Arithmetic-Geometric Mean Robustness for Control from Signal Temporal Logic Specifications
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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.
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Citing papers per year: 2021: 4; 2022: 6; 2023: 1; 2024: 3; 2025: 2; 2026: 3.
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- 2024A Survey of Optimization-based Task and Motion Planning: From Classical To Learning Approachescited by 19
- 2022Learning Signal Temporal Logic through Neural Network for Interpretable Classificationcited by 10
- 2021Safety of the Intended Driving Behavior Using Rulebookscited by 8
- 2022Testing Rare Downstream Safety Violations via Upstream Adaptive Sampling of Perception Error Modelscited by 7
- 2023Learning Robust and Correct Controllers from Signal Temporal Logic Specifications Using BarrierNetcited by 6
- 2025STLCG++: A Masking Approach for Differentiable Signal Temporal Logic Specificationcited by 6
- 2021STL Robustness Risk over Discrete-Time Stochastic Processescited by 4
- 2022Interpretable Fault Diagnosis of Rolling Element Bearings with Temporal Logic Neural Networkcited by 4
- 2022STL-Based Synthesis of Feedback Controllers Using Reinforcement Learningcited by 4
- 2022Model Predictive Robustness of Signal Temporal Logic Predicatescited by 3
- 2021Neural Network-based Control for Multi-Agent Systems from Spatio-Temporal Specificationscited by 2
- 2021Reinforcement Learning with Formal Performance Metrics for Quadcopter Attitude Control under Non-nominal Contextscited by 2
7 more
- 2022Neural Controller Synthesis for Signal Temporal Logic Specifications Using Encoder-Decoder Structured Networkscited by 1
- 2024Tolerance of Reinforcement Learning Controllers against Deviations in Cyber Physical Systemscited by 1
- 2026Spatiotemporal Robustness of Temporal Logic Tasks using Multi-Objective Reasoningcited by 1
- 2024Autonomous Vehicles Path Planning under Temporal Logic Specificationscited by 0
- 2025Feasibility-aware Learning of Robust Temporal Logic Controllers using BarrierNetcited by 0
- 2026GraSP-STL: A Graph-Based Framework for Zero-Shot Signal Temporal Logic Planning via Offline Goal-Conditioned Reinforcement Learningcited by 0
- 2026Reward Machines for Signal Temporal Logiccited by 0
- 2026Reward Machines for Signal Temporal Logic13 Aug 2026
- 2026GraSP-STL: A Graph-Based Framework for Zero-Shot Signal Temporal Logic Planning via Offline Goal-Conditioned Reinforcement Learning31 Mar 2026
- 2026Spatiotemporal Robustness of Temporal Logic Tasks using Multi-Objective Reasoning28 Jan 2026
- 2025Feasibility-aware Learning of Robust Temporal Logic Controllers using BarrierNet7 Dec 2025
- 2025STLCG++: A Masking Approach for Differentiable Signal Temporal Logic Specification8 Jan 2025
- 2024Autonomous Vehicles Path Planning under Temporal Logic Specifications10 Oct 2024
- 2024Tolerance of Reinforcement Learning Controllers against Deviations in Cyber Physical Systems24 Jun 2024
- 2024A Survey of Optimization-based Task and Motion Planning: From Classical To Learning Approaches3 Apr 2024
- 2023Learning Robust and Correct Controllers from Signal Temporal Logic Specifications Using BarrierNet12 Apr 2023
- 2022Neural Controller Synthesis for Signal Temporal Logic Specifications Using Encoder-Decoder Structured Networks10 Dec 2022
- 2022STL-Based Synthesis of Feedback Controllers Using Reinforcement Learning2 Dec 2022
- 2022Learning Signal Temporal Logic through Neural Network for Interpretable Classification4 Oct 2022
7 more
- 2022Testing Rare Downstream Safety Violations via Upstream Adaptive Sampling of Perception Error Models20 Sep 2022
- 2022Model Predictive Robustness of Signal Temporal Logic Predicates16 Sep 2022
- 2022Interpretable Fault Diagnosis of Rolling Element Bearings with Temporal Logic Neural Network15 Apr 2022
- 2021Reinforcement Learning with Formal Performance Metrics for Quadcopter Attitude Control under Non-nominal Contexts27 Jul 2021
- 2021Safety of the Intended Driving Behavior Using Rulebooks10 May 2021
- 2021Neural Network-based Control for Multi-Agent Systems from Spatio-Temporal Specifications6 Apr 2021
- 2021STL Robustness Risk over Discrete-Time Stochastic Processes3 Apr 2021
- 2024A Survey of Optimization-based Task and Motion Planning: From Classical To Learning Approachescited by 19
- 2022Learning Signal Temporal Logic through Neural Network for Interpretable Classificationcited by 10
- 2021Safety of the Intended Driving Behavior Using Rulebookscited by 8
- 2022Testing Rare Downstream Safety Violations via Upstream Adaptive Sampling of Perception Error Modelscited by 7
- 2023Learning Robust and Correct Controllers from Signal Temporal Logic Specifications Using BarrierNetcited by 6
- 2025STLCG++: A Masking Approach for Differentiable Signal Temporal Logic Specificationcited by 6
- 2021STL Robustness Risk over Discrete-Time Stochastic Processescited by 4
- 2022Interpretable Fault Diagnosis of Rolling Element Bearings with Temporal Logic Neural Networkcited by 4
- 2022STL-Based Synthesis of Feedback Controllers Using Reinforcement Learningcited by 4
- 2022Model Predictive Robustness of Signal Temporal Logic Predicatescited by 3
- 2021Neural Network-based Control for Multi-Agent Systems from Spatio-Temporal Specificationscited by 2
- 2021Reinforcement Learning with Formal Performance Metrics for Quadcopter Attitude Control under Non-nominal Contextscited by 2
12 most cited of 17 All 17 (JSON)
- 2026Reward Machines for Signal Temporal Logic13 Aug 2026
- 2026Spatiotemporal Robustness of Temporal Logic Tasks using Multi-Objective Reasoning28 Jan 2026
- 2025Feasibility-aware Learning of Robust Temporal Logic Controllers using BarrierNet7 Dec 2025
- 2025STLCG++: A Masking Approach for Differentiable Signal Temporal Logic Specification8 Jan 2025
- 2024Tolerance of Reinforcement Learning Controllers against Deviations in Cyber Physical Systems24 Jun 2024
- 2024A Survey of Optimization-based Task and Motion Planning: From Classical To Learning Approaches3 Apr 2024
- 2023Learning Robust and Correct Controllers from Signal Temporal Logic Specifications Using BarrierNet12 Apr 2023
- 2022Neural Controller Synthesis for Signal Temporal Logic Specifications Using Encoder-Decoder Structured Networks10 Dec 2022
- 2022STL-Based Synthesis of Feedback Controllers Using Reinforcement Learning2 Dec 2022
- 2022Learning Signal Temporal Logic through Neural Network for Interpretable Classification4 Oct 2022
- 2022Testing Rare Downstream Safety Violations via Upstream Adaptive Sampling of Perception Error Models20 Sep 2022
- 2022Model Predictive Robustness of Signal Temporal Logic Predicates16 Sep 2022
12 newest of 17 All 17 (JSON)