%0 Journal Article
%J Proceedings of the Steklov Institute of Mathematics. Volume 268, Issue 1, 2010, Pages 17-31
%D 2010
%T Well-posed infinite horizon variational problems on a compact manifold
%A Andrei A. Agrachev
%X 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
%B Proceedings of the Steklov Institute of Mathematics. Volume 268, Issue 1, 2010, Pages 17-31
%I SISSA
%G en
%U http://hdl.handle.net/1963/6458
%1 6404
%2 Mathematics
%4 1
%# MAT/05 ANALISI MATEMATICA
%$ Submitted by Andrei Agrachev (agrachev@sissa.it) on 2013-02-05T14:50:56Z\\nNo. of bitstreams: 1\\ndiscount.pdf: 256111 bytes, checksum: 78c64c5edffbe71a9201c6023252b87d (MD5)
%R 10.1134/S0081543810010037