Aspects of control theory on infinite-dimensional Lie groups and \(G\)-manifolds

DOI10.1016/J.JDE.2022.10.001OpenAlexW3043839835MaRDI QIDQ2101057

Helge Glöckner, Joachim Hilgert

Publication date: 28 November 2022

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

Full work available at URL: https://arxiv.org/abs/2007.11277

zbMATH Keywords

reachable set\(G\)-manifoldgeometric control theoryinfinite-dimensional Lie groupbang-bang principlefundamental vector field

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Control problems involving ordinary differential equations (34H05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Cites Work

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• Towards a Lie theory of locally convex groups
• Control theory on Lie groups
• Differential calculus in locally convex spaces
• Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups
• Control theory from the geometric viewpoint.
• Regularity of Lie groups
• Applications différentiables et variétés différentiables de dimension infinie
• Control systems on Lie groups
• Differential calculus over general base fields and rings.
• Weighted diffeomorphism groups of Banach spaces and weighted mapping groups
• Fundamentals of direct limit Lie theory
• The inverse function theorem of Nash and Moser
• Lie Groups of Measurable Mappings
• Spaces of Vector‐Valued Integrable Functions and Localization of Bounded Subsets
• The Strong Trotter Property for Locally $\mu$-convex Lie Groups

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