Stability and interactions (STAB)

stability

This research pole deals with the concepts of stability and robustness of various systems, aiming to identify their key structural determinants. In ecology as in financial networks, catastrophic changes in the overall state of a system can ultimately derive from how it is organized — from feedback mechanisms within it, and from latent connections. The change is initiated by interactions, either external (control, disturbance) or internal (coupling).

Keywords: Dynamical systems, Self-organized patterns, Emergent phenomena, Networks, Koopman operator, Control

Contact: Timoteo Carletti (PI of the Dynamics on networks and beyond team), Joseph Winkin, Alexandre Mauroy

Relevant references:

  • T. Carletti, & R. Muolo, Finite propagation enhances Turing patterns in reaction-diffusion networked systems, oct. 2021, J of Physics, Complexity, 2, p. 045004
  • J. Petit, R. Lambiotte, & T. Carletti, Random walks on dense graphs and graphons, nov. 2021, SIAM Journal of Applied Mathematics, 18 (6), p. 2323
  • C. Mugisho Zagabe & A. Mauroy, Uniform global stability of switched nonlinear systems in the Koopman operator framework, to appear in SIAM Journal on Control and Optimization (arXiv:2301.05529)
  • A. Mauroy and A. Sootla, Estimation of regions of attraction with formal certificates in a purely data-driven setting, Proceedins of the IEEE Conference on Decision and Control, 2023 
    C. Mugisho Zagabe & A. Mauroy, On systematic criteria for the global stability of nonlinear systems via the Koopman operator framework, Proceedins of the IEEE Conference on Decision and Control, 2023
  • A sampling theorem for exact identification of continuous-time nonlinear dynamical systems, Z. Zeng, Z. Yue, A. Mauroy, J. Gonçalves, & Y. Yuan, to appear in IEEE Transactions on Automatic Control, 10.1109/TAC.2024.3409639
  • A. Mauroy, Y. Susuki, & I. Mezić, The Koopman Operator in Systems and Control, Springer Ed. 2020.
  • Candy Sonveaux, Joseph J. Winkin, State feedback control law design for an age-dependent SIR model, Automatica, Volume 158, 2023.
  • Judicaël Mohet, Anthony Hastir, Habib Dimassi, Joseph J. Winkin, Alain Vande Wouwer, Infinite-dimensional sliding mode observer analysis for a disturbed linear reaction–convection–diffusion model, Systems & Control Letters, Volume 179, 2023.
  • Anthony Hastir, Judicaël Mohet, Joseph J. Winkin, A frequency domain approach to Kalman filtering on Hilbert spaces: Application to Sturm–Liouville systems with pointwise measurement, 
    Annual Reviews in Control, Volume 55, 2023, Pages 379-389.
  • Pauline Thémans, Flora Tshinanu Musuamba, Joseph J. Winkin, Chapter 3 – Input-output approaches for personalized drug dosing of antibiotics, Editor(s): Esteban A. Hernandez-Vargas, 
    Feedback Control for Personalized Medicine, Academic Press, 2022, Pages 41-65.