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Neural network (NN) controllers achieve strong empirical performance on nonlinear dynamical systems, yet deploying them in safety-critical settings requires robustness to disturbances and uncertainty. We present a method for jointly…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Neelay Junnarkar , Yasin Sonmez , Murat Arcak

Autonomous systems must sustain justified confidence in their correctness and safety across their operational lifecycle-from design and deployment through post-deployment evolution. Traditional assurance methods often separate…

Software Engineering · Computer Science 2025-11-20 Dhaminda B. Abeywickrama , Michael Fisher , Frederic Wheeler , Louise Dennis

The safety of mobile robots in dynamic environments is predicated on making sure that they do not collide with obstacles. In support of such safety arguments, we analyze and formally verify a series of increasingly powerful safety…

Systems and Control · Computer Science 2019-06-20 Stefan Mitsch , Khalil Ghorbal , David Vogelbacher , André Platzer

Neural networks can learn complex, non-convex functions, and it is challenging to guarantee their correct behavior in safety-critical contexts. Many approaches exist to find failures in networks (e.g., adversarial examples), but these…

To use neural networks in safety-critical settings it is paramount to provide assurances on their runtime operation. Recent work on ReLU networks has sought to verify whether inputs belonging to a bounded box can ever yield some undesirable…

Machine Learning · Computer Science 2021-06-22 Vicenc Rubies-Royo , Roberto Calandra , Dusan M. Stipanovic , Claire Tomlin

To provide safety guarantees for learning-based control systems, recent work has developed formal verification methods to apply after training ends. However, if the trained policy does not meet the specifications, or there is conservatism…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Puja Chaudhury , Alexander Estornell , Michael Everett

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…

Machine Learning · Computer Science 2022-02-03 Michael Everett , Bjorn Lutjens , Jonathan P. How

Deep neural networks (DNNs) are instrumental in realizing complex perception systems. As many of these applications are safety-critical by design, engineering rigor is required to ensure that the functional insufficiency of the DNN-based…

Machine Learning · Computer Science 2023-10-09 Chih-Hong Cheng , Michael Luttenberger , Rongjie Yan

Fault injections are increasingly used to attack/test secure applications. In this paper, we define formal models of runtime monitors that can detect fault injections that result in test inversion attacks and arbitrary jumps in the control…

Cryptography and Security · Computer Science 2019-09-23 Ali Kassem , Yliès Falcone

This paper presents a formal verification guided approach for a principled design and implementation of robust and resilient learning-enabled systems. We focus on learning-enabled state estimation systems (LE-SESs), which have been widely…

Robotics · Computer Science 2024-04-09 Wei Huang , Yifan Zhou , Gaojie Jin , Youcheng Sun , Jie Meng , Fan Zhang , Xiaowei Huang

Contraction metrics are crucial in control theory because they provide a powerful framework for analyzing stability, robustness, and convergence of various dynamical systems. However, identifying these metrics for complex nonlinear systems…

Optimization and Control · Mathematics 2025-04-25 Haoyu Li , Xiangru Zhong , Bin Hu , Huan Zhang

Dynamic formal verification is a key tool for providing ongoing confidence that a system is meeting its requirements while in use, especially when paired with static formal verification before the system is in use. This paper presents a…

Robotics · Computer Science 2021-05-26 Matt Luckcuck

The increased technological complexity and demand for software reliability require organizations to formally design and verify their safety-critical programs to minimize systematic failures. Formal methods are recommended by functional…

Software Engineering · Computer Science 2025-02-27 Ignacio D. Lopez-Miguel , Borja Fernández Adiego , Matias Salinas , Christine Betz

In modern robotics, addressing the lack of accurate state space information in real-world scenarios has led to a significant focus on utilizing visuomotor observation to provide safety assurances. Although supervised learning methods, such…

Robotics · Computer Science 2024-09-20 Manan Tayal , Aditya Singh , Pushpak Jagtap , Shishir Kolathaya

In this paper, we investigate the probabilistic formal verification of stochastic dynamical systems over continuous state spaces. Motivated by problems in state estimation and information-flow security, we introduce the notion of…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Bohan Cui , Jianing Zhao , Yu Chen , Alessandro Abate , Marta Kwiatkowska , Xiang Yin

The growing reliance on artificial intelligence in safety- and security-critical applications is raising concerns about the robustness of neural networks to erroneous or adversarial input. Certification is a methodology for ensuring model…

Machine Learning · Computer Science 2026-05-01 Anton Björklund , Mykola Zaitsev , Paolo Morettin , Marta Kwiatkowska

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

Control certificates based on barrier functions have been a powerful tool to generate probably safe control policies for dynamical systems. However, existing methods based on barrier certificates are normally for white-box systems with…

Machine Learning · Computer Science 2022-01-11 Zengyi Qin , Dawei Sun , Chuchu Fan

The Confidential Consortium Framework (CCF) is an open-source platform for developing trustworthy and reliable cloud applications. CCF powers Microsoft's Azure Confidential Ledger service and as such it is vital to build confidence in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-17 Heidi Howard , Markus A. Kuppe , Edward Ashton , Amaury Chamayou , Natacha Crooks

Neural networks achieve strong empirical performance, but robustness concerns still hinder deployment in safety-critical applications. Formal verification provides robustness guarantees, but current methods face a scalability-completeness…

Machine Learning · Computer Science 2026-02-06 Wenting Li , Saif R. Kazi , Russell Bent , Duo Zhou , Huan Zhang
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