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This paper generalizes the control barrier function framework by replacing scalar-valued functions with matrix-valued ones. Specifically, we develop barrier conditions for safe sets defined by matrix inequalities -- both semidefinite and…

系统与控制 · 电气工程与系统科学 2025-09-01 Pio Ong , Yicheng Xu , Ryan M. Bena , Faryar Jabbari , Aaron D. Ames

This paper presents a comprehensive hazard analysis, risk assessment, and loss evaluation for an Evasive Minimum Risk Maneuvering (EMRM) system designed for autonomous vehicles. The EMRM system is engineered to enhance collision avoidance…

Recent learning-based safety filters have outperformed conventional methods, such as hand-crafted Control Barrier Functions (CBFs), by effectively adapting to complex constraints. However, these learning-based approaches lack formal safety…

机器学习 · 计算机科学 2025-06-23 Jiaxing Li , Hanjiang Hu , Yujie Yang , Changliu Liu

The iterative conditional branchings appear in various sensitive algorithms, like the modular exponentiation in the RSA cryptosystem or the scalar multiplication in ellipticcurve cryptography. In this paper, we abstract away the desirable…

密码学与安全 · 计算机科学 2021-03-09 Yoann Marquer , Tania Richmond , Pascal Véron

We investigate the problem of verifying different properties of discrete time dynamical systems, namely, reachability, safety and reach-while-avoid. To achieve this, we adopt a data driven perspective and, using past system trajectories as…

系统与控制 · 电气工程与系统科学 2025-08-13 Luke Rickard , Alessandro Abate , Kostas Margellos

In this paper, we present a computational approach to certify almost sure reachability for discrete-time polynomial stochastic systems by turning drift--variant criteria into sum-of-squares (SOS) programs solved with standard semidefinite…

最优化与控制 · 数学 2025-10-30 Arash Bahari Kordabad , Rupak Majumdar , Sadegh Soudjani

Multi-objective safety-critical control entails a diligent design to avoid possibly conflicting scenarios and ensure safety. This paper addresses multi-objective safety-critical control through a novel approach utilizing barrier states…

系统与控制 · 电气工程与系统科学 2025-07-08 Hassan Almubarak , Nader Sadegh , Evangelos A. Theodorou

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

This paper studies the security of cyber-physical systems under attacks. Our goal is to design system parameters, such as a set of initial conditions and input bounds so that it is secure by design. To this end, we propose new sufficient…

系统与控制 · 电气工程与系统科学 2022-01-03 Kunal Garg , Ricardo G. Sanfelice , Alvaro A. Cardenas

Detecting hidden convexity is one of the tools to address nonconvex minimization problems. After giving a formal definition of hidden convexity, we introduce the notion of conditional infimum, as it will prove instrumental in detecting…

最优化与控制 · 数学 2021-04-13 Jean-Philippe Chancelier , Michel de Lara

Certifying neural network robustness against adversarial examples is challenging, as formal guarantees often require solving non-convex problems. Hence, incomplete verifiers are widely used because they scale efficiently and substantially…

机器学习 · 计算机科学 2026-02-05 Mohammadreza Maleki , Rushendra Sidibomma , Arman Adibi , Reza Samavi

In model-based reinforcement learning for safety-critical control systems, it is important to formally certify system properties (e.g., safety, stability) under the learned controller. However, as existing methods typically apply formal…

机器学习 · 计算机科学 2023-03-22 Yixuan Wang , Simon Zhan , Zhilu Wang , Chao Huang , Zhaoran Wang , Zhuoran Yang , Qi Zhu

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

As industrial autonomous ground vehicles are increasingly deployed in safety-critical environments, ensuring their safe operation under diverse conditions is paramount. This paper presents a novel approach for their safety verification…

机器人学 · 计算机科学 2025-07-17 Nawshin Mannan Proma , Gricel Vázquez , Sepeedeh Shahbeigi , Arjun Badyal , Victoria Hodge

Machine learning has made remarkable advancements, but confidently utilising learning-enabled components in safety-critical domains still poses challenges. Among the challenges, it is known that a rigorous, yet practical, way of achieving…

机器学习 · 计算机科学 2024-09-21 Saddek Bensalem , Chih-Hong Cheng , Wei Huang , Xiaowei Huang , Changshun Wu , Xingyu Zhao

In this paper, we compare several representative barrier-like conditions from the literature for infinite-horizon reach-avoid verification of stochastic discrete-time systems. Our comparison examines both their theoretical properties and…

系统与控制 · 电气工程与系统科学 2025-12-08 Zhipeng Cao , Peixin Wang , Luke Ong , Đorđe Žikelić , Dominik Wagner , Bai Xue

In this paper, we address the problem of safety verification of nonlinear hybrid systems. A hybrid symbolic-numeric method is presented to compute exact inequality invariants of hybrid systems efficiently. Some numerical invariants of a…

软件工程 · 计算机科学 2015-03-20 Zhengfeng Yang , Min Wu , Wang Lin

Component-based systems evolve as a new component is added or an existing one is replaced by a newer version. Hence, it is appealing to assure the new system still preserves its safety properties. However, instead of inspecting the new…

形式语言与自动机理论 · 计算机科学 2017-09-14 Rosa Abbasi , Fatemeh Ghassemi , Ramtin Khosravi

Modern safety-critical energy infrastructures are increasingly operated in a hierarchical and modular control framework which allows for limited data exchange between the modules. In this context, it is important for each module to…

系统与控制 · 电气工程与系统科学 2023-01-02 Jean-Baptiste Bouvier , Sai Pushpak Nandanoori , Melkior Ornik , Soumya Kundu

Control barrier functions (CBFs) provide an effective framework for enforcing safety in dynamical systems with scalar constraints. However, many safety constraints are more naturally expressed as matrix-valued conditions, such as positive…

最优化与控制 · 数学 2026-04-07 Samuel G. Gessow , Pio Ong , Aaron D. Ames , Brett T. Lopez