Feedback Exponential Stabilization of GHZ States of Multiqubit Systems

Autor: Paolo Mason, Weichao Liang, Nina H. Amini

Publikováno v: IEEE Transactions on Automatic Control. 67:2918-2929

In this paper, we consider stochastic master equations describing the evolution of a multi-qubit system interacting with electromagnetic fields undergoing continuous-time measurements. By considering multiple z-type (Pauli z matrix on different qubit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ba7106ba5525c918c122690853ee1931
https://doi.org/10.1109/tac.2021.3095034

On the decay rate for degenerate gradient flows subject to persistent excitation

Autor: Yacine Chitour, Paolo Mason, Dario Prandi

Publikováno v: IFAC World Congress 2020, Germany
IFAC World Congress 2020, Germany, Jul 2020, Berlin (virtual), Germany. pp.1709-1714

International audience; In this paper, we study the worst rate of exponential decay for degenerate gradient flows in R n of the formẋ(t) = −c(t)c(t) x(t), issued from adaptative control theory, under a persistent excitation (PE) condition. That i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18da7d93f52e9de6076d0f646a35996f
https://doi.org/10.1016/j.ifacol.2020.12.2246

Lyapunov Functions for Shuffle Asymptotic Stability of Discrete-Time Switched Systems

Autor: Paolo Mason, Antoine Girard

Publikováno v: IEEE Control Systems Letters
IEEE Control Systems Letters, IEEE, 2019, 3 (3), pp.499-504. ⟨10.1109/LCSYS.2019.2909731⟩

International audience; In this paper, we investigate stability of discrete-time switched systems under shuffled switching signals. A switching signal is said to be shuffled if each mode of the switched system is activated infinitely often. We introd

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af31843065ec9f5c3238271c5f5995b7
https://doi.org/10.1109/lcsys.2019.2909731

Worst Exponential Decay Rate for Degenerate Gradient flows subject to persistent excitation

Autor: Paolo Mason, Dario Prandi, Yacine Chitour

Publikováno v: SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, In press, 59 (4), pp.3040-3067. ⟨10.1137/20M1343427⟩

In this paper we estimate the worst rate of exponential decay of degenerate gradient flows $\dot x = -S x$, issued from adaptive control theory. Under persistent excitation assumptions on the positive semi-definite matrix $S$, we provide upper bounds

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ae15cbf7bf790b69dae334a37ffa46b
https://hal.archives-ouvertes.fr/hal-02792435

Lower bounds and dense discontinuity phenomena for the stabilizability radius of linear switched systems

Autor: Paolo Mason, Carl P. Dettmann, Raphaël M. Jungers

Publikováno v: Systems & Control Letters, Vol. 142, p. 104737 (2020)
Systems and Control Letters
Systems and Control Letters, Elsevier, 2020, ⟨10.1016/j.sysconle.2020.104737⟩
Dettmann, C P, Jungers, R M & Mason, P 2020, ' Lower bounds and dense discontinuity phenomena for the stabilizability radius of linear switched systems ', Systems and Control Letters, vol. 142, 104737 . https://doi.org/10.1016/j.sysconle.2020.104737

We investigate the stabilizability of discrete-time linear switched systems, when the sole control action of the controller is the switching signal, and when the controller has access to the state of the system in real time. Despite their apparent si

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28ffaecd875cbdba46e6ab4b239482b9
http://arxiv.org/abs/2002.10369