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This paper introduces time window temporal logic (TWTL), a rich expressivity language for describing various time bounded specifications. In particular, the syntax and semantics of TWTL enable the compact representation of serial tasks,…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Cristian-Ioan Vasile , Derya Aksaray , Calin Belta

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

Most offline RL algorithms return optimal policies but do not provide statistical guarantees on desirable behaviors. This could generate reliability issues in safety-critical applications, such as in some multiagent domains where agents,…

Machine Learning · Computer Science 2025-08-19 Edoardo Zorzi , Alberto Castellini , Leonidas Bakopoulos , Georgios Chalkiadakis , Alessandro Farinelli

In important applications involving multi-task networks with multiple objectives, agents in the network need to decide between these multiple objectives and reach an agreement about which single objective to follow for the network. In this…

Optimization and Control · Mathematics 2018-12-27 Sahar Khawatmi , Abdelhak M. Zoubir , Ali H. Sayed

This work investigates the consensus problem for multi-agent nonlinear systems through the distributed real-time nonlinear receding horizon control methodology. With this work, we develop a scheme to reach the consensus for nonlinear multi…

Optimization and Control · Mathematics 2019-07-17 Fei Sun , Kamran Turkoglu

Many automated planning methods and formulations rely on suitably designed abstractions or simplifications of the constrained dynamics associated with agents to attain computational scalability. We consider formulations of temporal planning…

Logic in Computer Science · Computer Science 2024-06-17 Miquel Ramirez , Anubhav Singh , Peter Stuckey , Chris Manzie

Safe navigation is essential for autonomous systems operating in hazardous environments. Traditional planning methods excel at long-horizon tasks but rely on a predefined graph with fixed distance metrics. In contrast, safe Reinforcement…

Robotics · Computer Science 2025-09-12 Meng Feng , Viraj Parimi , Brian Williams

Decentralized optimization methods often entail information exchange between neighbors. Transmission failures can happen due to network congestion, hardware/software issues, communication outage, and other factors. In this paper, we…

Machine Learning · Computer Science 2024-01-05 Wenjing Yan , Xuanyu Cao

Motivated by the recent interest in formal methods-based control of multi-agent systems, we adopt a bottom-up approach. Each agent is subject to a local signal temporal logic task that may depend on other agents behavior. These dependencies…

Optimization and Control · Mathematics 2018-02-27 Lars Lindemann , Dimos V. Dimarogonas

Multi-agent path finding (MAPF) is an abstract model for the navigation of multiple robots in warehouse automation, where multiple robots plan collision-free paths from the start to goal positions. Reinforcement learning (RL) has been…

Robotics · Computer Science 2023-11-06 Jianqi Gao , Yanjie Li , Xiaoqing Yang , Mingshan Tan

Coordinating multiple autonomous agents in shared environments under decentralized conditions is a long-standing challenge in robotics and artificial intelligence. This work addresses the problem of decentralized goal assignment for…

Artificial Intelligence · Computer Science 2025-10-29 Murad Ismayilov , Edwin Meriaux , Shuo Wen , Gregory Dudek

We consider multi-robot systems under recurring tasks formalized as linear temporal logic (LTL) specifications. To solve the planning problem efficiently, we propose a bottom-up approach combining offline plan synthesis with online…

By starting with the assumption that motion is fundamentally a decision making problem, we use the world-line concept from Special Relativity as the inspiration for a novel multi-agent path planning method. We have identified a particular…

Robotics · Computer Science 2022-04-04 Vismay Modi , Yixin Chen , Abhishek Madan , Shinjiro Sueda , David I. W. Levin

Past research into robotic planning with temporal logic specifications, notably Linear Temporal Logic (LTL), was largely based on a single formula for individual or groups of robots. But with increasing task complexity, LTL formulas…

Robotics · Computer Science 2024-05-27 Xusheng Luo , Shaojun Xu , Ruixuan Liu , Changliu Liu

This paper proposes a new reactive temporal logic planning algorithm for multiple robots that operate in environments with unknown geometry modeled using occupancy grid maps. The robots are equipped with individual sensors that allow them…

Robotics · Computer Science 2020-12-16 Yiannis Kantaros , Matthew Malencia , George J. Pappas

We develop an algorithm for the motion and task planning of a system comprised of multiple robots and unactuated objects under tasks expressed as Linear Temporal Logic (LTL) constraints. The robots and objects evolve subject to uncertain…

Systems and Control · Electrical Eng. & Systems 2022-04-26 Christos K. Verginis , Yiannis Kantaros , Dimos V. Dimarogonas

In this paper, we develop a provably correct optimal control strategy for a finite deterministic transition system. By assuming that penalties with known probabilities of occurrence and dynamics can be sensed locally at the states of the…

Robotics · Computer Science 2013-03-15 Mária Svoreňová , Ivana Černá , Calin Belta

A wide range of applications require or can benefit from collaborative behavior of a group of agents. The technical challenge addressed in this chapter is the development of a decentralized control strategy that enables each agent to…

Systems and Control · Computer Science 2014-02-26 Zhen Kan , John M. Shea , Warren E. Dixon

We present an online centralized path planning algorithm to cover a large, complex, unknown workspace with multiple homogeneous mobile robots. Our algorithm is horizon-based, synchronous, and on-demand. The recently proposed horizon-based…

Robotics · Computer Science 2024-03-08 Ratijit Mitra , Indranil Saha

Traditional task assignment approaches for multi-agent motion control do not take the possibility of collisions into account. This can lead to challenging requirements for path planning. We derive an assignment method that not only…

Optimization and Control · Mathematics 2020-08-26 Tony A. Wood , Mitchell Khoo , Elad Michael , Chris Manzie , Iman Shames