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This paper offers a direct data-driven approach for learning robust control barrier certificates (R-CBCs) and robust safety controllers (R-SCs) for discrete-time input-affine polynomial systems with unknown dynamics under…

系统与控制 · 电气工程与系统科学 2025-07-22 Omid Akbarzadeh , MohammadHossein Ashoori , Abolfazl Lavaei

Enforcing safety for dynamical systems is challenging, since it requires constraint satisfaction along trajectory predictions. Equivalent control constraints can be computed in the form of sets that enforce positive invariance, and can thus…

系统与控制 · 电气工程与系统科学 2021-05-19 Pierre-François Massiani , Steve Heim , Sebastian Trimpe

Autonomous systems operating in the real world encounter a range of uncertainties. Probabilistic neural Lyapunov certification is a powerful approach to proving safety of nonlinear stochastic dynamical systems. When faced with changes…

人工智能 · 计算机科学 2025-05-21 Sterre Lutz , Matthijs T. J. Spaan , Anna Lukina

Control invariant sets play an important role in safety-critical control and find broad application in numerous fields such as obstacle avoidance for mobile robots. However, finding valid control invariant sets of dynamical systems under…

系统与控制 · 电气工程与系统科学 2024-11-08 Matti Vahs , Shaohang Han , Jana Tumova

A barrier certificate is an inductive invariant function which can be used for the safety verification of a hybrid system. Safety verification based on barrier certificate has the benefit of avoiding explicit computation of the exact…

软件工程 · 计算机科学 2013-03-28 Hui Kong , Fei He , Xiaoyu Song , William N. N. Hung , Ming Gu

We study the problem of learning controllers for discrete-time non-linear stochastic dynamical systems with formal reach-avoid guarantees. This work presents the first method for providing formal reach-avoid guarantees, which combine and…

机器学习 · 计算机科学 2022-11-30 Đorđe Žikelić , Mathias Lechner , Thomas A. Henzinger , Krishnendu Chatterjee

This paper investigates the problem of safety certification for black-box discrete-time stochastic systems, where both the system dynamics and disturbance distributions are unknown, and only sampled data are available. Under such limited…

系统与控制 · 电气工程与系统科学 2026-02-17 Taoran Wu , Dominik Wagner , Jingduo Pan , Luke Ong , Arvind Easwaran , Bai Xue

In this paper, we address robust static anti-windup compensator design and performance analysis for saturated linear closed loops in the presence of nonlinear probabilistic parameter uncertainties via randomized techniques. The proposed…

系统与控制 · 计算机科学 2016-11-18 Simone Formentin , Fabrizio Dabbene , Roberto Tempo , Luca Zaccarian , Sergio M. Savaresi

Safety in terms of collision avoidance for multi-robot systems is a difficult challenge under uncertainty, non-determinism and lack of complete information. This paper aims to propose a collision avoidance method that accounts for both…

机器人学 · 计算机科学 2020-12-09 Wenhao Luo , Wen Sun , Ashish Kapoor

This paper presents a methodology for temporal logic verification of discrete-time stochastic systems. Our goal is to find a lower bound on the probability that a complex temporal property is satisfied by finite traces of the system.…

系统与控制 · 计算机科学 2019-11-22 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

Training-time safety violations have been a major concern when we deploy reinforcement learning algorithms in the real world. This paper explores the possibility of safe RL algorithms with zero training-time safety violations in the…

机器学习 · 计算机科学 2022-03-14 Yuping Luo , Tengyu Ma

We propose a piecewise learning framework for controlling nonlinear systems with unknown dynamics. While model-based reinforcement learning techniques in terms of some basis functions are well known in the literature, when it comes to more…

最优化与控制 · 数学 2022-04-06 Milad Farsi , Yinan Li , Ye Yuan , Jun Liu

We introduce a general methodology for quantitative model checking and control synthesis with supermartingale certificates. We show that every specification that is invariant to time shifts admits a stochastic invariant that bounds its…

计算机科学中的逻辑 · 计算机科学 2025-04-08 Alessandro Abate , Mirco Giacobbe , Diptarko Roy

Safety control of dynamical systems using barrier functions relies on knowing the full state information. This paper introduces a novel approach for safety control in uncertain MIMO systems with partial state information. The proposed…

系统与控制 · 电气工程与系统科学 2024-10-01 Binghan He , Takashi Tanaka

In this paper, we present a novel data-driven approach to quantify safety for non-linear, discrete-time stochastic systems with unknown noise distribution. We define safety as the probability that the system remains in a given region of the…

系统与控制 · 电气工程与系统科学 2024-10-10 Frederik Baymler Mathiesen , Licio Romao , Simeon C. Calvert , Luca Laurenti , Alessandro Abate

In this paper, we introduce a significant extension, called scenario with certificates (SwC), of the so-called scenario approach for uncertain optimization problems. This extension is motivated by the observation that in many control…

系统与控制 · 计算机科学 2016-11-15 Simone Formentin , Fabrizio Dabbene , Roberto Tempo , Luca Zaccarian , Sergio M. Savaresi

We present a novel technique for online safety verification of autonomous systems, which performs reachability analysis efficiently for both bounded and unbounded horizons by employing neural barrier certificates. Our approach uses barrier…

系统与控制 · 电气工程与系统科学 2024-04-30 Alessandro Abate , Sergiy Bogomolov , Alec Edwards , Kostiantyn Potomkin , Sadegh Soudjani , Paolo Zuliani

Safety in reinforcement learning (RL) is a key property in both training and execution in many domains such as autonomous driving or finance. In this paper, we formalize it with a constrained RL formulation in the distributional RL setting.…

机器学习 · 计算机科学 2021-03-01 Jianyi Zhang , Paul Weng

Algorithmic verification of realistic systems to satisfy safety and other temporal requirements has suffered from poor scalability of the employed formal approaches. To design systems with rigorous guarantees, many approaches still rely on…

系统与控制 · 电气工程与系统科学 2024-03-18 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

The widescale deployment of Autonomous Vehicles (AV) seems to be imminent despite many safety challenges that are yet to be resolved. It is well known that there are no universally agreed Verification and Validation (VV) methodologies to…

机器人学 · 计算机科学 2020-03-05 Dhanoop Karunakaran , Stewart Worrall , Eduardo Nebot