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This study aims at characterizing a reachable set of a hybrid dynamical system with a lag constraint in the switch control. The setting does not consider any controllability assumptions and uses a level-set approach. The approach consists…

最优化与控制 · 数学 2012-09-28 Giovanni Granato , Hasnaa Zidani

We present an accelerated algorithm for the solution of static Hamilton-Jacobi-Bellman equations related to optimal control problems. Our scheme is based on a classic policy iteration procedure, which is known to have superlinear…

最优化与控制 · 数学 2016-02-22 Alessandro Alla , Maurizio Falcone , Dante Kalise

This paper investigates performance guarantees on coverage-based ergodic exploration methods in environments containing disturbances. Ergodic exploration methods generate trajectories for autonomous robots such that time spent in each area…

机器人学 · 计算机科学 2024-12-11 Henry Berger , Ian Abraham

Merely pursuing performance may adversely affect the safety, while a conservative policy for safe exploration will degrade the performance. How to balance the safety and performance in learning-based control problems is an interesting yet…

系统与控制 · 电气工程与系统科学 2025-01-28 Xinyang Wang , Hongwei Zhang , Shimin Wang , Wei Xiao , Martin Guay

This paper proposes an adaptive admittance controller for improving efficiency and safety in physical human-robot interaction (pHRI) tasks in small-batch manufacturing that involve contact with stiff environments, such as drilling,…

机器人学 · 计算机科学 2024-07-22 Pouya P. Niaz , Engin Erzin , Cagatay Basdogan

In this article, we consider the infinite-horizon reach-avoid (RA) and stabilize-avoid (SA) zero-sum game problems for general nonlinear continuous-time systems, where the goal is to find the set of states that can be controlled to reach or…

最优化与控制 · 数学 2026-05-20 Boyang Li , Zheng Gong , Sylvia Herbert

Autonomous coverage of a specified area by robots operating in close proximity with each other has many potential applications such as real-time monitoring of rapidly changing environments, and search and rescue; however, coordination and…

多智能体系统 · 计算机科学 2020-09-28 Juan Chacon , Mo Chen , Razvan Fetecau

This paper introduces Deep Policy Iteration (DPI), a novel approach that integrates the strengths of Neural Networks with the stability and convergence advantages of Policy Iteration (PI) to address high-dimensional stochastic Mean Field…

最优化与控制 · 数学 2024-07-15 Mouhcine Assouli , Badr Missaoui

We present ProbReach, a tool for verifying probabilistic reachability for stochastic hybrid systems, i.e., computing the probability that the system reaches an unsafe region of the state space. In particular, ProbReach will compute an…

计算机科学中的逻辑 · 计算机科学 2015-03-06 Fedor Shmarov , Paolo Zuliani

We propose a neural network approach for solving high-dimensional optimal control problems. In particular, we focus on multi-agent control problems with obstacle and collision avoidance. These problems immediately become high-dimensional,…

最优化与控制 · 数学 2022-05-05 Derek Onken , Levon Nurbekyan , Xingjian Li , Samy Wu Fung , Stanley Osher , Lars Ruthotto

In this paper, we present a scalable deep learning approach to solve opinion dynamics stochastic optimal control problems with mean field term coupling in the dynamics and cost function. Our approach relies on the probabilistic…

多智能体系统 · 计算机科学 2022-04-19 Tianrong Chen , Ziyi Wang , Evangelos A. Theodorou

The exploration \& exploitation dilemma poses significant challenges in reinforcement learning (RL). Recently, curiosity-based exploration methods achieved great success in tackling hard-exploration problems. However, they necessitate…

机器学习 · 计算机科学 2024-12-06 Yiran Wang , Chenshu Liu , Yunfan Li , Sanae Amani , Bolei Zhou , Lin F. Yang

This paper presents a novel deep learning framework for solving multiple optimal stopping problems in high dimensions. While deep learning has recently shown promise for single stopping problems, the multiple exercise case involves complex…

最优化与控制 · 数学 2025-12-30 Mathieu Laurière , Mehdi Talbi

Being able to reason in an environment with a large number of discrete actions is essential to bringing reinforcement learning to a larger class of problems. Recommender systems, industrial plants and language models are only some of the…

Many real-world applications can be formulated as multi-agent cooperation problems, such as network packet routing and coordination of autonomous vehicles. The emergence of deep reinforcement learning (DRL) provides a promising approach for…

多智能体系统 · 计算机科学 2022-06-28 Zhixuan Liang , Jiannong Cao , Shan Jiang , Divya Saxena , Huafeng Xu

Hierarchical Reinforcement Learning (HRL) agents often struggle with long-horizon visual planning due to their reliance on error-prone distance metrics. We propose Discrete Hierarchical Planning (DHP), a method that replaces continuous…

机器人学 · 计算机科学 2025-12-22 Shashank Sharma , Janina Hoffmann , Vinay Namboodiri

It is well known that time dependent Hamilton-Jacobi-Isaacs partial differential equations (HJ PDE), play an important role in analyzing continuous dynamic games and control theory problems. An important tool for such problems when they…

最优化与控制 · 数学 2016-05-09 Jérôme Darbon , Stanley Osher

Real-time safety systems are crucial components of intelligent vehicles. This paper introduces a prediction-based collision risk assessment approach on highways. Given a point mass vehicle dynamics system, a stochastic forward reachable set…

系统与控制 · 电气工程与系统科学 2022-05-04 Xinwei Wang , Zirui Li , Javier Alonso-Mora , Meng Wang

This work presents a Hierarchical Multi-Agent Reinforcement Learning framework for analyzing simulated air combat scenarios involving heterogeneous agents. The objective is to identify effective Courses of Action that lead to mission…

Reach-avoid optimal control problems, in which the system must reach certain goal conditions while staying clear of unacceptable failure modes, are central to safety and liveness assurance for autonomous robotic systems, but their exact…

机器学习 · 计算机科学 2022-01-25 Kai-Chieh Hsu , Vicenç Rubies-Royo , Claire J. Tomlin , Jaime F. Fisac