A new approach to state bounding for linear time-varying systems with delay and bounded disturbances

DOI10.1016/j.automatica.2014.04.025zbMath1296.93046OpenAlexW1990630015MaRDI QIDQ458891

Publication date: 8 October 2014

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2014.04.025

zbMATH Keywords

time-varying systems reachable set bounded disturbances Metzler matrix state bounding

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Linear systems in control theory (93C05) Stability of control systems (93D99)

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Cites Work