English

Separation is Optimal for LQR under Intermittent Feedback

Optimization and Control 2026-05-05 v3 Information Theory Multiagent Systems Robotics Systems and Control Systems and Control math.IT

Abstract

In this work, we first prove that the separation principle holds for communication-constrained LQR problems under i.i.d. zero-mean disturbances with a symmetric distribution. We then solve the dynamic programming problem and show that the optimal scheduling policy is a symmetric threshold rule on the accumulated disturbance since the most recent update, while the optimal controller is a discounted linear feedback law independent of the scheduling policy.

Keywords

Cite

@article{arxiv.2603.27833,
  title  = {Separation is Optimal for LQR under Intermittent Feedback},
  author = {Abdullah Y. Etcibasi and C. Emre Koksal and Eylem Ekici},
  journal= {arXiv preprint arXiv:2603.27833},
  year   = {2026}
}
R2 v1 2026-07-01T11:43:06.548Z