On Lyapunov stability and normal forms of nonlinear systems with a nonsemisimple critical mode. I. Zero eigenvalue

DOI10.1109/81.852937zbMath0972.93052OpenAlexW2081685038MaRDI QIDQ2723613

Jyun-Horng Fu

Publication date: 8 July 2001

Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/81.852937

zbMATH Keywords

nonlinear systemsstability criteriaLyapunov functionscritical casesPoincaré normal formsLa Salle invariant principle

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

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