4 citations · 8 across the 3 of their papers we have counts for
3 papers
math.OC2005★ 1 cited
Geometry of optimal control problems and Hamiltonian systems
Andrei Agrachev
These notes are based on the mini-course given in June 2004 in Cetraro, Italy, in the frame of a C.I.M.E. school. Of course, they contain much more material that I could present in…
math.OC2005★ 4 cited
On feedback classification of control-affine systems with one and two-dimensional inputs
Andrei Agrachev, Igor Zelenko
The paper is devoted to the local classification of generic control-affine systems on an n-dimensional manifold with scalar input for any n>3 or with two inputs for n=4 and n=5, up…
math.DS2004★ 3 cited
Hamiltonian systems of negative curvature are hyperbolic
Andrei A. Agrachev, Natalia N. Chtcherbakova
The {\it curvature} and the {\it reduced curvature} are basic differential invariants of the pair: (Hamiltonian system, Lagrange distribution) on the symplectic manifold. We show t…