Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space
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Publication:5854412
DOI10.1051/COCV/2020061zbMATH Open1470.93137arXiv2005.13269OpenAlexW3088321989MaRDI QIDQ5854412
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Publication date: 17 March 2021
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/2005.13269
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