# Online Control on LQR/LQG theoretical settings

Source: [Online Control on LQR/LQG theoretical settings](<https://www.sota2.com/research/sota/online-control-on-lqr-lqg-theoretical-settings>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-02-26T06:01:49.322Z

Evaluation of online control algorithms applied to Linear Quadratic Regulator (LQR) and Linear Quadratic Gaussian (LQG) theoretical settings, typically measured by Regret.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Online Control |
| Dataset (including any stated split) | LQR/LQG theoretical settings |
| Metric | Regret |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 3 of 3 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Regret](<https://www.sota2.com/research/sota/online-control-on-lqr-lqg-theoretical-settings.md?metric=Regret>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Regret | Result date | Report paper |
| --- | --- | --- | --- |
| Agarwal et al. \[2019b\] | 1 | Not recorded | 68fa70f11e209131cea4e38b |
| Foster and Simchowitz \[2020\] | 1 | Not recorded | 68fa70f11e209131cea4e38b |
| Simchowitz et al. \[2020\] | 1 | Not recorded | 68fa70f11e209131cea4e38b |

### Agarwal et al. \[2019b\]

Regret: 1. Result ID: 699166c83a6c31484907e655.

[Reporting paper](<https://www.sota2.com/research/paper/68fa70f11e209131cea4e38b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa563c1e209131ce99aeab.md>)

Recorded evaluation configuration: {"Noise":"Stochastic","Observation":"full","Feedback":"full","System":"known"}. This record does not assert independent reproduction.

### Foster and Simchowitz \[2020\]

Regret: 1. Result ID: 699166c83a6c31484907e656.

[Reporting paper](<https://www.sota2.com/research/paper/68fa70f11e209131cea4e38b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa57161e209131ce9a24ba.md>)

Recorded evaluation configuration: {"Noise":"Adversarial","Observation":"full","Feedback":"full","System":"known"}. This record does not assert independent reproduction.

### Simchowitz et al. \[2020\]

Regret: 1. Result ID: 699166c83a6c31484907e657.

[Reporting paper](<https://www.sota2.com/research/paper/68fa70f11e209131cea4e38b.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa57171e209131ce9a25eb.md>)

Recorded evaluation configuration: {"Noise":"Semi-Adv.","Observation":"partial","Feedback":"full","System":"known"}. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.