Guilherme Mazanti

Articles in peer-reviewed journals

Preprints

I. Boussaada, G. Mazanti, S.-I. Niculescu, W. Michiels. Decay Rate Assignment through Multiple Spectral Values in Delay Systems.
[BibTeX]

Published articles

Y. Chitour, S. Fueyo, G. Mazanti, M. Sigalotti. Hautus–Yamamoto criteria for approximate and exact controllability of linear difference delay equations. Discrete Contin. Dyn. Syst, 43(9):3306–3337, 2023.
[doi] [arXiv] [HAL] [BibTeX]
S. Fueyo, G. Mazanti, I. Boussaada, Y. Chitour, S.-I. Niculescu. On the pole placement of scalar linear delay systems with two delays. IMA J. Math. Control Inform, 40(1):81–105, 2023.
[doi] [arXiv] [HAL] [BibTeX]
Y. Chitour, G. Mazanti, P. Monmarché, M. Sigalotti. On the gap between deterministic and probabilistic Lyapunov exponents for continuous-time linear systems. Electron. J. Probab., 28:Paper No. 43, 39 pp., 2023.
[doi] [arXiv] [HAL] [BibTeX]
S. Sadeghi Arjmand, G. Mazanti. Nonsmooth mean field games with state constraints. ESAIM Control Optim. Calc. Var, 28:Paper No. 74, 42 pp., 2022.
[doi] [arXiv] [HAL] [BibTeX]
S. Sadeghi Arjmand, G. Mazanti. Multipopulation minimal-time mean field games. SIAM J. Control Optim., 60(4):1942–1969, 2022.
[doi] [arXiv] [HAL] [BibTeX]
I. Boussaada, G. Mazanti, S.-I. Niculescu. The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of Kummer functions. C. R. Math. Acad. Sci. Paris, 360:349–369, 2022.
[doi] [arXiv] [HAL] [BibTeX]
I. Boussaada, G. Mazanti, S.-I. Niculescu. Some remarks on the location of non-asymptotic zeros of Whittaker and Kummer hypergeometric functions. Bull. Sci. Math, 174:Paper No. 103093, 12 pp., 2022.
[doi] [arXiv] [HAL] [BibTeX]
R. Ducasse, G. Mazanti, F. Santambrogio. Second order local minimal-time mean field games. NoDEA Nonlinear Differential Equations Appl., 29:Paper No. 37, 32 pp., 2022.
[doi] [arXiv] [cvgmt] [HAL] [BibTeX]
G. Mazanti, I. Boussaada, S.-I. Niculescu. Multiplicity-induced-dominancy for delay-differential equations of retarded type. J. Differential Equations, 286:84–118, 2021.
[doi] [arXiv] [HAL] [BibTeX]
Y. Chitour, S. Marx, G. Mazanti. One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates. ESAIM Control Optim. Calc. Var, 27:Paper No. 84, 62 pp., 2021.
[doi] [arXiv] [HAL] [BibTeX]
Y. Chitour, G. Mazanti, M. Sigalotti. On the gap between deterministic and probabilistic joint spectral radii for discrete-time linear systems. Linear Algebra Appl., 613:24–45, 2021.
[doi] [arXiv] [HAL] [BibTeX]
The published version of the paper contains some imprecisions in the proof of Lemma 3.2 due to the definition of probabilistic joint spectral radius used in the paper. The updated post-publication version or arXiv and HAL contains an additional remark and a more precise proof of Lemma 3.2.
S. Dweik, G. Mazanti. Sharp semi-concavity in a non-autonomous control problem and L^p estimates in an optimal-exit MFG. NoDEA Nonlinear Differential Equations Appl., 27(2):Paper No. 11, 59 pp., 2020.
[doi] [arXiv] [cvgmt] [HAL] [BibTeX]
Y. Chitour, G. Mazanti, M. Sigalotti. Approximate and exact controllability of linear difference equations. J. Éc. polytech. Math., 7:93–142, 2020.
[doi] [arXiv] [HAL] [BibTeX]
G. Mazanti, F. Santambrogio. Minimal-time mean field games. Math. Models Methods Appl. Sci., 29(8):1413–1464, 2019.
[doi] [arXiv] [cvgmt] [HAL] [BibTeX]
F. Colonius, G. Mazanti. Decay rates for stabilization of linear continuous-time systems with random switching. Math. Control Relat. Fields, 9(1):39–58, 2019.
[doi] [arXiv] [HAL] [BibTeX]
G. Mazanti. Relative controllability of linear difference equations. SIAM J. Control Optim., 55(5):3132–3153, 2017.
[doi] [arXiv] [HAL] [BibTeX]
Y. Tang, G. Mazanti. Stability analysis of coupled linear ODE-hyperbolic PDE systems with two time scales. Automatica J. IFAC, 85:386–396, 2017.
[doi] [HAL] [BibTeX]
Y. Chitour, G. Mazanti, M. Sigalotti. Persistently damped transport on a network of circles. Trans. Amer. Math. Soc., 369(6):3841–3881, 2017.
[doi] [arXiv] [HAL] [BibTeX]
Y. Chitour, G. Mazanti, M. Sigalotti. Stability of non-autonomous difference equations with applications to transport and wave propagation on networks. Netw. Heterog. Media, 11(4):563–601, 2016.
[doi] [arXiv] [HAL] [BibTeX]
G. Mazanti. Stabilization of persistently excited linear systems by delayed feedback laws. Systems Control Lett., 68:57–67, 2014.
[doi] [HAL] [BibTeX]
G. Mazanti, Y. Chitour, M. Sigalotti. Stabilization of two-dimensional persistently excited linear control systems with arbitrary rate of convergence. SIAM J. Control Optim., 51(2):801–823, 2013.
[doi] [HAL] [BibTeX]

