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Conference Papers Year : 2019

On robust stability of sine-Gordon equation

Emilia Fridman
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Jean-Pierre Richard


A perturbed sine-Gordon equation is considered under the restrictions on the model parameters corresponding to the single equilibrium in the noise-free case. First, a strict Lyapunov function is proposed for this dynamics and the conditions of strict passivity with a corresponding output are given. Second, the input-to-state stability property is investigated. The obtained theoretical results are illustrated by some simulations.


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Dates and versions

hal-02418533 , version 1 (18-12-2019)


  • HAL Id : hal-02418533 , version 1


Denis Efimov, Emilia Fridman, Jean-Pierre Richard. On robust stability of sine-Gordon equation. Proc. IEEE CDC, Dec 2019, Nice, France. ⟨hal-02418533⟩
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