Small-time global stabilization of the viscous Burgers equation with three scalar controls JM Coron, S Xiang Journal de Mathématiques Pures et Appliquées 151, 212-256, 2021 | 31 | 2021 |
Null controllability of a linearized Korteweg--de Vries equation by backstepping approach S Xiang SIAM Journal on Control and Optimization 57 (2), 1493-1515, 2019 | 27 | 2019 |
Local exponential stabilization for a class of Korteweg–de Vries equations by means of time-varying feedback laws JM Coron, I Rivas, S Xiang Analysis & PDE 10 (5), 1089-1122, 2017 | 24 | 2017 |
Stabilization of the linearized water tank system JM Coron, A Hayat, S Xiang, C Zhang Archive for Rational Mechanics and Analysis, 1-79, 2021 | 22 | 2021 |
Small-time local stabilization for a Korteweg–de Vries equation S Xiang Systems & Control Letters 111, 64-69, 2018 | 21 | 2018 |
Quantitative rapid and finite time stabilization of the heat equation S Xiang arXiv preprint arXiv:2010.04696, 2020 | 16 | 2020 |
Fredholm transformation on Laplacian and rapid stabilization for the heat equation L Gagnon, A Hayat, S Xiang, C Zhang Journal of Functional Analysis 283 (12), 109664, 2022 | 14 | 2022 |
Traffic Control via Connected and Automated Vehicles: An Open-Road Field Experiment with 100 CAVs JW Lee, H Wang, K Jang, A Hayat, M Bunting, A Alanqary, W Barbour, ... arXiv preprint arXiv:2402.17043, 2024 | 12 | 2024 |
On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities JM Coron, S Xiang, P Zhang Journal of Differential Equations 345, 1-44, 2023 | 10 | 2023 |
Small-time local stabilization of the two-dimensional incompressible Navier–Stokes equations S Xiang Annales de l'Institut Henri Poincaré C 40 (6), 1487-1511, 2023 | 8 | 2023 |
Traffic smoothing via connected & automated vehicles: A modular, hierarchical control design deployed in a 100-cav flow smoothing experiment JW Lee, H Wang, K Jang, A Hayat, M Bunting, A Alanqary, W Barbour, ... IEEE Control Systems Magazine, 2024 | 6 | 2024 |
Boundary stabilization of focusing NLKG near unstable equilibria: radial case J Krieger, S Xiang arXiv preprint arXiv:2004.07616, 2020 | 5 | 2020 |
Cost for a controlled linear KdV equation J Krieger, S Xiang ESAIM: Control, Optimisation and Calculus of Variations 27, S21, 2021 | 4 | 2021 |
Traffic smoothing using explicit local controllers A Hayat, A Alanqary, R Bhadani, C Denaro, RJ Weightman, S Xiang, ... arXiv preprint arXiv:2310.18151, 2023 | 3 | 2023 |
Semi-global controllability of a geometric wave equation J Krieger, S Xiang arXiv preprint arXiv:2205.00915, 2022 | 3 | 2022 |
Fredholm backstepping for critical operators and application to rapid stabilization for the linearized water waves L Gagnon, A Hayat, S Xiang, C Zhang arXiv preprint arXiv:2202.08321, 2022 | 3 | 2022 |
Boundary stabilization of the focusing NLKG equation near unstable equilibria: radial case J Krieger, S Xiang Pure and Applied Analysis 5 (4), 833-894, 2023 | 2 | 2023 |
Exponential mixing for random nonlinear wave equations: weak dissipation and localized control Z Liu, D Wei, S Xiang, Z Zhang, JC Zhao arXiv preprint arXiv:2407.15058, 2024 | 1 | 2024 |
Global controllability and stabilization of the wave maps equation from a circle to a sphere JM Coron, J Krieger, S Xiang arXiv preprint arXiv:2307.08329, 2023 | 1 | 2023 |
Local large deviations for randomly forced nonlinear wave equations with localized damping Y Chen, Z Liu, S Xiang, Z Zhang arXiv preprint arXiv:2409.11717, 2024 | | 2024 |