Academic Journal
Impulsive optimal control problems with time delays in the drift term
| العنوان: | Impulsive optimal control problems with time delays in the drift term |
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| المؤلفون: | Fusco, Giovanni, Motta, Monica |
| المساهمون: | Fusco, Giovanni, Motta, Monica |
| بيانات النشر: | American Institute of Mathematical Sciences |
| سنة النشر: | 2024 |
| المجموعة: | Padua Research Archive (IRIS - Università degli Studi di Padova) |
| مصطلحات موضوعية: | Optimal control, impulse control, maximum principle, time delay systems, nonsmooth analysis |
| الوصف: | We introduce a notion of bounded variation solution for a new class of nonlinear control systems with ordinary and impulsive controls, in which the drift function depends not only on the state, but also on its past history, through a finite number of time delays. After proving the well-posedness of such solutions and the continuity of the corresponding input-output map with respect to suitable topologies, we establish necessary optimality conditions for an associated optimal control problem. The approach, which involves approximating the problem by a non-impulsive optimal control problem with time delays and using Ekeland’s principle combined with a recent, nonsmooth version of the Maximum Principle for conventional delayed systems, allows us to deal with mild regularity assumptions and a general endpoint constraint. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:001196010300001; volume:14; issue:4; firstpage:1306; lastpage:1333; numberofpages:28; journal:MATHEMATICAL CONTROL AND RELATED FIELDS; https://hdl.handle.net/11577/3511846; https://arxiv.org/abs/2307.12806 |
| DOI: | 10.3934/mcrf.2024012 |
| الاتاحة: | https://hdl.handle.net/11577/3511846 https://doi.org/10.3934/mcrf.2024012 https://arxiv.org/abs/2307.12806 https://www.aimsciences.org//article/doi/10.3934/mcrf.2024012 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.551E5750 |
| قاعدة البيانات: | BASE |
| DOI: | 10.3934/mcrf.2024012 |
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