Linear approximations to nonlinear dynamical systems with applications to stability and spectral theory

DOI10.1093/imamci/20.1.89zbMath1017.93029OpenAlexW1965705423MaRDI QIDQ4807251

Maria Tomás-Rodríguez, Stephan Paul Banks

Publication date: 18 August 2003

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/20.1.89

zbMATH Keywords

stabilityLyapunov functionnonlinear systemsspectral theorylinear approximationstime-varying approximationsglobal proof

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Perturbations in control/observation systems (93C73) Frequency-response methods in control theory (93C80) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Eigenvalue problems (93B60) Nonlinear ordinary differential equations and systems (34A34) Linearizations (93B18) Asymptotic stability in control theory (93D20) System structure simplification (93B11) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15)

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