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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

We introduce a compositional data-driven methodology with noisy data for designing fully-decentralized safety controllers applicable to large-scale interconnected networks, encompassing a vast number of subsystems with unknown mathematical…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Omid Akbarzadeh , Amy Nejati , Abolfazl Lavaei

Constraint-based causal discovery from limited data is a notoriously difficult challenge due to the many borderline independence test decisions. Several approaches to improve the reliability of the predictions by exploiting redundancy in…

Machine Learning · Computer Science 2017-01-27 Sara Magliacane , Tom Claassen , Joris M. Mooij

Solving nonlinear model predictive control problems in real time is still an important challenge despite of recent advances in computing hardware, optimization algorithms and tailored implementations. This challenge is even greater when…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Benjamin Karg , Teodoro Alamo , Sergio Lucia

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

This paper studies the problem of, given the structure of a linear-time invariant system and a set of possible inputs, finding the smallest subset of input vectors that ensures system's structural controllability. We refer to this problem…

Optimization and Control · Mathematics 2014-11-04 Sergio Pequito , Soummya Kar , A. Pedro Aguiar

Ensuring string stability is critical for the safety and efficiency of large-scale interconnected systems. Although learning-based controllers (e.g., those based on reinforcement learning) have demonstrated strong performance in complex…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Jingyuan Zhou , Haoze Wu , Haokun Yu , Kaidi Yang

This paper presents a new approach to design verified compositions of Neural Network (NN) controllers for autonomous systems with tasks captured by Linear Temporal Logic (LTL) formulas. Particularly, the LTL formula requires the system to…

Robotics · Computer Science 2022-09-14 Jun Wang , Samarth Kalluraya , Yiannis Kantaros

Deep neural networks have become widely used, obtaining remarkable results in domains such as computer vision, speech recognition, natural language processing, audio recognition, social network filtering, machine translation, and…

Neural and Evolutionary Computing · Computer Science 2020-02-03 Divya Gopinath , Guy Katz , Corina S. Pasareanu , Clark Barrett

In this paper, we present a novel information processing architecture for safe deep learning-based visual navigation of autonomous systems. The proposed information processing architecture is used to support a perceptual attention-based…

Robotics · Computer Science 2019-10-17 Keuntaek Lee , Gabriel Nakajima An , Viacheslav Zakharov , Evangelos A. Theodorou

Symbolic model checkers can construct proofs of properties over very complex models. However, the results reported by the tool when a proof succeeds do not generally provide much insight to the user. It is often useful for users to have…

Software Engineering · Computer Science 2016-08-01 Elaheh Ghassabani , Andrew Gacek , Michael W. Whalen

Closed-loop verification of cyber-physical systems with neural network controllers offers strong safety guarantees under certain assumptions. It is, however, difficult to determine whether these guarantees apply at run time because…

Logic in Computer Science · Computer Science 2022-05-09 Ivan Ruchkin , Matthew Cleaveland , Radoslav Ivanov , Pengyuan Lu , Taylor Carpenter , Oleg Sokolsky , Insup Lee

Model predictive control (MPC) achieves stability and constraint satisfaction for general nonlinear systems, but requires computationally expensive online optimization. This paper studies approximations of such MPC controllers via neural…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Henrik Hose , Johannes Köhler , Melanie N. Zeilinger , Sebastian Trimpe

Compositionality is one of the fundamental abilities of the human reasoning process, that allows to decompose a complex problem into simpler elements. Such property is crucial also for neural networks, especially when aiming for a more…

Machine Learning · Computer Science 2025-06-19 Luigi Quarantiello , Andrea Cossu , Vincenzo Lomonaco

Recent years have witnessed the rapid advancement of understanding the control mechanism of networked dynamical systems (NDSs), which are governed by components such as nodal dynamics and topology. This paper reveals that the critical…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Yushan Li , Jianping He , Dimos V. Dimarogonas

This work newly establishes the feasibility and practical value of a sum of squares (SOS)-based stability verification procedure for applied control problems utilizing neural-network-based controllers (NNCs). It successfully verifies…

Systems and Control · Electrical Eng. & Systems 2025-08-22 Alvaro Detailleur , Dalim Wahby , Guillaume Ducard , Christopher Onder

Neural networks have emerged as essential components in safety-critical applications -- these use cases demand complex, yet trustworthy computations. Binarized Neural Networks (BNNs) are a type of neural network where each neuron is…

Machine Learning · Computer Science 2025-07-08 Jiong Yang , Yong Kiam Tan , Mate Soos , Magnus O. Myreen , Kuldeep S. Meel

Full verification of learning-enabled cyber-physical systems (CPS) has long been intractable due to challenges including black-box components and complex real-world environments. Existing tools either provide formal guarantees for limited…

Logic in Computer Science · Computer Science 2025-11-05 Eric Vin , Kyle A. Miller , Inigo Incer , Sanjit A. Seshia , Daniel J. Fremont

The discovery of inductive invariants lies at the heart of static program verification. Presently, many automatic solutions to inductive invariant generation are inflexible, only applicable to certain classes of programs, or unpredictable.…

Software Engineering · Computer Science 2017-06-16 Adam Betts , Nathan Chong , Pantazis Deligiannis , Alastair F. Donaldson , Jeroen Ketema

Adversarial examples pose a security threat to many critical systems built on neural networks (such as face recognition systems, and self-driving cars). While many methods have been proposed to build robust models, how to build certifiably…

Machine Learning · Computer Science 2023-09-06 Ruihan Zhang , Peixin Zhang , Jun Sun