Fundamental connections among the stability conditions using higher-order time-derivatives of Lyapunov functions for the case of linear time-invariant systems

DOI10.1016/j.sysconle.2011.06.003zbMath1226.93104OpenAlexW2164651766MaRDI QIDQ645589

Jin Bae Park, Young Hoon Joo, Dong Hwan Lee

Publication date: 10 November 2011

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.06.003

zbMATH Keywords

robust stabilitypolytopic uncertaintyLyapunov theorylinear matrix inequality (LMI)linear time-invariant (LTI) systems

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Robust stability (93D09)

Related Items (2)

Stability of uncertain systems using Lyapunov functions with non-monotonic terms ⋮ Robust performance for uncertain systems via Lyapunov functions with higher order terms

Uses Software

• LMI toolbox

Cites Work

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