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Signal Temporal Logic (STL) is a formal language for describing a broad range of real-valued, temporal properties in cyber-physical systems. While there has been extensive research on verification and control synthesis from STL…

This paper addresses the problem of learning optimal policies for satisfying signal temporal logic (STL) specifications by agents with unknown stochastic dynamics. The system is modeled as a Markov decision process, in which the states…

Systems and Control · Computer Science 2016-09-26 Derya Aksaray , Austin Jones , Zhaodan Kong , Mac Schwager , Calin Belta

We propose an architecture for integrating high-level, human-provided safety rules and operator-aligned semantic preferences into autonomous robot navigation in unstructured outdoor environments. In our approach, natural-language rules are…

Robotics · Computer Science 2026-05-07 Kristy Sakano , Kalonji Harrington , Mumu Xu

Signal temporal logic (STL) was introduced for monitoring temporal properties of continuous-time signals for continuous and hybrid systems. Differential dynamic logic (dL) was introduced to reason about the end states of a hybrid program.…

Logic in Computer Science · Computer Science 2021-03-17 Hammad Ahmad , Jean-Baptiste Jeannin

We investigate the task and motion planning problem for dynamical systems under signal temporal logic (STL) specifications. Existing works on STL control synthesis mainly focus on generating plans that satisfy properties over a single…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Jianing Zhao , Bowen Ye , Xinyi Yu , Rupak Majumdar , Xiang Yin

We present a framework to synthesize control policies for nonlinear dynamical systems from complex temporal constraints specified in a rich temporal logic called Signal Temporal Logic (STL). We propose a novel smooth and differentiable STL…

Systems and Control · Computer Science 2019-04-29 Iman Haghighi , Noushin Mehdipour , Ezio Bartocci , Calin Belta

We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

Machine Learning · Statistics 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

A new concept, called the spatio-temporal transfer function (STTF), is introduced to characterise a class of linear time-invariant (LTI) spatio-temporal dynamical systems. The spatio-temporal transfer function is a natural extension of the…

Systems and Control · Electrical Eng. & Systems 2021-11-04 Hua-Liang Wei , Stephen A. Billings

Autonomous vehicles are complex systems that are challenging to test and debug. A requirements-driven approach to the development process can decrease the resources required to design and test these systems, while simultaneously increasing…

Robotics · Computer Science 2019-08-06 Cumhur Erkan Tuncali , Georgios Fainekos , Danil Prokhorov , Hisahiro Ito , James Kapinski

Signal Temporal Logic (STL) offers a concise yet expressive framework for specifying and reasoning about spatio-temporal behaviors of robotic systems. Attractively, STL admits the notion of robustness, the degree to which an input signal…

Robotics · Computer Science 2025-09-16 Parv Kapoor , Kazuki Mizuta , Eunsuk Kang , Karen Leung

In this technical report we summarise the spatio-temporal features and present the core operators of FocusST specification framework. We present the general idea of these operators, using a Steam Boiler System example to illustrate how the…

Software Engineering · Computer Science 2016-10-26 Maria Spichkova

Signal temporal logic (STL) is a powerful formalism for specifying various temporal properties in dynamical systems. However, existing methods, such as mixed-integer programming and nonlinear programming, often struggle to efficiently solve…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Yoshinari Takayama , Kazumune Hashimoto , Toshiyuki Ohtsuka

Robust prediction of citywide traffic flows at different time periods plays a crucial role in intelligent transportation systems. While previous work has made great efforts to model spatio-temporal correlations, existing methods still…

Machine Learning · Computer Science 2024-03-07 Jiahao Ji , Jingyuan Wang , Chao Huang , Junjie Wu , Boren Xu , Zhenhe Wu , Junbo Zhang , Yu Zheng

Property Specification Language (PSL) is a form of temporal logic that has been mainly used in discrete domains (e.g. formal hardware verification). In this paper, we show that by merging machine learning techniques with PSL monitors, we…

Machine Learning · Computer Science 2022-05-30 Kevin Smith , Hai Lin , Praveen Tiwari , Marjorie Sayer , Claudionor Coelho

Robotics foundation models have demonstrated strong capabilities in executing natural language instructions across diverse tasks and environments. However, they remain largely data-driven and lack formal guarantees on safety and…

Robotics · Computer Science 2026-03-19 Sadık Bera Yüksel , Derya Aksaray

This paper presents a spatiotemporal tube (STT)-based control framework for satisfying Signal Temporal Logic (STL) specifications in unknown control-affine systems. We formulate STL constraints as a robust optimization problem (ROP) and…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Ratnangshu Das , Subhodeep Choudhury , Pushpak Jagtap

Ensuring safety and meeting temporal specifications are critical challenges for long-term robotic tasks. Signal temporal logic (STL) has been widely used to systematically and rigorously specify these requirements. However, traditional…

Machine Learning · Computer Science 2023-09-12 Yue Meng , Chuchu Fan

There are spatio-temporal rules that dictate how robots should operate in complex environments, e.g., road rules govern how (self-driving) vehicles should behave on the road. However, seamlessly incorporating such rules into a robot control…

Robotics · Computer Science 2022-02-07 Karen Leung , Marco Pavone

Efficiently capturing the complex spatiotemporal representations from large-scale unlabeled traffic data remains to be a challenging task. In considering of the dilemma, this work employs the advanced contrastive learning and proposes a…

Machine Learning · Computer Science 2023-12-19 Lincan Li , Kaixiang Yang , Fengji Luo , Jichao Bi

Spatiotemporal predictive learning (ST-PL) is a hotspot with numerous applications, such as object movement and meteorological prediction. It aims at predicting the subsequent frames via observed sequences. However, inherent uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2022-04-13 Zenghao Chai , Zhengzhuo Xu , Yunpeng Bai , Zhihui Lin , Chun Yuan