Analytic curve frequency-sweeping stability tests for systems with commensurate delays

Xu-Guang Li (1) , Silviu-Iulian Niculescu (2, 3) , Arben Cela (4)

1 Northeastern University [Shenyang]
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
3 L2S - Laboratoire des signaux et systèmes
4 Département systèmes embarqués

In this brief the authors establish a new frequency-sweeping framework to solve the complete stability problem for time-delay systems with commensurate delays. The text describes an analytic curve perspective which allows a deeper understanding of spectral properties focusing on the asymptotic behavior of the characteristic roots located on the imaginary axis as well as on properties invariant with respect to the delay parameters. This asymptotic behavior is shown to be related by another novel

Domaines: Automatique; Automatique / Robotique

Xu-Guang Li, Silviu-Iulian Niculescu, Arben Cela. Analytic curve frequency-sweeping stability tests for systems with commensurate delays. Springer : Heidelberg, 2015, 978-3-319-15716-0. ⟨10.1007/978-3-319-15717-7⟩. ⟨hal-01284722⟩