TY - JOUR
T1 - Well-posed infinite horizon variational problems on a compact manifold
JF - Proceedings of the Steklov Institute of Mathematics. Volume 268, Issue 1, 2010, Pages 17-31
Y1 - 2010
A1 - Andrei A. Agrachev
AB - We give an effective sufficient condition for a variational problem with infinite horizon on a compact Riemannian manifold M to admit a smooth optimal synthesis, i. e., a smooth dynamical system on M whose positive semi-trajectories are solutions to the problem. To realize the synthesis, we construct an invariant Lagrangian submanifold (well-projected to M) of the flow of extremals in the cotangent bundle T*M. The construction uses the curvature of the flow in the cotangent bundle and some ideas of hyperbolic dynamics
PB - SISSA
UR - http://hdl.handle.net/1963/6458
U1 - 6404
U2 - Mathematics
U4 - 1
U5 - MAT/05 ANALISI MATEMATICA
ER -