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  • The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.

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GAIA - 2018



Section: New Results

Certified non-conservative tests for the structural stability of discrete multidimensional systems

In collaboration with Fabrice Rouillier (Inria Paris, Ouragan), in [18], we propose a new approach for testing the stability of nD systems. We first show that the standard characterization of the structural stability of a multivariate rational transfer function (namely, the denominator of the transfer function does not have solutions in the unit polydisc of n ) is equivalent to the fact that a certain system of polynomials does not have real solutions. We then use state-of-the-art computer algebra algorithms to check this last condition, and thus the structural stability of multidimensional systems. Our results have been implemented in a Maple prototype.