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In this paper, we present an optimization based method for path planning of a mobile robot subject to time bounded temporal constraints, in a dynamic environment. Temporal logic (TL) can address very complex task specification such as…

Systems and Control · Computer Science 2016-04-29 Yuchen Zhou , Dipankar Maity , John S. Baras

Signal Temporal Logic (STL) is an efficient technique for describing temporal constraints. It can play a significant role in robotic manipulation, for example, to optimize the robot performance according to task-dependent metrics. In this…

Robotics · Computer Science 2021-10-04 Akshay Dhonthi , Philipp Schillinger , Leonel Rozo , Daniele Nardi

This paper addresses the multi-agent control problem under global temporal logic tasks, considering agents with heterogeneous capabilities. These global tasks involve not only absolute and relative temporal and spatial constraints, but also…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Tiange Yang , Yuanyuan Zou , Jinfeng Liu , Shaoyuan Li , Xiaohu Zhao

Signal Temporal Logic (STL) provides a powerful framework to describe complex tasks involving temporal and logical behavior in dynamical systems. This work addresses controller synthesis for continuous-time systems subject to STL…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Vaishnavi Jagabathula , Pushpak Jagtap

Signal Temporal Logic (STL) is a powerful specification language for describing complex temporal behaviors of continuous signals, making it well-suited for high-level robotic task descriptions. However, generating executable plans for STL…

Robotics · Computer Science 2025-10-28 Ruijia Liu , Ancheng Hou , Xiao Yu , Xiang Yin

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

Signal Temporal Logic (STL) is widely used to specify timed and safety-critical tasks for cyber-physical systems, but writing STL formulas directly is difficult for non-expert users. Natural language (NL) provides a convenient interface,…

Computation and Language · Computer Science 2026-03-31 Kosei Fushimi , Kazunobu Serizawa , Junya Ikemoto , Kazumune Hashimoto

Formulating the intended behavior of a dynamic system can be challenging. Signal temporal logic (STL) is frequently used for this purpose due to its suitability in formalizing comprehensible, modular, and versatile spatiotemporal…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Patrick Halder , Hannes Homburger , Lothar Kiltz , Johannes Reuter , Matthias Althoff

Signal Temporal Logic (STL) is a convenient formalism to express bounded horizon properties of autonomous critical systems. STL extends LTL to real-valued signals and associates a non-singleton bound interval to each temporal operators. In…

Logic in Computer Science · Computer Science 2023-11-17 Céline Bellanger , Pierre-Loïc Garoche , Matthieu Martel , Célia Picard

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

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

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

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

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) inference seeks to extract human-interpretable rules from time-series data, but existing methods lack formal confidence guarantees for the inferred rules. Conformal prediction (CP) is a technique that can provide…

Machine Learning · Computer Science 2025-10-23 Danyang Li , Yixuan Wang , Matthew Cleaveland , Mingyu Cai , Roberto Tron

This article presents MAPS$^2$ : a distributed algorithm that allows multi-robot systems to deliver coupled tasks expressed as Signal Temporal Logic (STL) constraints. Classical control theoretical tools addressing STL constraints either…

Robotics · Computer Science 2025-12-17 Mayank Sewlia , Christos K. Verginis , Dimos V. Dimarogonas

In this work, we present a novel robustness measure for continuous-time stochastic trajectories with respect to Signal Temporal Logic (STL) specifications. We show the soundness of the measure and develop a monitor for reasoning about…

Formal Languages and Automata Theory · Computer Science 2023-05-30 Roland B. Ilyes , Qi Heng Ho , Morteza Lahijanian

This paper addresses the planning and control problem for nonlinear systems under Signal Temporal Logic (STL) specifications. We first decompose an STL task into finite local tasks. A sampling-based method generates sequences of local…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Zuodong Pan , Xu Fang , Wei Ren

Formal control of cyber-physical systems allows for synthesis of control strategies from rich specifications such as temporal logics. However, the classes of systems that the formal approaches can be applied to is limited due to the…

Logic in Computer Science · Computer Science 2019-09-04 Irmak Saglam , Ebru Aydin Gol

This paper presents a smooth parameterization of continuous-time Signal Temporal Logic (CT-STL) specifications for nonconvex trajectory optimization that is sound and complete up to the accuracy of the underlying numerical integration…

Optimization and Control · Mathematics 2026-04-07 Samet Uzun , Behçet Açıkmeşe