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Formal Methods are mathematically-based techniques for software design and engineering, which enable the unambiguous description of and reasoning about a system's behaviour. Autonomous systems use software to make decisions without human…

Software Engineering · Computer Science 2021-07-29 Matt Luckcuck

We study the problem of statistically certifying viable initial sets (VISs) -- sets of initial conditions whose trajectories satisfy a given control specification. While VISs can be obtained from model-based methods, these methods typically…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Elizabeth Dietrich , Hanna Krasowski , Vegard Flovik , Murat Arcak

Self-testing refers to the fact that, in some quantum devices, both states and measurements can be assessed in a black-box scenario, on the sole basis of the observed statistics, i.e. without reference to any prior device calibration. Only…

Design and control of autonomous systems that operate in uncertain or adversarial environments can be facilitated by formal modelling and analysis. Probabilistic model checking is a technique to automatically verify, for a given temporal…

Logic in Computer Science · Computer Science 2021-11-23 Marta Kwiatkowska , Gethin Norman , David Parker

This paper proposes a constructive approach to safety control of nonlinear cascade systems subject to multiple state constraints. New design ingredients include a unified characterization of safety and stability for systematic designs of…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Si Wu , Tengfei Liu , Zhong-Ping Jiang

The paper proposes a control-theoretic framework for verification of numerical software systems, and puts forward software verification as an important application of control and systems theory. The idea is to transfer Lyapunov functions…

Systems and Control · Computer Science 2011-08-02 Mardavij Roozbehani , Alexandre Megretski , Eric Feron

Testing of autonomous systems is extremely important as many of them are both safety-critical and security-critical. The architecture and mechanism of such systems are fundamentally different from traditional control software, which appears…

Software Engineering · Computer Science 2021-03-15 Qunying Song , Emelie Engström , Per Runeson

This paper studies satisfying temporal logic specifications on stochastic dynamical systems, where the predicates evolve randomly over time. Such randomness may arise from uncertain environment models or external stochastic processes…

Optimization and Control · Mathematics 2026-05-12 Mohammad H. Mamduhi , Sadegh Soudjani

In the realm of autonomous driving, the development and integration of highly complex and heterogeneous systems are standard practice. Modern vehicles are not monolithic systems; instead, they are composed of diverse hardware components,…

Software Engineering · Computer Science 2024-11-25 Paolo Burgio , Angelo Ferrando , Marco Villani

The paper proposes a control-theoretic framework for verification of numerical software systems, and puts forward software verification as an important application of control and systems theory. The idea is to transfer Lyapunov functions…

Systems and Control · Computer Science 2011-08-30 Mardavij Roozbehani , Alexandre Megretski , Eric Feron

Control Barrier Functions (CBFs) have become a popular tool for enforcing set invariance in safety-critical control systems. While guaranteeing safety, most CBF approaches are myopic in the sense that they solve an optimization problem at…

Systems and Control · Electrical Eng. & Systems 2020-08-11 Max Cohen , Calin Belta

This article proposes a test procedure that can be used to test ML models and ML-based systems independently of the actual training process. In this way, the typical quality statements such as accuracy and precision of these models and…

Machine Learning · Computer Science 2024-06-21 Hans-Werner Wiesbrock , Jürgen Großmann

Model checking is an established technique to formally verify automation systems which are required to be trusted. However, for sufficiently complex systems model checking becomes computationally infeasible. On the other hand, testing,…

Software Engineering · Computer Science 2019-07-30 Igor Buzhinsky , Valeriy Vyatkin

Autonomous systems use independent decision-making with only limited human intervention to accomplish goals in complex and unpredictable environments. As the autonomy technologies that underpin them continue to advance, these systems will…

It is important to have multi-agent robotic system specifications that ensure correctness properties of safety and liveness. As these systems have concurrency, and often have dynamic environment, the formal specification and verification of…

Software Engineering · Computer Science 2016-04-20 Nadeem Akhtar , Malik M. Saad Missen

This paper addresses the problem of computing controllers that are correct by design for safety-critical systems and can provably satisfy (complex) functional requirements. We develop new methods for models of systems subject to both…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

Rigorous Verification and Validation (V&V) of Autonomous Driving Functions (ADFs) is paramount for ensuring the safety and public acceptance of Autonomous Vehicles (AVs). Current validation relies heavily on simulation to achieve sufficient…

We present a new approach to automated scenario-based testing of the safety of autonomous vehicles, especially those using advanced artificial intelligence-based components, spanning both simulation-based evaluation as well as testing in…

Systems and Control · Electrical Eng. & Systems 2020-07-14 Daniel J. Fremont , Edward Kim , Yash Vardhan Pant , Sanjit A. Seshia , Atul Acharya , Xantha Bruso , Paul Wells , Steve Lemke , Qiang Lu , Shalin Mehta

Nonlinear, adaptive, or otherwise complex control techniques are increasingly relied upon to ensure the safety of systems operating in uncertain environments. However, the nonlinearity of the resulting closed-loop system complicates…

Systems and Control · Computer Science 2018-01-17 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

We analyze safety problems of complex systems using the methods of mathematical statistics for testing the output variables of a code simulating the operation of the system under consideration when the input variables are uncertain. We have…

Data Analysis, Statistics and Probability · Physics 2007-05-23 L. Pal , M. Makai
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