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This paper proposes a reinforcement learning method for controller synthesis of autonomous systems in unknown and partially-observable environments with subjective time-dependent safety constraints. Mathematically, we model the system…

Robotics · Computer Science 2021-04-06 Yu Wang , Alper Kamil Bozkurt , Miroslav Pajic

We study the problem of synthesizing control strategies for Linear Temporal Logic (LTL) objectives in unknown environments. We model this problem as a turn-based zero-sum stochastic game between the controller and the environment, where the…

Robotics · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael Zavlanos , Miroslav Pajic

This paper investigates the motion planning of autonomous dynamical systems modeled by Markov decision processes (MDP) with unknown transition probabilities over continuous state and action spaces. Linear temporal logic (LTL) is used to…

Machine Learning · Computer Science 2022-01-25 Mingyu Cai , Mohammadhosein Hasanbeig , Shaoping Xiao , Alessandro Abate , Zhen Kan

In this paper, we develop a method to automatically generate a control policy for a dynamical system modeled as a Markov Decision Process (MDP). The control specification is given as a Linear Temporal Logic (LTL) formula over a set of…

Robotics · Computer Science 2011-03-24 Xu Chu Ding , Stephen L. Smith , Calin Belta , Daniela Rus

We propose a compositional approach to synthesize policies for networks of continuous-space stochastic control systems with unknown dynamics using model-free reinforcement learning (RL). The approach is based on implicitly abstracting each…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Abolfazl Lavaei , Mateo Perez , Milad Kazemi , Fabio Somenzi , Sadegh Soudjani , Ashutosh Trivedi , Majid Zamani

This paper explores continuous-time control synthesis for target-driven navigation to satisfy complex high-level tasks expressed as linear temporal logic (LTL). We propose a model-free framework using deep reinforcement learning (DRL) where…

Robotics · Computer Science 2023-03-17 Mingyu Cai , Makai Mann , Zachary Serlin , Kevin Leahy , Cristian-Ioan Vasile

Techniques based on Reinforcement Learning (RL) are increasingly being used to design control policies for robotic systems. RL fundamentally relies on state-based reward functions to encode desired behavior of the robot and bad reward…

Robotics · Computer Science 2020-11-11 Parv Kapoor , Anand Balakrishnan , Jyotirmoy V. Deshmukh

Learning to control an unknown dynamical system with respect to high-level temporal specifications is an important problem in control theory. We present the first regret-free online algorithm for learning a controller for linear temporal…

Artificial Intelligence · Computer Science 2025-06-09 Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani

This paper investigates the problem of designing control policies that satisfy high-level specifications described by signal temporal logic (STL) in unknown, stochastic environments. While many existing works concentrate on optimizing the…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Siqi Wang , Shaoyuan Li , Li Yin , Xiang Yin

Model-free reinforcement learning (RL) is a powerful approach for learning control policies directly from high-dimensional state and observation. However, it tends to be data-inefficient, which is especially costly in robotic learning…

Robotics · Computer Science 2020-10-14 Xubo Lyu , Mo Chen

We present a method to find an optimal policy with respect to a reward function for a discounted Markov decision process under general linear temporal logic (LTL) specifications. Previous work has either focused on maximizing a cumulative…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

Many applications -- including power systems, robotics, and economics -- involve a dynamical system interacting with a stochastic and hard-to-model environment. We adopt a reinforcement learning approach to control such systems.…

Optimization and Control · Mathematics 2025-08-26 Abed AlRahman Al Makdah , Oliver Kosut , Lalitha Sankar , Shaofeng Zou

We present a computational framework for synthesis of distributed control strategies for a heterogeneous team of robots in a partially observable environment. The goal is to cooperatively satisfy specifications given as Truncated Linear…

Artificial Intelligence · Computer Science 2022-04-07 Ningyuan Zhang , Wenliang Liu , Calin Belta

We propose a method for efficient training of Q-functions for continuous-state Markov Decision Processes (MDPs) such that the traces of the resulting policies satisfy a given Linear Temporal Logic (LTL) property. LTL, a modal logic, can…

Machine Learning · Computer Science 2019-03-15 Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

Linear temporal logic (LTL) is a powerful language for task specification in reinforcement learning, as it allows describing objectives beyond the expressivity of conventional discounted return formulations. Nonetheless, recent works have…

Machine Learning · Computer Science 2025-06-11 Marco Bagatella , Andreas Krause , Georg Martius

Recently, reinforcement learning has been used to address logic synthesis by formulating the operator sequence optimization problem as a Markov decision process. However, through extensive experiments, we find out that the learned policy…

Machine Learning · Computer Science 2022-06-28 Chao Wang , Chen Chen , Dong Li , Bin Wang

Reinforcement learning (RL) is currently one of the most prominent methods for optimizing dynamical systems, with breakthrough results across various fields. The framework is based on the concept of a Markov decision process (MDP), leading…

Optimization and Control · Mathematics 2025-11-17 Rene Carmona , Mathieu Lauriere

Robotic systems operating in dynamic and uncertain environments increasingly require planners that satisfy complex task sequences while adhering to strict temporal constraints. Metric Interval Temporal Logic (MITL) offers a formal and…

Robotics · Computer Science 2026-01-05 Zhaoan Wang , Junchao Li , Mahdi Mohammad , Shaoping Xiao

Reinforcement learning (RL) is a promising approach. However, success is limited to real-world applications, because ensuring safe exploration and facilitating adequate exploitation is a challenge for controlling robotic systems with…

Robotics · Computer Science 2022-08-29 Mingyu Cai , Cristian-Ioan Vasile

We propose an automata-theoretic approach for reinforcement learning (RL) under complex spatio-temporal constraints with time windows. The problem is formulated using a Markov decision process under a bounded temporal logic constraint.…

Artificial Intelligence · Computer Science 2023-08-01 Xiaoshan Lin , Abbasali Koochakzadeh , Yasin Yazicioglu , Derya Aksaray