Resonance, stabilizing feedback controls, and regularity of viscosity solutions of Hamilton-Jacobi-Bellman equations

DOI10.1007/BF01211518zbMath0861.93025OpenAlexW2155013449MaRDI QIDQ1924416

Henry Hermes

Publication date: 13 May 1997

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01211518

zbMATH Keywords

nonlinearresonancehomogeneous approximationsmall time local controllabilityasymptotically stabilizing feedback control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (3)

\(H_\infty\) control, stabilization, and input-output stability of nonlinear systems with homogeneous properties ⋮ Lyapunov and feedback characterizations of state constrained controllability and stabilization ⋮ Brockett's stabilization condition under state constraints.

Cites Work

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• A necessary condition for feedback stabilization
• Stabilization of nonlinear systems in the plane
• Control systems which generate decomposable Lie algebras
• Homogeneous Lyapunov function for homogeneous continuous vector field
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Nilpotent and High-Order Approximations of Vector Field Systems
• A General Theorem on Local Controllability
• Asymptotically Stabilizing Feedback Controls and the Nonlinear Regulator Problem
• The Hamiltonian–Jacobi–Bellman Equation for Time-Optimal Control
• A Boundary Value Problem for the Minimum-Time Function
• Large-Time Local Controllability via Homogeneous Approximations

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