English

Solving A Class of Mean-Field LQG Problems

Probability 2020-08-28 v2 Optimization and Control

Abstract

In this work, we study a class of mean-field linear quadratic Gaussian (LQG) problems. Under suitable conditions, explicit solutions of the distribution-dependent optimal control problems are obtained. Riccati systems are derived by directly solving the associated master equations. Some extensions on controls with partial observations are also considered.

Keywords

Cite

@article{arxiv.1910.05236,
  title  = {Solving A Class of Mean-Field LQG Problems},
  author = {Yun Li and Qingshuo Song and Fuke Wu and George Yin},
  journal= {arXiv preprint arXiv:1910.05236},
  year   = {2020}
}

Comments

13 pages

R2 v1 2026-06-23T11:41:08.875Z