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Certified Non-conservative Tests for the Structural Stability of Multidimensional Systems

Abstract : In this paper, we present new computer algebra based methods for testing the structural stability of n-D discrete linear systems (with n >= 2). More precisely, we 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 \C^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.
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https://hal.inria.fr/hal-01571230
Contributor : Yacine Bouzidi <>
Submitted on : Tuesday, August 1, 2017 - 6:02:11 PM
Last modification on : Friday, December 11, 2020 - 6:44:06 PM

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  • HAL Id : hal-01571230, version 1

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Yacine Bouzidi, Alban Quadrat, Fabrice Rouillier. Certified Non-conservative Tests for the Structural Stability of Multidimensional Systems. [Research Report] RR-9085, INRIA Lille - Nord Europe; INRIA Paris. 2017, pp.31. ⟨hal-01571230⟩

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