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Linear Temporal Logic (LTL) is a formal way of specifying complex objectives for planning problems modeled as Markov Decision Processes (MDPs). The planning problem aims to find the optimal policy that maximizes the satisfaction probability…

Robotics · Computer Science 2024-08-13 Zetong Xuan , Yu Wang

MPC (Model predictive control)-based motion planning and trajectory generation are essential in applications such as unmanned aerial vehicles, robotic manipulators, and rocket control. However, the real-time implementation of such…

Robotics · Computer Science 2025-11-11 Haotian Tan , Yuan-Hua Ni

Task planning with temporally extended goals (TEGs) is a critical challenge in AI and robotics, enabling agents to achieve complex sequences of objectives over time rather than addressing isolated, immediate tasks. Linear Temporal Logic on…

Artificial Intelligence · Computer Science 2026-01-21 Yuliia Suprun , Khen Elimelech , Lydia E. Kavraki , Moshe Y. Vardi

Temporal Logic (TL) guided control problems have gained interests in recent years. By using the TL, one can specify a wide range of temporal constraints on the system and is widely used in cyber-physical systems. On the other hand, Control…

Systems and Control · Computer Science 2019-03-12 Guang Yang , Roberto Tron , Calin Belta

In this work, we consider the problem of planning for temporal logic tasks in large robot environments. When full task compliance is unattainable, we aim to achieve the best possible task satisfaction by integrating user preferences for…

Robotics · Computer Science 2025-11-24 Disha Kamale , Xi Yu , Cristian-Ioan Vasile

In this work, we propose a method to decompose signal temporal logic (STL) tasks for multi-agent systems subject to constraints imposed by the communication graph. Specifically, we propose to decompose tasks defined over multiple agents…

Systems and Control · Electrical Eng. & Systems 2024-02-28 Gregorio Marchesini , Siyuan Liu , Lars Lindemann , Dimos V. Dimarogonas

In this paper we focus on the problem of decomposing a global Signal Temporal Logic formula (STL) assigned to a multi-agent system to local STL tasks when the team of agents is a-priori decomposed to disjoint sub-teams. The predicate…

Systems and Control · Electrical Eng. & Systems 2021-03-11 Maria Charitidou , Dimos V. Dimarogonas

In this paper we discuss a sequential algorithm for the computation of a minimum-time speed profile over a given path, under velocity, acceleration and jerk constraints. Such a problem arises in industrial contexts such as automated…

Optimization and Control · Mathematics 2021-06-01 L. Consolini , M. Locatelli , A. Minari

We address the Multi-Robot Motion Planning (MRMP) problem of computing collision-free trajectories for multiple robots in shared continuous environments. While existing frameworks effectively decompose MRMP into single-robot subproblems,…

Robotics · Computer Science 2025-07-01 Jingtao Tang , Zining Mao , Lufan Yang , Hang Ma

Research in robotic planning with temporal logic specifications, such as Linear Temporal Logic (LTL), has relied on single formulas. However, as task complexity increases, LTL formulas become lengthy, making them difficult to interpret and…

Robotics · Computer Science 2025-06-06 Xusheng Luo , Changliu Liu

With the development of robotics, there are growing needs for real time motion planning. However, due to obstacles in the environment, the planning problem is highly non-convex, which makes it difficult to achieve real time computation…

Optimization and Control · Mathematics 2018-05-22 Changliu Liu , Chung-Yen Lin , Masayoshi Tomizuka

Lazy search algorithms can efficiently solve problems where edge evaluation is the bottleneck in computation, as is the case for robotic motion planning. The optimal algorithm in this class, LazySP, lazily restricts edge evaluation to only…

Robotics · Computer Science 2019-07-24 Aditya Mandalika , Sanjiban Choudhury , Oren Salzman , Siddhartha Srinivasa

Learning to solve complex tasks with signal temporal logic (STL) specifications is crucial to many real-world applications. However, most previous works only consider fixed or parametrized STL specifications due to the lack of a diverse STL…

Robotics · Computer Science 2025-05-02 Yue Meng , Chuchu Fan

Trained humans exhibit highly agile spatial skills, enabling them to operate vehicles with complex dynamics in demanding tasks and conditions. Prior work shows that humans achieve this performance by using strategies such as satisficing,…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Andrew Feit , Bérénice Mettler

Time Optimal Path Parametrization is the problem of minimizing the time interval during which an actuation constrained agent can traverse a given path. Recently, an efficient linear-time algorithm for solving this problem was proposed.…

Robotics · Computer Science 2019-06-24 Igor Spasojevic , Varun Murali , Sertac Karaman

Multi-agent systems can be extremely efficient when solving a team-wide task in a concurrent manner. However, without proper synchronization, the correctness of the combined behavior is hard to guarantee, such as to follow a specific…

Robotics · Computer Science 2024-04-10 Zesen Liu , Meng Guo , Zhongkui Li

In this paper, we consider teams of robots with heterogeneous skills (e.g., sensing and manipulation) tasked with collaborative missions described by Linear Temporal Logic (LTL) formulas. These LTL-encoded tasks require robots to apply…

Robotics · Computer Science 2025-04-18 Samarth Kalluraya , Beichen Zhou , Yiannis Kantaros

Efficient coordination and planning is essential for large-scale multi-agent systems that collaborate in a shared dynamic environment. Heuristic search methods or learning-based approaches often lack the guarantee on correctness and…

Robotics · Computer Science 2024-04-10 Zesen Liu , Meng Guo , Weimin Bao , Zhongkui Li

In this work, we focus on decomposing large multi-agent path planning problems with global temporal logic goals (common to all agents) into smaller sub-problems that can be solved and executed independently. Crucially, the sub-problems'…

Artificial Intelligence · Computer Science 2022-03-17 Kevin Leahy , Austin Jones , Cristian-Ioan Vasile

This paper proposes a method for designing human-robot collaboration tasks and generating corresponding trajectories. The method uses high-level specifications, expressed as a Signal Temporal Logic (STL) formula, to automatically synthesize…

Robotics · Computer Science 2023-07-03 Giuseppe Silano , Amr Afifi , Martin Saska , Antonio Franchi