Quadratic Hamilton-Poisson systems on \(\mathfrak{se}(1,1)^{*}_{-}\): the inhomogeneous case
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Publication:1744073
DOI10.1007/s10440-017-0140-3zbMath1411.53069OpenAlexW2770655004MaRDI QIDQ1744073
Rory Biggs, Dennis I. Barrett, Claudiu C. Remsing
Publication date: 16 April 2018
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-017-0140-3
Poisson manifolds; Poisson groupoids and algebroids (53D17) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
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Invariant Control Systems on Lie Groups, Quadratic Hamilton-Poisson systems in three dimensions: equivalence, stability, and integration, On a deformed version of the two-disk dynamo system.
Cites Work
- Quadratic Hamilton-Poisson systems in three dimensions: equivalence, stability, and integration
- An optimal control problem on the Lie group \(SE(2,\mathbb{R})\times SO(2)\)
- Integrable quadratic hamiltonians on the Euclidean group of motions
- Elliptic functions and applications
- Control theory from the geometric viewpoint.
- Cost-extended control systems on Lie groups
- Asymptotic and Lyapunov stability of constrained and Poisson equilibria
- NEW ASPECTS ON THE GEOMETRY AND DYNAMICS OF QUADRATIC HAMILTONIAN SYSTEMS ON (đ°đŹ(3))*
- Poisson Structures
- AN OPTIMAL CONTROL PROBLEM ON THE LIE GROUP SO(4)
- QUADRATIC AND HOMOGENEOUS HAMILTONâPOISSON SYSTEM ON (so(3))
- A Classification of Quadratic Hamilton-Poisson Systems in Three Dimensions
- Quadratic HamiltonâPoisson systems on $\mathfrak{s}\mathfrak{e}(1, 1)^{*}_{-}$: The homogeneous case
- Two-input control systems on the Euclidean group SE (2)
- The free rigid body dynamics: Generalized versus classic
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