On the Existence of a Limit Value in Some Nonexpansive Optimal Control Problems
Marc Quincampoix, Jérôme Renault · SIAM Journal on Control and Optimization · 2011
We investigate the limit of the average value of an optimal control problem when the horizon converges to infinity. For this aim, we suppose suitable nonexpansive-like assumptions which does not imply that the limit is independent of the initial state, as is usually done in the literature.