Stability analysis of time‐delay systems via Bessel inequality: A quadratic separation approach

DOI10.1002/rnc.3975zbMath1390.93653OpenAlexW2766830115MaRDI QIDQ4643924

Dimitry Peaucelle, Frédéric Gouaisbaut, Yassine Ariba, Alexandre Seuret

Publication date: 30 May 2018

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.3975

zbMATH Keywords

Bessel inequalitydelay systemsLMIsrobust stability analysis

Mathematics Subject Classification ID

Feedback control (93B52) Asymptotic stability in control theory (93D20) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

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Dissipative delay range analysis of coupled differential-difference delay systems with distributed delays ⋮ Frequency delay‐dependent stability criterion for time‐delay systems thanks to Fourier–Legendre remainders ⋮ Order‐dependent LMI‐based stability and stabilization conditions for fractional‐order time‐delay systems using small gain theorem ⋮ Strong delay-independent stability of linear delay systems ⋮ Novel inequality-based functions for the stability of time-varying delay systems ⋮ Delay range stability of a class of distributed time delay systems ⋮ Parabolic set simulation for reachability analysis of linear time-invariant systems with integral quadratic constraint

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