Stabilization of invariant sets for nonlinear systems with applications to control of oscillations

DOI10.1002/rnc.568zbMath0979.93087OpenAlexW2109125498MaRDI QIDQ2716788

Fradkov, Alexander L., Shiriaev, Anton S.

Publication date: 23 September 2001

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.568

zbMATH Keywords

Lyapunov functionnonlinear systemspartial stabilitypendulum systemsstability of setscontrol of oscillationsChetaev's methodstabilization of invariant setsV-detectability

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) 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) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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Cites Work

• The notion of \(V\)-detectability and stabilization of invariant sets of nonlinear systems
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