التفاصيل البيبلوغرافية
| العنوان: |
Bifurcations of optimal vector fields |
| المؤلفون: |
T. Kiseleva, F. Wagener |
| بيانات النشر: |
University of Amsterdam, Amsterdam |
| سنة النشر: |
2011 |
| المجموعة: |
Universiteit van Amsterdam: Digital Academic Repository (UvA DARE) |
| الوصف: |
We study the structure of the solution set of a class of infinite-horizon dynamic programming problems with one-dimensional state spaces, as well as their bifurcations as problem parameters are varied. The solutions are represented as the integral curves of a multi-valued `optimal' vector field on state space. Generically, there are three types of integral curves: stable points, open intervals that are forward asymptotic to a stable point and backward asymptotic to an unstable point, and half-open intervals that are forward asymptotic to a stable point and backward asymptotic to an indifference point; the latter are initial states to multiple optimal trajectories. We characterize all bifurcations that occur generically in one- and two-parameter families. Most of these are related to global dynamical bifurcations of the state-costate system of the problem. |
| نوع الوثيقة: |
report |
| اللغة: |
English |
| Relation: |
http://hdl.handle.net/11245/1.347214 |
| الاتاحة: |
http://hdl.handle.net/11245/1.347214 |
| Rights: |
It is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content licence (like Creative Commons). |
| رقم الانضمام: |
edsbas.E4D53985 |
| قاعدة البيانات: |
BASE |