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To express temporal properties of dense-time real-valued signals, the Signal Temporal Logic (STL) has been defined by Maler et al. The work presented a monitoring algorithm deciding the satisfiability of STL formulae on finite discrete…

Computational Engineering, Finance, and Science · Computer Science 2012-08-21 Petr Dluhoš , Luboš Brim , David Šafránek

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

Multi-task learning (MTL) seeks to improve the generalized performance of learning specific tasks, exploiting useful information incorporated in related tasks. As a promising area, this paper studies an MTL-based control approach…

Systems and Control · Electrical Eng. & Systems 2024-08-01 Andres Arias , Chuangchuang Sun

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

Signal Temporal Logic (STL) is an expressive formal language for specifying spatio-temporal requirements over real-valued, real-time signals. It has been widely used for the verification and synthesis of autonomous systems and…

Artificial Intelligence · Computer Science 2026-05-12 Bowen Ye , Zhijian Li , Junyue Huang , Junkai Ma , Xiang Yin

This paper presents an algorithmic framework for control synthesis of continuous dynamical systems subject to signal temporal logic (STL) specifications. We propose a novel algorithm to obtain a time-partitioned finite automaton from an STL…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Qi Heng Ho , Roland B. Ilyes , Zachary N. Sunberg , Morteza Lahijanian

Reactive systems that operate in environments with complex data, such as mobile apps or embedded controllers with many sensors, are difficult to synthesize. Synthesis tools usually fail for such systems because the state space resulting…

Logic in Computer Science · Computer Science 2019-05-09 Bernd Finkbeiner , Felix Klein , Ruzica Piskac , Mark Santolucito

Continuous-time control of multiple quadrotors in constrained environments under signal temporal logic (STL) specifications is critical due to their nonlinear dynamics, safety constraints, and the requirement to ensure continuous-time…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Yating Yuan , Yu Liu

Metric Temporal Logic (MTL) is a popular formalism to specify temporal patterns with timing constraints over the behavior of cyber-physical systems with application areas ranging in property-based testing, robotics, optimization, and…

Logic in Computer Science · Computer Science 2026-03-11 Dogan Ulus

Automatic synthesis from temporal logic specifications is an attractive alternative to manual system design, due to its ability to generate correct-by-construction implementations from high-level specifications. Due to the high complexity…

Logic in Computer Science · Computer Science 2023-01-25 Philippe Heim , Rayna Dimitrova

The verification and validation of cyber-physical systems is known to be a difficult problem due to the different modeling abstractions used for control components and for software components. A recent trend to address this difficulty is to…

Logic in Computer Science · Computer Science 2010-10-28 Pritam Roy , Paulo Tabuada , Rupak Majumdar

We tackle the challenging problem of multi-agent cooperative motion planning for complex tasks described using signal temporal logic (STL), where robots can have nonlinear and nonholonomic dynamics. Existing methods in multi-agent motion…

Robotics · Computer Science 2022-01-17 Dawei Sun , Jingkai Chen , Sayan Mitra , Chuchu Fan

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…

Behavior Trees (BTs) provide designers an intuitive graphical interface to construct long-horizon plans for autonomous systems. To ensure their correctness and safety, rigorous formal models and verification techniques are essential.…

Robotics · Computer Science 2026-04-15 Ryan Matheu , John S. Baras , Calin Belta

The synthesis of reactive systems from linear temporal logic (LTL) specifications is an important aspect in the design of reliable software and hardware. We present our adaption of the classic automata-theoretic approach to LTL synthesis,…

Logic in Computer Science · Computer Science 2020-02-21 Michael Luttenberger , Philipp J. Meyer , Salomon Sickert

Autonomous agents often operate in uncertain environments where their decisions are made based on beliefs over states of targets. We are interested in controller synthesis for complex tasks defined over belief spaces. Designing such…

Systems and Control · Computer Science 2015-10-30 Chanyeol Yoo , Calin Belta

This letter aims to generate a continuous-time trajectory consisting of piecewise B\'ezier curves that satisfy signal temporal logic (STL) specifications with piecewise time-varying robustness. Our time-varying robustness is less…

Robotics · Computer Science 2024-10-01 Yating Yuan , Thanin Quartz , Jun Liu

Online monitoring aims to evaluate or to predict, at runtime, whether or not the behaviors of a system satisfy some desired specification. It plays a key role in safety-critical cyber-physical systems. In this work, we propose a new…

Systems and Control · Electrical Eng. & Systems 2022-03-31 Xinyi Yu , Weijie Dong , Xiang Yin , Shaoyuan Li

Reinforcement Learning (RL) has shown promise in various robotics applications, yet its deployment on real systems is still limited due to safety and operational constraints. The safe RL field has gained considerable attention in recent…

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

This paper presents a technique, named STLCG, to compute the quantitative semantics of Signal Temporal Logic (STL) formulas using computation graphs. STLCG provides a platform which enables the incorporation of logical specifications into…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Karen Leung , Nikos Aréchiga , Marco Pavone