662 RWTH Publication No: 989625        2024       
TITLE Exponential turnpike property for particle systems and mean-field limit
AUTHORS Michael Herty, Yizhou Zhou
ABSTRACT This work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissipativity of the cost function, exponential estimates for both optimal states and optimal control are proven. Moreover, we show that all the results for particle systems can be preserved under the limit in the case of infinitely many particles.
KEYWORDS Exponential turnpike property, mean-field limit, optimal control