 Jul 2018, In : Control Systems Letters (L-CSS). 2, 3, p. 429-434 6 p.

Research output: Contribution to journalArticle

Monotone Systems
Operator
Monotonicity
Linear systems
Cones
9 Downloads (Pure)

Optimal control formulation of pulse-based control using Koopman operator

Sootla, A., Mauroy, A. & Damien, E., 1 May 2018, In : Automatica. 91, p. 217-224 8 p.

Research output: Contribution to journalArticle

Open Access
File
Nonlinear systems
Trajectories
Synthetic Biology
7 Downloads (Pure)

Spectral identification of networks with inputs

Mauroy, A. & Hendrickx, J. M., 18 Jan 2018, 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Institute of Electrical and Electronics Engineers Inc., Vol. 2018-January. p. 469–474 6 p. (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017; vol. 2018-January).

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

File
Eigenvalues and eigenfunctions
Nonlinear systems
Dynamical systems
Trajectories
2017
9 Downloads (Pure)

Geometric properties of isostables and basins of attraction of monotone systems

Mauroy, A. & Sootla, A., 2017, In : IEEE Transactions on Automatic Control. 62, 12, p. 6183-6194 12 p.

Research output: Contribution to journalArticle

Open Access
File
Eigenvalues and eigenfunctions
Nonlinear dynamical systems
System theory
Uncertainty

Spectral identification of networks using sparse measurements

Mauroy, A. & HENDRICKX, J., 2017, In : SIAM Journal on Applied Dynamical Systems. 16, 1, p. 479-513 35 p.

Research output: Contribution to journalArticle

Numerical methods
Dynamical systems
Spectral Properties
Topology
Decomposition
2016

A spectral characterization of nonlinear normal modes

Cirillo, G. I., Mauroy, A., Renson, L., Kerschen, G. & Sepulchre, R., 1 Sep 2016, In : Journal of Sound and Vibration. 377, p. 284-301 18 p.

Research output: Contribution to journalArticle

Eigenvalues and eigenfunctions
operators
folding
eigenvectors
degrees of freedom

Global Stability Analysis Using the Eigenfunctions of the Koopman Operator

Mauroy, A. & Mezić, I., 1 Nov 2016, In : IEEE Transactions on Automatic Control. 61, 11, p. 3356-3369 14 p., 7384725.

Research output: Contribution to journalArticle

Convergence of numerical methods
Eigenvalues and eigenfunctions
Mathematical operators
Nonlinear systems
Linear stability analysis

Linear identification of nonlinear systems: A lifting technique based on the Koopman operator

Mauroy, A. & Goncalves, J., 27 Dec 2016, 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., p. 6500-6505 6 p. 7799269

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Nonlinear System Identification
Nonlinear systems
Identification (control systems)
Nonlinear Systems
Infinite-dimensional Spaces

Optimising time-series experimental design for modelling of circadian rhythms: the value of transient data

Mombaerts, L., Mauroy, A. & Gonçalves, J., 2016, Proceedings of the 6th IFAC Conference on Foundations of Systems Biology in Engineering. 26 ed. Vol. 49. p. 109-113 5 p. (IFAC-PapersOnLine).

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Design of experiments
Clocks
Time series
Complex networks
Switches

Properties of isostables and basins of attraction of monotone systems

Sootla, A. & Mauroy, A., 28 Jul 2016, 2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., Vol. 2016-July. p. 7365-7370 6 p. 7526835

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Nonlinear systems
Uncertainty

Shaping Pulses to Control Bistable Monotone Systems Using Koopman Operator

Sootla, A., Mauroy, A. & Goncalves, J., 2016, Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS). 18 ed. Vol. 49. p. 698-703 6 p. (IFAC-PapersOnLine).

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Switching functions
Pulse shaping
System theory
Eigenvalues and eigenfunctions
Feedback control

The four bars problem

Mauroy, A., Taslakian, P., Langerman, S. & Jungers, R., 26 Jul 2016, In : Nonlinearity. 29, 9, p. 2657-2673 17 p.

