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hal-00730190v1  Journal articles
Eduardo Cerpa, Jean-Michel Coron. Rapid stabilization for a Korteweg-de Vries equation from the left Dirichlet boundary condition
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (7), pp.1688--1695. ⟨10.1109/TAC.2013.2241479⟩
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hal-01723178v1  Journal articles
Shengquan Xiang. Small-time local stabilization for a Korteweg-de Vries equation
Systems and Control Letters, Elsevier, 2018, Volume 111, pp.Pages 64-69
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hal-00726867v1  Journal articles
Jean-Michel Coron, Rafael Vazquez, Miroslav Krstic, Georges Bastin. Local exponential H^2 stabilization of a 2X2 quasilinear hyperbolic system using backstepping
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2013, 51 (3), pp.2005--2035. ⟨10.1137/120875739⟩
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hal-03161523v1  Preprints, Working Papers, ...
Jean-Michel Coron, Amaury Hayat, Shengquan Xiang, Christophe Zhang. Stabilization of the linearized water tank system
2021
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hal-01228895v1  Preprints, Working Papers, ...
Jean-Michel Coron, Hoai-Minh Nguyen. Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach
2015
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hal-02334761v1  Journal articles
Jean-Michel Coron, Hoai-Minh Nguyen. Null-controllability of linear hyperbolic systems in one dimensional space
Systems and Control Letters, Elsevier, 2021, 148, ⟨10.1016/j.sysconle.2020.104851⟩
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hal-01224012v1  Journal articles
Jean-Michel Coron, Long Hu, Guillaume Olive. Stabilization and controllability of first-order integro-differential hyperbolic equations
Journal of Functional Analysis, Elsevier, 2016, 271 (12)
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hal-01468750v2  Journal articles
Shengquan Xiang. Null controllability of a linearized Korteweg-de Vries equation by backstepping approach
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2019, ⟨10.1137/17M1115253⟩
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tel-03001288v1  Theses
Christophe Zhang. Internal control and stabilization of 1-D hyperbolic systems
Analysis of PDEs [math.AP]. Sorbonne Université, 2019. English. ⟨NNT : 2019SORUS435⟩
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tel-02464011v1  Theses
Christophe Zhang. internal control and stabilization of some 1-D hyperbolic systems
Optimization and Control [math.OC]. Sorbonne Université, 2019. English
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hal-01723188v1  Journal articles
Jean-Michel Coron, Shengquan Xiang. Small-time global stabilization of the viscous Burgers equation with three scalar controls
Journal de Mathématiques Pures et Appliquées, Elsevier, 2021, 151 (9), pp.212-256. ⟨10.1016/j.matpur.2021.03.001⟩
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hal-01980349v2  Journal articles
Christophe Zhang. Finite-time internal stabilization of a linear 1-D transport equation
Systems and Control Letters, Elsevier, 2019, 133
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hal-01952134v1  Journal articles
Jean-Michel Coron, Hoai-Minh Nguyen. Optimal time for the controllability of linear hyperbolic systems in one dimensional space
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2019, 57 (2), pp.1127-1156. ⟨10.1137/18M1185600⟩
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hal-02895516v1  Preprints, Working Papers, ...
Jean-Michel Coron, Hoai-Minh Nguyen. Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems
2020
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hal-01905098v3  Preprints, Working Papers, ...
Christophe Zhang. Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback
2020