Back to Search
Start Over
Indefinite Mean-Field Type Linear-Quadratic Stochastic Optimal Control Problems
- Source :
- Automatica 122 (2020) 109267
- Publication Year :
- 2020
-
Abstract
- This paper focuses on indefinite stochastic mean-field linear-quadratic (MF-LQ, for short) optimal control problems, which allow the weighting matrices for state and control in the cost functional to be indefinite. The solvability of stochastic Hamiltonian system and Riccati equations is presented under both positive definite case and indefinite case. The optimal controls in open-loop form and closed-loop form are obtained, respectively. Moreover, the dynamic mean-variance problem can be solved within the framework of the indefinite MF-LQ problem. Other two examples shed light on the theoretical results established.<br />Comment: 30 pages, 5 figures
- Subjects :
- Mathematics - Optimization and Control
Subjects
Details
- Database :
- arXiv
- Journal :
- Automatica 122 (2020) 109267
- Publication Type :
- Report
- Accession number :
- edsarx.2003.08090
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.automatica.2020.109267