Research output: Contribution to journalArticle

Linkage
linkages
apexes
Irrational number
Circle
2015

An operator-theoretic approach to differential positivity

Mauroy, A., Forni, F. & Sepulchre, R., 8 Feb 2015, 54th IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., p. 7028-7033 6 p. 7403327

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Positive Systems
Linearization
Positivity
Limit Cycle
Cones

Extreme phase sensitivity in systems with fractal isochrons

Mauroy, A. & Mezić, I., 6 Jul 2015, In : Physica D: Nonlinear Phenomena. 308, p. 40-51 12 p.

Research output: Contribution to journalArticle

neurons
fractals
phase response
strange attractors
coefficients

Global parametrization of the invariant manifold defining nonlinear normal modes using the koopman operator

Cirillo, G. I., Mauroy, A., Renson, L., Kerschen, G. & Sepulchre, R., 2015, 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME), Vol. 6.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Normal Modes
Invariant Manifolds
Parametrization
Geometric Approach
Spectral Theory
2014

Converging to and escaping from the global equilibrium: Isostables and optimal control

Mauroy, A., 2014, Proceedings of the 53rd IEEE Conference on Decision and Control. February ed. Vol. 2015-February. p. 5888-5893 6 p.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Optimal Control
Trajectory
Pontryagin Maximum Principle
Finite Horizon
Optimal Strategy

Global isochrons and phase sensitivity of bursting neurons

Mauroy, A., Rhoads, B., Moehlis, J. & Mezíc, I., 2014, In : SIAM Journal on Applied Dynamical Systems. 13, 1, p. 306-338 33 p.

Research output: Contribution to journalArticle

Bursting
Neurons
Neuron
Neuron Model
Singular Perturbation Theory
2013

A spectral operator-theoretic framework for global stability

Mauroy, A. & Mezić, I., 2013, 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., p. 5234-5239 6 p. 6760712

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Global Stability
Stability Analysis
Global Analysis
Spectral Properties
Operator

Global analysis of a continuum model for monotone pulse-coupled oscillators

Mauroy, A. & Sepulchre, R. J., 2013, In : IEEE Transactions on Automatic Control. 58, 5, p. 1154-1166 13 p.

Research output: Contribution to journalArticle

Lyapunov functions

Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics

Mauroy, A., Mezić, I. & Moehlis, J., 2013, In : Physica D: Nonlinear Phenomena. 261, p. 19-30 12 p.

Research output: Contribution to journalArticle

trajectories
operators
asymptotic properties
Liapunov functions
linearization
2012

Contraction of monotone phase-coupled oscillators

Mauroy, A. & Sepulchre, R., Nov 2012, In : Systems and Control Letters. 61, 11, p. 1097-1102 6 p.

Research output: Contribution to journalArticle

Synchronization

Kick synchronization versus diffusive synchronization

Mauroy, A., Sacre, P. & Sepulchre, R., 2012, Proceedings of the 51st IEEE Conference on Decision and Control (invited tutorial paper). Institute of Electrical and Electronics Engineers Inc., p. 7171-7183 13 p.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Synchronization
Weak Coupling
Hybrid Model
Analogy
Continuous Time

On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics

Mauroy, A. & Mezić, I., 5 Jul 2012, In : Chaos. 22, 3, 033112.

Research output: Contribution to journalArticle

Basin of Attraction
Eigenvalues and eigenfunctions
attraction
Eigenfunctions
eigenvectors
2011

Local stability results for the collective behaviors of infinite populations of pulse-coupled oscillators

Mauroy, A. & Sepulchre, R., 2011, Proceedings of the 50th IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers Inc., p. 6754-6759 6 p. 6160621

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Collective Behavior
Local Stability
Coupled Oscillators
Finite Population
Weak Coupling
2010
3 Downloads (Pure)

Global analysis of firing maps

Mauroy, A., Hendrickx, J. M., Megretski, A. & Sepulchre, R., Jul 2010, Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS). p. 1775-1782 8 p.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

Open Access
File
oscillators
dichotomies
thresholds
scalars
synchronism
2008

Clustering behaviors in networks of integrate-and-fire oscillators

Mauroy, A. & Sepulchre, R., 2008, In : Chaos. 18, 3, 037122.

Research output: Contribution to journalArticle

Fires
Integrate
oscillators
Clustering
Synchronization