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Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis

Abstract : This paper proposes a framework to assess the stability of an ordinary differential equation which is coupled to a 1D-partial differential equation (PDE). The stability theorem is based on a new result on Integral Quadratic Constraints (IQCs) and expressed in terms of two linear matrix inequalities with a moderate computational burden. The IQCs are not generated using dissipation inequalities involving the whole state of an infinite-dimensional system, but by using projection coefficients of the infinite-dimensional state. This permits to generalize our robustness result to many other PDEs. The proposed methodology is applied to a time-delay system and numerical results comparable to those in the literature are obtained.
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https://hal.laas.fr/hal-02504830
Contributor : Matthieu Barreau <>
Submitted on : Monday, May 4, 2020 - 11:13:38 AM
Last modification on : Thursday, May 28, 2020 - 3:27:42 AM

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  • HAL Id : hal-02504830, version 2
  • ARXIV : 2003.06283

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Matthieu Barreau, Carsten Scherer, Frédéric Gouaisbaut, Alexandre Seuret. Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis. IFAC World Congress, Jul 2020, Berlin, Germany. ⟨hal-02504830v2⟩

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