Communication Dans Un Congrès Année : 2007

High-order analysis of critical stability properties of linear time-delay systems

Résumé

In this paper we study stability properties of linear time-delay systems with commensurate delays. We investigate specifically the asymptotic behavior of the critical characteristic zeros of time-delay systems on the imaginary axis. This behavior determines whether the imaginary zeros cross from one half plane into another, and hence plays a critical role in determining the stability of a time-delay system. We emphasize in particular the second-order asymptotic properties, which, together with earlier results on first-order analysis, provide a more complete characterization of the zero asymptotic behavior.

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Dates et versions

hal-02194454 , version 1 (25-07-2019)

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  • HAL Id : hal-02194454 , version 1

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Peilin Fu, Jie Chen, Silviu-Iulian Niculescu. High-order analysis of critical stability properties of linear time-delay systems. 26th American Control Conference, Jul 2007, New York, NY, United States. ⟨hal-02194454⟩
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