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arXiv · 2506.09970

Pattern-preserving optimal control problems with increasing time horizon

Matteo Della Rossa·Lorenzo Freddi
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Abstract

We establish a general framework that guarantees the preservation of optimal control patterns as the time horizon $[0,T]$ increases and becomes unbounded. A concept of pattern-preserving family of optimal control problems is introduced and the goal is achieved by analyzing the $\Gamma$-convergence of the corresponding variational formulations as $T\to\infty$. Special attention is given to scenarios involving state constraints. To illustrate the results, examples and applications are provided, with particular focus on switched systems and epidemic control.

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Matteo Della Rossa, Lorenzo Freddi. 2025-06-11. Pattern-preserving optimal control problems with increasing time horizon. https://doi.org/10.1051/cocv%2F2025088

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