التفاصيل البيبلوغرافية
| العنوان: |
Optimal Control Problems with Vector-Valued Impulse Controls and Time Delays |
| المؤلفون: |
Fusco, Giovanni, Motta, Monica, Vinter, Richard |
| سنة النشر: |
2024 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Optimization and Control, 49N25, 93C43, 49K21, 26A45, 49J21 |
| الوصف: |
We consider a nonlinear control system with vector-valued measures as controls and with dynamics depending on time delayed states. First, we introduce a notion of discontinuous, bounded variation solution associated with this system and establish an equivalent representation formula for it, inspired by the approach known in delay-free impulsive control as the `graph completions' method. Then, thanks to this equivalent formulation, we prove well-posedness properties of these solutions and also derive necessary optimality conditions in the form of a Maximum Principle for an associated minimization problem. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2408.17342 |
| رقم الانضمام: |
edsarx.2408.17342 |
| قاعدة البيانات: |
arXiv |