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Related papers: Safe Reach Set Computation via Neural Barrier Cert…

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This paper presents a scenario generation framework that creates diverse, parametrized, and safety-critical driving situations to validate the safety features of autonomous vehicles in simulation [15]. By modeling factors such as road…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Kiruthiga Chandra Shekar , Aliasghar Moj Arab

In this work, we analyze an efficient sampling-based algorithm for general-purpose reachability analysis, which remains a notoriously challenging problem with applications ranging from neural network verification to safety analysis of…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Thomas Lew , Lucas Janson , Riccardo Bonalli , Marco Pavone

Constrained reinforcement learning (CRL) has gained significant interest recently, since safety constraints satisfaction is critical for real-world problems. However, existing CRL methods constraining discounted cumulative costs generally…

Machine Learning · Computer Science 2022-06-08 Dongjie Yu , Haitong Ma , Shengbo Eben Li , Jianyu Chen

The next generation of aircraft collision avoidance systems frame the problem as a Markov decision process and use dynamic programming to optimize the alerting logic. The resulting system uses a large lookup table to determine advisories…

Systems and Control · Computer Science 2019-03-05 Kyle D. Julian , Shivam Sharma , Jean-Baptiste Jeannin , Mykel J. Kochenderfer

This paper studies finite-time safety and reach-avoid verification for stochastic discrete-time dynamical systems. The aim is to ascertain lower and upper bounds of the probability that, within a predefined finite-time horizon, a system…

Systems and Control · Electrical Eng. & Systems 2025-10-22 Bai Xue

While conventional (k=1) discrete-time barrier certificate conditions impose strict safety constraints by requiring the function to be non-increasing at every step, k-inductive barrier certificates relax this by allowing a temporary…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Ben Wooding , Hongchao Zhang , Taylor T. Johnson , Abolfazl Lavaei

In this paper, we consider the problem of formally verifying the safety of an autonomous robot equipped with a Neural Network (NN) controller that processes LiDAR images to produce control actions. Given a workspace that is characterized by…

Artificial Intelligence · Computer Science 2018-11-01 Xiaowu Sun , Haitham Khedr , Yasser Shoukry

Deep Neural Network-based systems are now the state-of-the-art in many robotics tasks, but their application in safety-critical domains remains dangerous without formal guarantees on network robustness. Small perturbations to sensor inputs…

Robotics · Computer Science 2020-03-10 Björn Lütjens , Michael Everett , Jonathan P. How

Safety filtering is an effective method for enforcing constraints in safety-critical systems, but existing methods typically assume perfect state information. This limitation is especially problematic for systems that rely on neural network…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Nicholas Rober , Alex Rose , Jonathan P. How

Estimating the uncertainty of a neural network plays a fundamental role in safety-critical settings. In perception for autonomous driving, measuring the uncertainty means providing additional calibrated information to downstream tasks, such…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Stefano Gasperini , Jan Haug , Mohammad-Ali Nikouei Mahani , Alvaro Marcos-Ramiro , Nassir Navab , Benjamin Busam , Federico Tombari

With the increasing prevalence of complex vision-based sensing methods for use in obstacle identification and state estimation, characterizing environment-dependent measurement errors has become a difficult and essential part of modern…

Risk assessment is a crucial component of collision warning and avoidance systems in intelligent vehicles. To accurately detect potential vehicle collisions, reachability-based formal approaches have been developed to ensure driving safety,…

Robotics · Computer Science 2023-06-02 Xinwei Wang , Zirui Li , Javier Alonso-Mora , Meng Wang

Safety-critical scenario generation is crucial for evaluating autonomous driving systems. However, existing approaches often struggle to balance three conflicting objectives: adversarial criticality, physical feasibility, and behavioral…

Robotics · Computer Science 2026-03-05 Jinlong Cui , Fenghua Liang , Guo Yang , Chengcheng Tang , Jianxun Cui

Neural networks are now extensively used in perception, prediction and control of autonomous systems. Their deployment in safety-critical systems brings forth the need for verification techniques for such networks. As an alternative to…

Artificial Intelligence · Computer Science 2021-04-27 Moumita Das , Rajarshi Ray , Swarup Kumar Mohalik , Ansuman Banerjee

Stealth attacks pose potential risks to cyber-physical systems because they are difficult to detect. Assessing the risk of systems under stealth attacks remains an open challenge, especially in nonlinear systems. To comprehensively quantify…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Guang Chen , Zhicong Sun , Yulong Ding , Shuang-hua Yang

This work proposes a robust data-driven predictive control approach for unknown nonlinear systems in the presence of bounded process and measurement noise. Data-driven reachable sets are employed for the controller design instead of using…

Systems and Control · Electrical Eng. & Systems 2023-07-18 Mahsa Farjadnia , Amr Alanwar , Muhammad Umar B. Niazi , Marco Molinari , Karl Henrik Johansson

We introduce an automated, formal, counterexample-based approach to synthesise Barrier Certificates (BC) for the safety verification of continuous and hybrid dynamical models. The approach is underpinned by an inductive framework: this is…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Andrea Peruffo , Daniele Ahmed , Alessandro Abate

In this work, we perform safety analysis of linear dynamical systems with uncertainties. Instead of computing a conservative overapproximation of the reachable set, our approach involves computing a statistical approximate reachable set. As…

Systems and Control · Electrical Eng. & Systems 2021-09-17 Bineet Ghosh , Parasara Sridhar Duggirala

Barrier certificates provide functional overapproximations for the reachable set of dynamical systems and provide inductive guarantees on the safe evolution of the system. In automata-theoretic verification, a key query is to determine…

Formal Languages and Automata Theory · Computer Science 2026-01-22 Vishnu Murali , Ashutosh Trivedi , Majid Zamani

Real-world autonomous vehicles often operate in a priori unknown environments. Since most of these systems are safety-critical, it is important to ensure they operate safely in the face of environment uncertainty, such as unseen obstacles.…

Robotics · Computer Science 2025-10-20 Andrea Bajcsy , Somil Bansal , Eli Bronstein , Varun Tolani , Claire J. Tomlin