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We consider the verification of neural network policies for discrete-time stochastic systems with respect to reach-avoid specifications. We use a learner-verifier procedure that learns a certificate for the specification, represented as a…

Machine Learning · Computer Science 2025-07-21 Thom Badings , Wietze Koops , Sebastian Junges , Nils Jansen

Model-free Reinforcement Learning (RL) offers an attractive approach to learn control policies for high-dimensional systems, but its relatively poor sample complexity often forces training in simulated environments. Even in simulation,…

Robotics · Computer Science 2018-09-18 Boris Ivanovic , James Harrison , Apoorva Sharma , Mo Chen , Marco Pavone

Learning-based methods could provide solutions to many of the long-standing challenges in control. However, the neural networks (NNs) commonly used in modern learning approaches present substantial challenges for analyzing the resulting…

Machine Learning · Computer Science 2022-02-03 Michael Everett

This paper presents Verisig, a hybrid system approach to verifying safety properties of closed-loop systems using neural networks as controllers. Although techniques exist for verifying input/output properties of the neural network itself,…

Systems and Control · Computer Science 2018-11-06 Radoslav Ivanov , James Weimer , Rajeev Alur , George J. Pappas , Insup Lee

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

Simulation-based verification algorithms can provide formal safety guarantees for nonlinear and hybrid systems. The previous algorithms rely on user provided model annotations called discrepancy function, which are crucial for computing…

Systems and Control · Computer Science 2015-02-09 Chuchu Fan , Sayan Mitra

*Automated circuit discovery* is a central tool in mechanistic interpretability for identifying the internal components of neural networks responsible for specific behaviors. While prior methods have made significant progress, they…

Machine Learning · Computer Science 2026-02-20 Itamar Hadad , Guy Katz , Shahaf Bassan

The arising application of neural networks (NN) in robotic systems has driven the development of safety verification methods for neural network dynamical systems (NNDS). Recursive techniques for reachability analysis of dynamical systems in…

Systems and Control · Electrical Eng. & Systems 2022-10-25 Shaoru Chen , Victor M. Preciado , Mahyar Fazlyab

In multirotor systems, guaranteeing safety while considering unknown disturbances is essential for robust trajectory planning. The Forward reachable set (FRS), the set of feasible states subject to bounded disturbances, can be utilized to…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Juyeop Han , Han-Lim Choi

This letter proposes a novel sampled-data model predictive control framework for continuous control-affine nonlinear systems that provides rigorous reach-avoid and recursive feasibility guarantees under physical constraints. By propagating…

Optimization and Control · Mathematics 2026-04-07 Jianqiang Ding , Nishant Jayesh Bhave , Shankar A. Deka

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

Feedforward control is essential to achieving good tracking performance in positioning systems. The aim of this paper is to develop an identification strategy for inverse models of systems with nonlinear dynamics of unknown structure using…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Max van Meer , Maurice Poot , Jim Portegies , Tom Oomen

The design of algorithms that generate personalized ranked item lists is a central topic of research in the field of recommender systems. In the past few years, in particular, approaches based on deep learning (neural) techniques have…

Information Retrieval · Computer Science 2021-01-08 Maurizio Ferrari Dacrema , Simone Boglio , Paolo Cremonesi , Dietmar Jannach

Artificial neural networks have recently been utilized in many feedback control systems and introduced new challenges regarding the safety of such systems. This paper considers the safe verification problem for a dynamical system with a…

Optimization and Control · Mathematics 2023-01-25 Yuhao Zhang , Xiangru Xu

Feedforward neural networks are widely used in autonomous systems, particularly for control and perception tasks within the system loop. However, their vulnerability to adversarial attacks necessitates formal verification before deployment…

Optimization and Control · Mathematics 2025-09-03 Yuhao Zhang , Xiangru Xu

Neural networks (NN) have been successfully applied to approximate various types of complex control laws, resulting in low-complexity NN-based controllers that are fast to evaluate. However, when approximating control laws using NN,…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Dieter Teichrib , Moritz Schulze Darup

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

We study the problem of learning controllers for discrete-time non-linear stochastic dynamical systems with formal reach-avoid guarantees. This work presents the first method for providing formal reach-avoid guarantees, which combine and…

Machine Learning · Computer Science 2022-11-30 Đorđe Žikelić , Mathias Lechner , Thomas A. Henzinger , Krishnendu Chatterjee

Safety certification of data-driven control techniques remains a major open problem. This work investigates backward reachability as a framework for providing collision avoidance guarantees for systems controlled by neural network (NN)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Michael Everett , Rudy Bunel , Shayegan Omidshafiei

Neural network (NN) dynamics models and control policies achieve strong performance in robotics, but providing sound guarantees under uncertainty remains difficult, especially for closed-loop NN systems. Existing reachability tools provide…

Robotics · Computer Science 2026-05-26 Keyi Shen , Glen Chou