Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws
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Publication:2362322
DOI10.2140/apde.2017.10.1089zbMath1365.93391arXiv1702.04016OpenAlexW3208685521MaRDI QIDQ2362322
Ivonne Rivas, Shengquan Xiang, Jean-Michel Coron
Publication date: 7 July 2017
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.04016
Stabilization of systems by feedback (93D15) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic stability in control theory (93D20)
Related Items (10)
On the asymptotic stability of the Korteweg-de Vries equation with time-delayed internal feedback ⋮ Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations ⋮ Quadratic Approximation and Time-Varying Feedback Laws ⋮ Quadratic behaviors of the 1D linear Schrödinger equation with bilinear control ⋮ Small-time local stabilization for a Korteweg-de Vries equation ⋮ Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach ⋮ Open loop stabilization of incompressible Navier-Stokes equations in a 2d channel using power series expansion ⋮ Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory ⋮ Small-time global stabilization of the viscous Burgers equation with three scalar controls ⋮ Cost for a controlled linear KdV equation
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