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Deep neural networks can be trained to be efficient and effective controllers for dynamical systems; however, the mechanics of deep neural networks are complex and difficult to guarantee. This work presents a general approach for providing…

Systems and Control · Computer Science 2019-06-05 Kyle D. Julian , Mykel J. Kochenderfer

The deployment of multimodal models in high-stakes domains, such as self-driving vehicles and medical diagnostics, demands not only strong predictive performance but also reliable mechanisms for detecting failures. In this work, we address…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Moru Liu , Hao Dong , Olga Fink , Mario Trapp

Ensuring the safety of reinforcement learning (RL) policies in high-stakes environments requires not only formal verification but also interpretability and targeted falsification. While model checking provides formal guarantees, its…

Artificial Intelligence · Computer Science 2025-06-05 Tuan Le , Risal Shefin , Debashis Gupta , Thai Le , Sarra Alqahtani

In this work, the reachable set estimation and safety verification problems for a class of piecewise linear systems equipped with neural network controllers are addressed. The neural network is considered to consist of Rectified Linear Unit…

Systems and Control · Computer Science 2018-02-21 Weiming Xiang , Hoang-Dung Tran , Joel A. Rosenfeld , Taylor T. Johnson

Recently there have been a lot of interests in introducing UAVs for a wide range of applications, making ensuring safety of multi-vehicle systems a highly crucial problem. Hamilton-Jacobi (HJ) reachability is a promising tool for analyzing…

Robotics · Computer Science 2021-08-06 Jennifer C. Shih , Laurent El Ghaoui

With the rapid development of Connected and Automated Vehicle (CAV) technology, limited self-driving vehicles have been commercially available in certain leading intelligent transportation system countries. When formulating the…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Dianchao Lin , Li Li

We present a method that allows efficient and safe approximation of model predictive controllers using kernel interpolation. Since the computational complexity of the approximating function scales linearly with the number of data points, we…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Alexander Rose , Philipp Schaub , Rolf Findeisen

Imitation learning (IL) has shown great success in learning complex robot manipulation tasks. However, there remains a need for practical safety methods to justify widespread deployment. In particular, it is important to certify that a…

We study the typical case properties of the 1-in-3 satisfiability problem, the boolean satisfaction problem where a clause is satisfied by exactly one literal, in an enlarged random ensemble parametrized by average connectivity and…

Statistical Mechanics · Physics 2011-11-09 Jack Raymond , Andrea Sportiello , Lenka Zdeborová

Safety assurance is a critical yet challenging aspect when developing self-driving technologies. Hamilton-Jacobi backward-reachability analysis is a formal verification tool for verifying the safety of dynamic systems in the presence of…

Robotics · Computer Science 2021-06-08 Ran Tian , Anjian Li , Masayoshi Tomizuka , Liting Sun

We present a Satisfiability (SAT)-based approach for building Mixed Covering Arrays with Constraints of minimum length, referred to as the Covering Array Number problem. This problem is central in Combinatorial Testing for the detection of…

Artificial Intelligence · Computer Science 2021-05-27 Carlos Ansótegui , Felip Manyà , Jesus Ojeda , Josep M. Salvia , Eduard Torres

Integrating an automated driving software stack into vehicles with variable configuration is challenging, especially due to different hardware characteristics. Further, to provide software updates to a vehicle fleet in the field, the…

Systems and Control · Electrical Eng. & Systems 2025-02-03 Vladislav Nenchev

The safety of infinite state systems can be checked by a backward reachability procedure. For certain classes of systems, it is possible to prove the termination of the procedure and hence conclude the decidability of the safety problem.…

Logic in Computer Science · Computer Science 2015-07-01 Silvio Ghilardi , Silvio Ranise

Challenges related to automated driving are no longer focused on just the construction of such automated vehicles (AVs), but in assuring the safety of their operation. Recent advances in Level 3 and Level 4 autonomous driving have motivated…

Systems and Control · Electrical Eng. & Systems 2022-05-09 Tong Zhao , Ekim Yurtsever , Joel Paulson , Giorgio Rizzoni

Forward reachability analysis is a dominant approach for verifying reach-avoid specifications in neural feedback systems, i.e., dynamical systems controlled by neural networks, and a number of directions have been proposed and studied. In…

Artificial Intelligence · Computer Science 2026-03-24 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

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…

Systems and Control · Electrical Eng. & Systems 2024-03-18 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

Trajectory planning is challenging for autonomous cars since they operate in unpredictable environments with limited sensor horizons. To incorporate new information as it is sensed, planning is done in a loop, with the next plan being…

Systems and Control · Computer Science 2019-02-07 Sean Vaskov , Utkarsh Sharma , Shreyas Kousik , Matthew Johnson-Roberson , Ramanarayan Vasudevan

The complexity of software in embedded systems has increased significantly over the last years so that software verification now plays an important role in ensuring the overall product quality. In this context, SAT-based bounded model…

Software Engineering · Computer Science 2009-11-20 Lucas Cordeiro , Bernd Fischer , Joao Marques-Silva

Hamilton-Jacobi (HJ) reachability analysis is a widely adopted verification tool to provide safety and performance guarantees for autonomous systems. However, it involves solving a partial differential equation (PDE) to compute a safety…

Robotics · Computer Science 2025-05-12 Aditya Singh , Zeyuan Feng , Somil Bansal

In this paper, we describe a novel approach for checking safety specifications of a dynamical system with exogenous inputs over infinite time horizon that is guaranteed to terminate in finite time with a conclusive answer. We introduce the…

Optimization and Control · Mathematics 2008-01-04 Amit Bhatia , Emilio Frazzoli
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