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Autonomous cyber-physical systems (CPS) rely on the correct operation of numerous components, with state-of-the-art methods relying on machine learning (ML) and artificial intelligence (AI) components in various stages of sensing and…

Systems and Control · Computer Science 2018-05-28 Weiming Xiang , Taylor T. Johnson

Neural networks offer a computationally efficient approximation of model predictive control, but they lack guarantees on the resulting controlled system's properties. Formal certification of neural networks is crucial for ensuring safety,…

Optimization and Control · Mathematics 2025-02-05 Philip Sosnin , Calvin Tsay

Autonomous systems, such as self-driving cars and drones, have made significant strides in recent years by leveraging visual inputs and machine learning for decision-making and control. Despite their impressive performance, these…

Robotics · Computer Science 2024-10-31 Kaustav Chakraborty , Aryaman Gupta , Somil Bansal

The expansion in automation of increasingly fast applications and low-power edge devices poses a particular challenge for optimization based control algorithms, like model predictive control. Our proposed machine-learning supported approach…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Hendrik Alsmeier , Anton Savchenko , Rolf Findeisen

Neural networks can be used as approximations of several complex control schemes such as model predictive control. We show in this paper which properties deep neural networks with rectifier linear units as activation functions need to…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Benjamin Karg , Sergio Lucia

In this work, we consider the problem of learning a feed-forward neural network controller to safely steer an arbitrarily shaped planar robot in a compact and obstacle-occluded workspace. Unlike existing methods that depend strongly on the…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Panagiotis Vlantis , Leila J. Bridgeman , Michael M. Zavlanos

Model Predictive Control (MPC) is an optimal control algorithm with strong stability and robustness guarantees. Despite its popularity in robotics and industrial applications, the main challenge in deploying MPC is its high computation…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Camilo Gonzalez , Houshyar Asadi , Lars Kooijman , Chee Peng Lim

Among the major challenges in neural control system technology is the validation and certification of the safety and robustness of neural network (NN) controllers against various uncertainties including unmodelled dynamics, nonlinearities,…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Abdelhafid Zenati , Nabil Aouf

Neural networks (NNs) are increasingly applied in safety-critical systems such as autonomous vehicles. However, they are fragile and are often ill-behaved. Consequently, their behaviors should undergo rigorous guarantees before deployment…

Machine Learning · Computer Science 2023-06-28 Zhen Liang , Dejin Ren , Bai Xue , Ji Wang , Wenjing Yang , Wanwei Liu

A wide range of verification methods have been proposed to verify the safety properties of deep neural networks ensuring that the networks function correctly in critical applications. However, many well-known verification tools still…

Software Engineering · Computer Science 2023-08-15 Yuyi Zhong , Ruiwei Wang , Siau-Cheng Khoo

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

This paper proposes a Recurrent Neural Network (RNN) controller for lane-keeping systems, effectively handling model uncertainties and disturbances. First, quadratic constraints cover the nonlinearities brought by the RNN controller, and…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Ying Shuai Quan , Jin Sung Kim , Chung Choo Chung

Deep neural networks are increasingly being used as controllers for safety-critical systems. Because neural networks are opaque, certifying their correctness is a significant challenge. To address this issue, several neural network…

Formal Languages and Automata Theory · Computer Science 2020-07-22 Yizhak Yisrael Elboher , Justin Gottschlich , Guy Katz

We study the problem of designing a controller that satisfies an arbitrary number of affine inequalities at every point in the state space. This is motivated by the fact that a variety of key control objectives, such as stability, safety,…

Optimization and Control · Mathematics 2026-04-20 Pol Mestres , Jorge Cortés , Eduardo D. Sontag

We show how machine-learning techniques, particularly neural networks, offer a very effective and highly efficient solution to the approximate model-checking problem for continuous and hybrid systems, a solution where the general-purpose…

Machine Learning · Computer Science 2017-12-07 Dung Phan , Radu Grosu , Nicola Paoletti , Scott A. Smolka , Scott D. Stoller

Neural network model compression techniques can address the computation issue of deep neural networks on embedded devices in industrial systems. The guaranteed output error computation problem for neural network compression with…

Machine Learning · Computer Science 2023-04-28 Wesley Cooke , Zihao Mo , Weiming Xiang

Neural network controllers (NNCs) have shown great promise in autonomous and cyber-physical systems. Despite the various verification approaches for neural networks, the safety analysis of NNCs remains an open problem. Existing verification…

Machine Learning · Computer Science 2023-01-31 Chi Zhang , Wenjie Ruan , Peipei Xu

The increasing prevalence of neural networks (NNs) in safety-critical applications calls for methods to certify their behavior and guarantee safety. This paper presents a backward reachability approach for safety verification of neural…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Nicholas Rober , Michael Everett , Jonathan P. How

In recent years, advanced model-based and data-driven control methods are unlocking the potential of complex robotics systems, and we can expect this trend to continue at an exponential rate in the near future. However, ensuring safety with…

Robotics · Computer Science 2024-08-29 Gianni Lunardi , Asia La Rocca , Matteo Saveriano , Andrea Del Prete

We consider the design of fast and reliable neural network (NN)-based approximations of traditional stabilizing controllers for linear systems with polytopic uncertainty, including control laws with variable structure and those based on a…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Filippo Fabiani , Paul J. Goulart