Communication Dans Un Congrès Année : 2024

On the Sensitivity of Characteristic Roots of a Class of Parameterized Delay-Differential Neutral Systems

Résumé

This paper focuses on the characterization of the asymptotic behavior of the critical characteristic roots for a class of delay-differential dynamical systems of neutral type whose coefficients smoothly depend on certain parameters. Such systems can be described by coupled delay-differential and delay-difference equations, and model time heterogeneity in propagation and transport phenomena. The asymptotic behavior of the characteristic roots is addressed by expressing the solutions as a convergent Puiseux series, which facilitates handling multiple solutions. Particular attention is paid to the way the parameters affect the stability of the delay-difference operator. Illustrative examples complete the presentation and show the effectiveness of the proposed method.

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Dates et versions

hal-04633786 , version 1 (03-07-2024)

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César Fernando Méndez Barrios, Silviu-Iulian Niculescu, Alejandro Martínez-González. On the Sensitivity of Characteristic Roots of a Class of Parameterized Delay-Differential Neutral Systems. CoDIT 2024 - 10th International Conference on Control, Decision and Information Technologies, Jul 2024, La Valette, Malta. ⟨10.1109/codit62066.2024.10708501⟩. ⟨hal-04633786⟩
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