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Conference papers
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.
Cited literature [22 references]
https://hal.laas.fr/hal-02504830
Contributor : Matthieu Barreau <>
Submitted on : Wednesday, May 27, 2020 - 9:38:50 AM
Last modification on : Friday, June 19, 2020 - 3:27:31 AM
Contributor : Matthieu Barreau <>
Submitted on : Wednesday, May 27, 2020 - 9:38:50 AM
Last modification on : Friday, June 19, 2020 - 3:27:31 AM
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