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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

We present a framework to interpret signal temporal logic (STL) formulas over discrete-time stochastic processes in terms of the induced risk. Each realization of a stochastic process either satisfies or violates an STL formula. In fact, we…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Lars Lindemann , Nikolai Matni , George J. Pappas

This study investigates formal-method-based trajectory optimization (TO) for bipedal locomotion, focusing on scenarios where the robot encounters external perturbations at unforeseen times. Our key research question centers around the…

Robotics · Computer Science 2023-10-18 Zhaoyuan Gu , Rongming Guo , William Yates , Yipu Chen , Ye Zhao

The Internet-of-Things, complex sensor networks, multi-agent cyber-physical systems are all examples of spatially distributed systems that continuously evolve in time. Such systems generate huge amounts of spatio-temporal data, and system…

Machine Learning · Computer Science 2021-06-17 Sara Mohammadinejad , Jyotirmy V. Deshmukh , Laura Nenzi

Traffic prediction, an essential component for intelligent transportation systems, endeavours to use historical data to foresee future traffic features at specific locations. Although existing traffic prediction models often emphasize…

Machine Learning · Computer Science 2024-07-09 Chenxi Liu , Sun Yang , Qianxiong Xu , Zhishuai Li , Cheng Long , Ziyue Li , Rui Zhao

Real-world robotic systems must comply with safety requirements in the presence of uncertainty. To define and measure requirement adherence, Signal Temporal Logic (STL) offers a mathematically rigorous and expressive language. However,…

Logic in Computer Science · Computer Science 2025-11-04 Elizabeth Dietrich , Hanna Krasowski , Emir Cem Gezer , Roger Skjetne , Asgeir Johan Sørensen , Murat Arcak

Synthesis from linear temporal logic (LTL) specifications provides assured controllers for systems operating in stochastic and potentially adversarial environments. Automatic synthesis tools, however, require a model of the environment to…

Artificial Intelligence · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael M. Zavlanos , Miroslav Pajic

In this paper, we develop a distributed intermittent communication and task planning framework for mobile robot teams. The goal of the robots is to accomplish complex tasks, captured by local Linear Temporal Logic formulas, and share the…

Robotics · Computer Science 2018-06-26 Yiannis Kantaros , Meng Guo , Michael M. Zavlanos

We present a novel method for imitation learning for control requirements expressed using Signal Temporal Logic (STL). More concretely we focus on the problem of training a neural network to imitate a complex controller. The learning…

Robotics · Computer Science 2024-03-26 Thao Dang , Alexandre Donzé , Inzemamul Haque , Nikolaos Kekatos , Indranil Saha

In this paper, we present a novel RRT*-based strategy for generating kinodynamically feasible paths that satisfy temporal logic specifications. Our approach integrates a robustness metric for Linear Temporal Logics (LTL) with the system's…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Saksham Gautam , Ratnangshu Das , Pushpak Jagtap

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

Formal methods provide very powerful tools and techniques for the design and analysis of complex systems. Their practical application remains however limited, due to the widely accepted belief that formal methods require extensive expertise…

Computation and Language · Computer Science 2022-03-25 Jie He , Ezio Bartocci , Dejan Ničković , Haris Isakovic , Radu Grosu

While Temporal Logic provides a rigorous verification framework for robotics, it typically operates on trajectory-level signals and does not natively represent the object-centric geometric relations that are central to manipulation.…

Robotics · Computer Science 2026-03-25 Licheng Luo , Kaier Liang , Yu Xia , Mingyu Cai

The reliable execution of high-level missions in multi-robot systems with heterogeneous agents, requires robust methods for detecting spurious behaviors. In this paper, we address the challenge of identifying spurious executions of plans…

Robotics · Computer Science 2026-04-23 Fernando Salanova , Jesús Roche , Cristian Mahulea , Eduardo Montijano

This paper addresses a new semantic multi-robot planning problem in uncertain and dynamic environments. Particularly, the environment is occupied with non-cooperative, mobile, uncertain labeled targets. These targets are governed by…

Robotics · Computer Science 2023-03-07 Samarth Kalluraya , George J. Pappas , Yiannis Kantaros

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

Robots interacting with humans must be safe, reactive and adapt online to unforeseen environmental and task changes. Achieving these requirements concurrently is a challenge as interactive planners lack formal safety guarantees, while safe…

Robotics · Computer Science 2024-05-01 Farhad Nawaz , Shaoting Peng , Lars Lindemann , Nadia Figueroa , Nikolai Matni

We propose a mathematical framework for synthesizing motion plans for multi-agent systems that fulfill complex, high-level and formal local specifications in the presence of inter-agent communication. The proposed synthesis framework…

Systems and Control · Computer Science 2017-06-01 Zhiyu Liu , Jin Dai , Bo Wu , Hai Lin

Generalizing to complex and temporally extended task objectives and safety constraints remains a critical challenge in reinforcement learning (RL). Linear temporal logic (LTL) offers a unified formalism to specify such requirements, yet…

Artificial Intelligence · Computer Science 2025-11-11 Zijian Guo , İlker Işık , H. M. Sabbir Ahmad , Wenchao Li

To enable non-experts to specify long-horizon, multi-robot collaborative tasks, language models are increasingly used to translate natural language commands into formal specifications. However, because translation can occur in multiple…

Robotics · Computer Science 2024-12-06 Shaojun Xu , Xusheng Luo , Yutong Huang , Letian Leng , Ruixuan Liu , Changliu Liu