scientific article

zbMath1296.37046MaRDI QIDQ3190969

Alexei G. Kushner, Valentin V. Lychagin

Publication date: 19 September 2014

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Poisson structuresLie pseudogroupsdifferential invariantscontrol Hamiltonian systemsPetrov invariantsymplectic feedback transformation

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Nonlinear systems in control theory (93C10) Hamilton's equations (70H05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Canonical transformations in symplectic and contact geometry (53D22) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (4)

Petrov invariants of Hamiltonian systems with a control parameter ⋮ On symplectization of 1-jet space and differential invariants of point pseudogroup ⋮ Differential invariants and problems of contact and point equivalence of functions on \(n\)-jet spaces \(J^n\mathbb R\) ⋮ Classification of control ensembles of projective points

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