Global convergence of nonlinear cascade flows with Morse-Bott zero dynamics

DOI10.1016/j.sysconle.2009.01.004zbMath1161.93019OpenAlexW2017194466MaRDI QIDQ1021443

Uwe R. Helmke

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2009.01.004

zbMATH Keywords

nonlinear systemsinvariance principleglobal asymptotic stabilitycascade systemsMorse decompositionsdouble bracket flows

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Hierarchical systems (93A13) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

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Recurrence and LaSalle invariance principle, Robust and nonlinear control literature survey (No. 14), A differential equation for diagonalizing complex semisimple Lie algebra elements, Locating omega-limit sets using height functions

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