Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space - Inria EPFL Access content directly
Journal Articles ESAIM: Control, Optimisation and Calculus of Variations Year : 2020

Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space

Abstract

We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks leading to the finite-time stabilization in any time larger than the optimal time for the null controllability of the linearized system if the initial condition is sufficiently small. One of the key technical points is to establish the local well-posedness of quasilinear hyperbolic systems with nonlinear, non-local boundary conditions.
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Dates and versions

hal-03080852 , version 1 (17-12-2020)

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Jean-Michel Coron, Hoai-Minh Nguyen. Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space. ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.119. ⟨10.1051/cocv/2020061⟩. ⟨hal-03080852⟩
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