Global stabilization for systems evolving on manifolds

DOI10.1007/S10450-006-0379-XzbMath1111.93068arXivmath/0410277OpenAlexW2144432156MaRDI QIDQ867452

M. Krichman, Michael Malisoff

Publication date: 15 February 2007

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410277

zbMATH Keywords

asymptotic controllabilityinput-to-state stabilizationcontrol systems on manifolds

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Dark energy from topology ⋮ Modelling and control of a spherical pendulum via a non–minimal state representation ⋮ Asymptotic stabilization with locally semiconcave control Lyapunov functions on general manifolds ⋮ Output-feedback control for stabilization on \(\mathrm{SE}(3)\) ⋮ Morse theory and Lyapunov stability on manifolds ⋮ Almost global stabilization of fully-actuated rigid bodies ⋮ Vision-based control for rigid body stabilization ⋮ A nonlinear position and attitude observer on SE(3) using landmark measurements ⋮ Gap functions and globally projected differential inclusions on Riemannian manifolds

Cites Work

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• Global asymptotic stabilization for controllable systems without drift
• Subanalytic sets and feedback control
• Existence of Lipschitz and Semiconcave Control-Lyapunov Functions
• A Lyapunov-Like Characterization of Asymptotic Controllability
• Patchy Vector Fields and Asymptotic Stabilization
• Clocks and Insensitivity to Small Measurement Errors
• Asymptotic controllability implies feedback stabilization
• Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization
• Continuous control-Lyapunov functions for asymptotically controllable time-varying systems
• Weak Converse Lyapunov Theorems and Control-Lyapunov Functions
• Global Asymptotic Controllability Implies Input-to-State Stabilization
• Smooth stabilization implies coprime factorization
• Semiconcave Control-Lyapunov Functions and Stabilizing Feedbacks
• An Almost Global Notion of Input-to-State Stability

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