التفاصيل البيبلوغرافية
| العنوان: |
An Analytic and Numerical Investigation of a Differential Game |
| المؤلفون: |
Aviv Gibali, Oleg Kelis |
| المصدر: |
Axioms; Volume 10; Issue 2; Pages: 66 |
| بيانات النشر: |
Multidisciplinary Digital Publishing Institute |
| سنة النشر: |
2021 |
| المجموعة: |
MDPI Open Access Publishing |
| مصطلحات موضوعية: |
differential game, dual representation, cost functional, double projection methods, saddle points |
| الوصف: |
In this paper we present an appropriate singular, zero-sum, linear-quadratic differential game. One of the main features of this game is that the weight matrix of the minimizer’s control cost in the cost functional is singular. Due to this singularity, the game cannot be solved either by applying the Isaacs MinMax principle, or the Bellman–Isaacs equation approach. As an application, we introduced an interception differential game with an appropriate regularized cost functional and developed an appropriate dual representation. By developing the variational derivatives of this regularized cost functional, we apply Popov’s approximation method and show how the numerical results coincide with the dual representation. |
| نوع الوثيقة: |
text |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| Relation: |
Mathematical Analysis; https://dx.doi.org/10.3390/axioms10020066 |
| DOI: |
10.3390/axioms10020066 |
| الاتاحة: |
https://doi.org/10.3390/axioms10020066 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ |
| رقم الانضمام: |
edsbas.19A83860 |
| قاعدة البيانات: |
BASE |