The turnpike property for high-dimensional interacting agent systems in discrete time

arXiv (Cornell University)

Abstract

We investigate the interior turnpike phenomenon for discrete-time multi-agent optimal control problems. While for continuous systems the turnpike property has been established, we focus here on first-order discretizations of such systems. It is shown that the resulting time-discrete system inherits the turnpike property with estimates of the same type as in the continuous case. In particular, we prove that the discrete time optimal control problem is strictly dissipative and the cheap control assumption holds.

Authors 4

1. Martin Gugat
2. Michaël Herty Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen

3. Jiehong Liu
4. Chiara Segala Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen