Small-time local stabilization for a Korteweg-de Vries equation

DOI10.1016/j.sysconle.2017.11.003zbMath1380.93203OpenAlexW2775055269MaRDI QIDQ1697167

Shengquan Xiang

Publication date: 15 February 2018

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2017.11.003

zbMATH Keywords

backsteppingKorteweg-de Vries equation``adding an integrator methodsmall-time stabilization

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) KdV equations (Korteweg-de Vries equations) (35Q53) Linearizations (93B18)

Related Items (8)

Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback ⋮ Stabilization of the linearized water tank system ⋮ 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 ⋮ 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 ⋮ Finite-time internal stabilization of a linear 1-D transport equation

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