Articles in conference proceedings

Accepted articles

G. Arias, S. Marx, G. Mazanti. Frequency domain approach for the stability analysis of a fast hyperbolic PDE coupled with a slow ODE. 62nd IEEE Conference on Decision and Control (CDC 2023), 2023.
[arXiv] [HAL] [BibTeX]

Published articles

I. Boussaada, G. Mazanti, S.-I. Niculescu, A. Benarab. MID Property for Delay Systems: Insights on Spectral Values with Intermediate Multiplicity. 61st IEEE Conference on Decision and Control (CDC 2022), 6881–6888, 2022.
[doi] [arXiv] [HAL] [BibTeX]
H. Cavalera, J. Raj, G. Mazanti, C. Bonnet. YALTAPy and YALTAPy_Online: Python toolboxes for the H_∞-stability analysis of classical and fractional systems with commensurate delays. 17th IFAC Workshop on Time Delay Systems (TDS 2022). IFAC-PapersOnLine, 55(36):192–197, 2022.
[doi] [arXiv] [HAL] [BibTeX]
I. Boussaada, G. Mazanti, S.-I. Niculescu, A. Hammoumou, T. Millet, J. Raj, J. Huynh. New Features of P3δ Software. Insights and Demos. 17th IFAC Workshop on Time Delay Systems (TDS 2022). IFAC-PapersOnLine, 55(36):246–251, 2022.
[doi] [arXiv] [HAL] [BibTeX]
I. Boussaada, G. Mazanti, S.-I. Niculescu. Padé approximation and hypergeometric functions: A missing link with the spectrum of delay-differential equations. 25th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2022). IFAC-PapersOnLine, 55(30):206–211, 2022.
[doi] [arXiv] [HAL] [BibTeX]
S. Sadeghi Arjmand, G. Mazanti. On the characterization of equilibria of nonsmooth minimal-time mean field games with state constraints. 2021 60th IEEE Conference on Decision and Control (CDC), 5300–5305, 2021.
[doi] [arXiv] [HAL] [BibTeX]
I. Boussaada, G. Mazanti, S.-I. Niculescu, A. Leclerc, J. Raj, M. Perraudin. New Features of P3δ software: Partial Pole Placement via Delay Action. 16th IFAC Workshop on Time Delay Systems (IFAC TDS 2021). IFAC-PapersOnLine, 54(18):215–221, 2021.
[doi] [arXiv] [HAL] [BibTeX]
S. Fueyo, G. Mazanti, I. Boussaada, Y. Chitour, S.-I. Niculescu. Insights into the multiplicity-induced-dominancy for scalar delay-differential equations with two delays. 16th IFAC Workshop on Time Delay Systems (IFAC TDS 2021). IFAC-PapersOnLine, 54(18):108–114, 2021.
[doi] [arXiv] [HAL] [BibTeX]
S.-I. Niculescu, I. Boussaada, X.-G. Li, G. Mazanti, C.-F. Méndez-Barrios. Stability, delays and multiple characteristic roots in dynamical systems: A guided tour. 16th IFAC Workshop on Time Delay Systems (IFAC TDS 2021). IFAC-PapersOnLine, 54(18):222–239, 2021.
[doi] [arXiv] [HAL] [BibTeX]
