Sakawa-Shindo algorithm for optimal control of time-delay systems, with applications to epidemiology
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910173081108480 |
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| author | Katz, Rami Campana, Francesca Calà Giordano, Giulia |
| author_facet | Katz, Rami Campana, Francesca Calà Giordano, Giulia |
| contents | We extend the Sakawa-Shindo algorithm to solve optimal control problems where the system dynamics involve an arbitrary number of discrete state delays. We prove that the algorithm guarantees termination in a finite number of steps, asymptotic first-order optimality of the generated control sequence and convergence of a subsequence to a control satisfying first-order optimality, and we apply it to the optimal design of non-pharmaceutical interventions and vaccination plans for epidemic models with delays associated with incubation period and vaccination. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25279 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sakawa-Shindo algorithm for optimal control of time-delay systems, with applications to epidemiology Katz, Rami Campana, Francesca Calà Giordano, Giulia Optimization and Control We extend the Sakawa-Shindo algorithm to solve optimal control problems where the system dynamics involve an arbitrary number of discrete state delays. We prove that the algorithm guarantees termination in a finite number of steps, asymptotic first-order optimality of the generated control sequence and convergence of a subsequence to a control satisfying first-order optimality, and we apply it to the optimal design of non-pharmaceutical interventions and vaccination plans for epidemic models with delays associated with incubation period and vaccination. |
| title | Sakawa-Shindo algorithm for optimal control of time-delay systems, with applications to epidemiology |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2604.25279 |