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On local finite-time stabilization of the Viscous Burgers equation via boundary switched linear feedback

Abstract : This paper considers the problem of local finite-time stabilization of the viscous Burgers equation. A boundary switched linear control with state dependent switching law is designed based on the Backstepping approach. The strategy builds on discontinuous kernels which render the control function a piecewise continuous one. It is proved that such a control stabilizes locally the viscous Burgers equation and that the settling time depends on initial conditions. A simulation result is provided to validate the theoretical results.
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Submitted on : Saturday, November 2, 2019 - 10:04:20 AM
Last modification on : Thursday, March 24, 2022 - 3:42:56 AM
Long-term archiving on: : Monday, February 3, 2020 - 1:26:18 PM

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  • HAL Id : hal-02343238, version 1

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Nicolás Espitia, Andrey Polyakov, Emilia Fridman. On local finite-time stabilization of the Viscous Burgers equation via boundary switched linear feedback. CDC 2019 - 58thIEEE Conference on Decision and Control,, Dec 2019, Nice, France. ⟨hal-02343238⟩

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