mlsanityData to 7 Oct 2026

Arithmetic-Geometric Mean Robustness for Control from Signal Temporal Logic Specifications

arXiv 1903.05186 ↗First posted 12 Mar 2019cs.ROcited by 19

Not on the map. Why?

Abstract (arXiv)

We present a new average-based robustness score for Signal Temporal Logic (STL) and a framework for optimal control of a dynamical system under STL constraints. By averaging the scores of different specifications or subformulae at different time points, our new definition highlights the frequency of satisfaction, as well as how robustly each specification is satisfied at each time point. We show that this definition provides a better score for how well a specification is satisfied. Its usefulness in monitoring and control synthesis problems is illustrated through case studies.

Key facts. Cited by 19 papers in the map (data through 7 Oct 2026). First posted on arXiv 12 Mar 2019.

Builds on

No reference list yet.

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 4; 2022: 6; 2023: 1; 2024: 3; 2025: 2; 2026: 3.

19 papers.

Sort:

By area:

  1. 2024A Survey of Optimization-based Task and Motion Planning: From Classical To Learning Approachescited by 19
  2. 2022Learning Signal Temporal Logic through Neural Network for Interpretable Classificationcited by 10
  3. 2021Safety of the Intended Driving Behavior Using Rulebookscited by 8
  4. 2022Testing Rare Downstream Safety Violations via Upstream Adaptive Sampling of Perception Error Modelscited by 7
  5. 2023Learning Robust and Correct Controllers from Signal Temporal Logic Specifications Using BarrierNetcited by 6
  6. 2025STLCG++: A Masking Approach for Differentiable Signal Temporal Logic Specificationcited by 6
  7. 2021STL Robustness Risk over Discrete-Time Stochastic Processescited by 4
  8. 2022Interpretable Fault Diagnosis of Rolling Element Bearings with Temporal Logic Neural Networkcited by 4
  9. 2022STL-Based Synthesis of Feedback Controllers Using Reinforcement Learningcited by 4
  10. 2022Model Predictive Robustness of Signal Temporal Logic Predicatescited by 3
  11. 2021Neural Network-based Control for Multi-Agent Systems from Spatio-Temporal Specificationscited by 2
  12. 2021Reinforcement Learning with Formal Performance Metrics for Quadcopter Attitude Control under Non-nominal Contextscited by 2
7 more
  1. 2022Neural Controller Synthesis for Signal Temporal Logic Specifications Using Encoder-Decoder Structured Networkscited by 1
  2. 2024Tolerance of Reinforcement Learning Controllers against Deviations in Cyber Physical Systemscited by 1
  3. 2026Spatiotemporal Robustness of Temporal Logic Tasks using Multi-Objective Reasoningcited by 1
  4. 2024Autonomous Vehicles Path Planning under Temporal Logic Specificationscited by 0
  5. 2025Feasibility-aware Learning of Robust Temporal Logic Controllers using BarrierNetcited by 0
  6. 2026GraSP-STL: A Graph-Based Framework for Zero-Shot Signal Temporal Logic Planning via Offline Goal-Conditioned Reinforcement Learningcited by 0
  7. 2026Reward Machines for Signal Temporal Logiccited by 0