Pattern-preserving optimal control problems with increasing time horizon
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917284676632576 |
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| author | Della Rossa, Matteo Freddi, Lorenzo |
| author_facet | Della Rossa, Matteo Freddi, Lorenzo |
| contents | 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 $Γ$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pattern-preserving optimal control problems with increasing time horizon Della Rossa, Matteo Freddi, Lorenzo Optimization and Control 49J15, 49J45, 93C15 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 $Γ$-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. |
| title | Pattern-preserving optimal control problems with increasing time horizon |
| topic | Optimization and Control 49J15, 49J45, 93C15 |
| url | https://arxiv.org/abs/2506.09970 |