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Input / Output Stability of a Damped String Equation coupled with Ordinary Differential System

Abstract : The input/output stability of an interconnected system composed of an ordinary differential equation and a damped string equation is studied. Issued from the literature on time-delay systems, an exact stability result is firstly derived using pole locations. Then, based on the Small-Gain theorem and on the Quadratic Separation framework, some robust stability criteria are provided. The latter follows from a projection of the infinite dimensional state on an orthogonal basis of Legendre polynomials. Numerical examples comparing these results with the ones in the literature are proposed and a comparison of its efficiency is made.
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https://hal.laas.fr/hal-01690626
Contributor : Matthieu BARREAU Connect in order to contact the contributor
Submitted on : Wednesday, September 19, 2018 - 1:56:42 PM
Last modification on : Monday, July 4, 2022 - 10:23:17 AM

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Matthieu Barreau, Frédéric Gouaisbaut, Alexandre Seuret, Rifat Sipahi. Input / Output Stability of a Damped String Equation coupled with Ordinary Differential System. International Journal of Robust and Nonlinear Control, Wiley, 2018, 28 (18), pp.6053-6069. ⟨10.1002/rnc.4357⟩. ⟨hal-01690626v2⟩

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