Asymptotically stabilizing feedback controls

DOI10.1016/0022-0396(91)90064-GzbMath0736.93069MaRDI QIDQ1176518

Henry Hermes

Publication date: 25 June 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotically stabilizing feedback controlhomogeneous Hamilton-Jacobi-Bellman equationLie algebra filtrations

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control problems involving ordinary differential equations (34H05)

Related Items (18)

Global stabilization of planar homogeneous polynomial systems ⋮ Decomposition of homogeneous vector fields of degree one and representation of the flow ⋮ Geometrical and topological methods in optimal control theory ⋮ Normal forms for vector fields with respect to an arbitrary dilation ⋮ An averaging theorem for time-periodic degree zero homogeneous differential equations ⋮ Construction of control Lyapunov functions for damping stabilization of control affine systems ⋮ Global stabilization of discrete-time homogeneous systems. ⋮ Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension ⋮ Homogeneous feedback controls for homogeneous systems ⋮ Asymptotic stabilization of planar systems ⋮ Stabilizing feedback controls via the nonlinear regulator ⋮ \(H_\infty\) control, stabilization, and input-output stability of nonlinear systems with homogeneous properties ⋮ Smooth homogeneous asymptotically stabilizing feedback controls ⋮ Disturbance observer-based composite voltage synchronisation control of three-phase four-leg inverter under load variation ⋮ Linear stabilization of nonlinear cascade systems ⋮ Homogeneous Control of Pneumatic Cylinders Based on Time Delay Model and Artstein Transformation ⋮ Generalized homogeneous systems with applications to nonlinear control: a survey ⋮ Stabilization of nonlinear systems: A bilinear approach

Cites Work

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• Contributions to stability theory
• A necessary condition for feedback stabilization
• Global stabilizability of homogeneous vector fields of odd degree
• Stabilization of nonlinear systems in the plane
• Hypoelliptic differential operators and nilpotent groups
• Graded Approximations and Controllability Along a Trajectory
• A General Theorem on Local Controllability
• Asymptotically Stabilizing Feedback Controls and the Nonlinear Regulator Problem

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