Report
Optimal control of quantum stochastic systems in fermion fields: The Pontryagin-type maximum principle (II)
| العنوان: | Optimal control of quantum stochastic systems in fermion fields: The Pontryagin-type maximum principle (II) |
|---|---|
| المؤلفون: | Wang, Penghui, Wang, Shan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Mathematics - Functional Analysis, 47C15, 81S25, 81Q93, 81V74 |
| الوصف: | In the present paper, by using the relaxed transposition method[29], we solve the second-order adjoint equations, corresponding to the optimal control of quantum stochastic systems in fermion fields, which plays the fundamental roles in the study of the Pointryagin-type maximum principle in quantum stochastic optimal control. The second-order adjoint equation is a backard operator valued quantum stochastic differential equation, which has no definition in the algebra of bounded operators, and the solution derived from the relaxed transposition method makes sense in W*-topology. Comment: 29 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2409.01684 |
| رقم الانضمام: | edsarx.2409.01684 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |