Stability of systems with time-varying delays: an \(\mathcal{L}_1\) small-gain perspective

DOI10.1016/j.automatica.2014.12.011zbMath1309.93118OpenAlexW2071181927MaRDI QIDQ2342781

Jie Chen, Jing Zhu

Publication date: 29 April 2015

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2014.12.011

zbMATH Keywords

delay systemtime-varying delaysmall-gain condition\(\mathcal{L}_1\) stability

Mathematics Subject Classification ID

(H^infty)-control (93B36) Linear systems in control theory (93C05) Robust stability (93D09)

Related Items (6)

A positivity-based approach to delay-dependent stability of systems with large time-varying delays ⋮ New results on stability analysis of singular time-delay systems ⋮ Stability andL_∞-gain analysis for a class of nonlinear positive systems with mixed delays ⋮ Stability andL₁× ℓ₁-to-L₁× ℓ₁performance analysis of uncertain impulsive linear positive systems with applications to the interval observation of impulsive and switched systems with constant delays ⋮ Stability and performance analysis of linear positive systems with delays using input–output methods ⋮ Optimal control of LQR for discrete time-varying systems with input delays

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