Special Session 35: 

Turnpike phenomenon in the calculus of variations and optimal control

Alexander Zaslavski
The Technion - Israel Institute of Technology
Israel
Co-Author(s):    
Abstract:
We study the structure of approximate solutions of variational and optimal control problems on large intervals, and show that a turnpike phenomenon holds for large classes of problems. To have this property means, roughly speaking, that the approximate optimal trajectories are determined mainly by the integrand, and are essentially independent of the choice of time intervals and data, except in regions close to the endpoints of the time interval.