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On robust stability of sine-Gordon equation

Denis Efimov 1 Emilia Fridman 2 Jean-Pierre Richard 3
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : 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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Contributor : Denis Efimov <>
Submitted on : Wednesday, December 18, 2019 - 10:00:40 PM
Last modification on : Friday, December 11, 2020 - 6:44:08 PM
Long-term archiving on: : Thursday, March 19, 2020 - 10:37:50 PM


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  • 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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