Two-input control systems on the Euclidean group SE (2)

DOI10.1051/cocv/2012040zbMath1283.49003OpenAlexW2115983137MaRDI QIDQ5397541

Rory Biggs, Claudiu C. Remsing, Ross M. Adams

Publication date: 24 February 2014

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2012040

zbMATH Keywords

Jacobi elliptic functionLie-Poisson structureenergy-Casimir methoddetached feedback equivalenceleft-invariant control system

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie algebras of Lie groups (22E60)

Related Items (4)

Invariant Control Systems on Lie Groups ⋮ Quadratic Hamilton-Poisson systems on \(\mathfrak{se}(1,1)^{*}_{-}\): the inhomogeneous case ⋮ Quadratic Hamilton-Poisson systems in three dimensions: equivalence, stability, and integration ⋮ Quadratic Hamilton–Poisson systems on $\mathfrak{s}\mathfrak{e}(1, 1)^{*}_{-}$: The homogeneous case

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