Further Remarks on Stability Crossing Curves of Distributed Delay Systems - Archive ouverte HAL
Chapitre D'ouvrage Année : 2007

Further Remarks on Stability Crossing Curves of Distributed Delay Systems

Résumé

This paper focuses on the problem of robust stability with delay deviation for a linear system including a gamma‐distributed delay with a gap. First, we present the stability analysis of such dynamical systems in the space defined by the (mean‐delay, gap)‐parameters. Next, we present an analytical method to compute the maximum radius of delay deviation without changing the number of unstable roots of the corresponding characteristic equation. The stability crossing curves, derived in some of our previous works, will play a major role in deriving such robustness measure. Illustrative examples complete the presentation.
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Dates et versions

hal-02272310 , version 1 (27-08-2019)

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Irinel-Constantin Morarescu, Silviu-Iulian Niculescu. Further Remarks on Stability Crossing Curves of Distributed Delay Systems. Françoise Lamnabhi‐Lagarrigue, Salah Laghrouche, Antonio Loria, Elena Panteley. Taming Heterogeneity and Complexity of Embedded Control, John Wiley & Sons, Inc., pp.481-503, 2007, ⟨10.1002/9780470612217.ch28⟩. ⟨hal-02272310⟩
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