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Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity

Abstract : We propose a new design technique for the stabilization of coupled ODE-PDE systems in feedforward form. In particular, we address the stabilization problem of a one-dimensional transport equation driven by a scalar ODE which is controlled via a cone-bounded nonlinearity. The unforced transport equation is conservative but not asymptotically stable. The proposed technique is inspired by the forwarding approach early introduced in the 90's. Well-posedness and asymptotic stability of the closed-loop system are discussed.
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https://hal.archives-ouvertes.fr/hal-02971503
Contributor : Daniele Astolfi <>
Submitted on : Friday, October 23, 2020 - 4:04:34 PM
Last modification on : Wednesday, October 28, 2020 - 3:05:46 AM

Identifiers

  • HAL Id : hal-02971503, version 2
  • ARXIV : 2010.13417

Citation

Swann Marx, Lucas Brivadis, Daniele Astolfi. Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity. 59th IEEE Conference on Decision and Control, Dec 2020, Jeju Island, South Korea. ⟨hal-02971503v2⟩

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