G. Mazanti, I. Boussaada, S.-I. Niculescu, Y. Chitour. Effects of roots of maximal multiplicity on the stability of some classes of delay differential-algebraic systems: the lossless propagation case. 24th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2020). IFAC-PapersOnLine, 54(9):764–769, 2021.
[doi] [arXiv] [HAL] [BibTeX]
A. Benarab, I. Boussaada, K. Trabelsi, G. Mazanti, C. Bonnet. The MID property for a second-order neutral time-delay differential equation. 2020 24th International Conference on System Theory, Control and Computing (ICSTCC), 202–207, 2020.
[doi] [HAL] [BibTeX]
I. Boussaada, G. Mazanti, S.-I. Niculescu, J. Huynh, F. Sim, M. Thomas. Partial pole placement via delay action: A Python software for delayed feedback stabilizing design. 2020 24th International Conference on System Theory, Control and Computing (ICSTCC), 196–201, 2020.
[doi] [arXiv] [HAL] [BibTeX]
G. Mazanti, I. Boussaada, S.-I. Niculescu, T. Vyhlídal. Spectral dominance of complex roots for single-delay linear equations. 21st IFAC World Congress. IFAC-PapersOnLine, 53(2):4357–4362, 2020.
[doi] [arXiv] [HAL] [BibTeX]
G. Mazanti, I. Boussaada, S.-I. Niculescu. On qualitative properties of single-delay linear retarded differential equations: Characteristic roots of maximal multiplicity are necessarily dominant. 21st IFAC World Congress. IFAC-PapersOnLine, 53(2):4345–4350, 2020.
[doi] [arXiv] [HAL] [BibTeX]

Book chapters

Y. Chitour, G. Mazanti, M. Sigalotti. Stabilization of persistently excited linear systems. In J. Daafouz, S. Tarbouriech, M. Sigalotti, editors, Hybrid Systems with Constraints, chapter 4, 85–120. Automation — Control and Industrial Engineering Series, Wiley-ISTE, London, UK, 2013.
[doi] [HAL] [pdf] [BibTeX]

Edited books

J. Auriol, J. Deutscher, G. Mazanti, G. Valmorbida. Advances in Distributed Parameter Systems. Advances in Delays and Dynamics, volume 14. Springer, Cham, Switzerland, 2022.
[doi] [HAL] [BibTeX]

Theses and dissertations

G. Mazanti. Stability and stabilization of linear switched systems in finite and infinite dimensions. PhD Thesis. École Polytechnique, University Paris–Saclay, Palaiseau, France, September 2016.
[HAL] [theses.fr] [pdf] [Errata] [BibTeX]
G. Mazanti. Persistence of excitation on delayed systems and on a damped transport equation. M2 Master's Thesis. École Polytechnique, Palaiseau, France, September 2013.
[pdf] [BibTeX]
G. Mazanti. Stabilization of persistently excited linear systems. M1 Master's Thesis. École Polytechnique, Palaiseau, France, June 2011.
[pdf] [BibTeX]
G. Mazanti. Switched systems: an overview. Undergraduate Thesis. São Carlos School of Engineering (EESC), University of São Paulo (USP), São Carlos – SP, Brazil, November 2011.
[USP] [pdf] [BibTeX]