Infinite-horizon problems under periodicity constraint

2016/02/02 by Blot, Joel, Bouadi, Abdelkader, Nazaret, Bruno
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1602.00855

Abstract

We study soùe infinite-horizon optimization problems on spaces of periodic functions for non periodic Lagrangians. The main strategy relies on the reduction to finite horizon thanks in the introduction of an avering operator.We then provide existence results and necessary optimality conditions in which the corresponding averaged Lagrangian appears.

Related

• Periodic limit for non-autonomous Lagrangian systems and applications to a Kuramoto type model
• Planar Infinite-Horizon Optimal Control Problems with Weighted Average Cost and Constraints, Applied to Cheeger Sets
• On Periodic Solutions to Lagrangian System With Singularities
• Nonplanar Periodic Solutions for Spatial Restricted N+1-Body Problems
• On the solvability of the Yakubovich linear-quadratic infinite horizon\n minimization problem