Finite-time stabilization of uncertain nonlinear planar systems

DOI10.1007/BF02169426zbMath0742.93068OpenAlexW1988643106MaRDI QIDQ1179527

E. P. Ryan

Publication date: 26 June 1992

Published in: Dynamics and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02169426

zbMATH Keywords

differential inclusionsstabilizerglobal asymptotic attractivity

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20)

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Cites Work

• Some remarks on a conjecture in parameter adaptive control
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The order of any stabilizing regulator is sufficient a priori information for adaptive stabilization
• High-gain robust adaptive controllers for multivariable systems
• Stability theory for ordinary differential equations
• A three-dimensional universal controller for the adaptive stabilization of any strictly proper minimum-phase system with relative degree not exceeding two
• Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems
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