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We propose a simple safety filter design for stochastic discrete-time systems based on piecewise affine probabilistic control barrier functions, providing an appealing balance between modeling flexibility and computational complexity. Exact…

Optimization and Control · Mathematics 2025-12-05 Matisse Teuwen , Mathijs Schuurmans , Panagiotis Patrinos

A predictive control barrier function (PCBF) based safety filter is a modular framework to verify safety of a control input by predicting a future trajectory. The approach relies on the solution of two optimization problems, first computing…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Alexandre Didier , Robin C. Jacobs , Jerome Sieber , Kim P. Wabersich , Melanie N. Zeilinger

This paper introduces an approach for synthesizing feasible safety indices to derive safe control laws under state-dependent control spaces. The problem, referred to as Safety Index Synthesis (SIS), is challenging because it requires the…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Rui Chen , Weiye Zhao , Changliu Liu

This paper presents a systematic method for synthesizing a Control Barrier Function (CBF) that encodes predictive information into a CBF. Unlike other methods, the synthesized CBF can account for changes and time-variations in the…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Adrian Wiltz , Dimos V. Dimarogonas

The advent of Large Language Models LLMs marks a milestone in Artificial Intelligence, altering how machines comprehend and generate human language. However, LLMs are vulnerable to malicious prompt injection attacks, where crafted inputs…

Computation and Language · Computer Science 2024-10-29 Sahasra Kokkula , Somanathan R , Nandavardhan R , Aashishkumar , G Divya

Complex control systems are often described in a layered fashion, represented as higher-order systems where the inputs appear after a chain of integrators. While Control Barrier Functions (CBFs) have proven to be powerful tools for…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Andrew J. Taylor , Pio Ong , Tamas G. Molnar , Aaron D. Ames

We introduce time-to-unsafe-sampling, a novel safety measure for generative models, defined as the number of generations required by a large language model (LLM) to trigger an unsafe (e.g., toxic) response. While providing a new dimension…

Machine Learning · Computer Science 2026-02-17 Hen Davidov , Shai Feldman , Gilad Freidkin , Yaniv Romano

Synthesising verifiably correct controllers for dynamical systems is crucial for safety-critical problems. To achieve this, it is important to account for uncertainty in a robust manner, while at the same time it is often of interest to…

Systems and Control · Electrical Eng. & Systems 2024-05-16 Luke Rickard , Alessandro Abate , Kostas Margellos

Flow-based generative models, such as diffusion models and flow matching models, have achieved remarkable success in learning complex data distributions. However, a critical gap remains for their deployment in safety-critical domains: the…

Machine Learning · Computer Science 2026-03-02 Darshan Gadginmath , Ahmed Allibhoy , Fabio Pasqualetti

In this paper, we establish a connection between model predictive control (MPC) techniques and Control Barrier Functions (CBFs). Recognizing the similarity between CBFs and Control Lyapunov Functions (CLFs), we propose a MPC formulation…

Optimization and Control · Mathematics 2025-07-03 Jingyi Huang , Han Wang , Kostas Margellos , Paul Goulart

This paper proposes a new framework to compute finite-horizon safety guarantees for discrete-time piece-wise affine systems with stochastic noise of unknown distributions. The approach is based on a novel approach to synthesise a stochastic…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Frederik Baymler Mathiesen , Licio Romao , Simeon C. Calvert , Alessandro Abate , Luca Laurenti

Despite great successes, model predictive control (MPC) relies on an accurate dynamical model and requires high onboard computational power, impeding its wider adoption in engineering systems, especially for nonlinear real-time systems with…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu

Safety in dynamical systems is commonly pursued using control barrier functions (CBFs) which enforce safety-constraints over the entire duration of a system's evolution. We propose a prescribed-time safety (PTSf) design which enforces…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Imoleayo Abel , Drew Steeves , Miroslav Krstic , Mrdjan Jankovic

Cyber-security garnered significant attention due to the increased dependency of individuals and organizations on the Internet and their concern about the security and privacy of their online activities. Several previous machine learning…

Cryptography and Security · Computer Science 2020-08-11 MohammadNoor Injadat , Abdallah Moubayed , Ali Bou Nassif , Abdallah Shami

Willems' fundamental lemma and system level synthesis both characterize a linear dynamic system by its input/output sequences. In this work, we extend the application of the fundamental lemma from deterministic to uncertain LTI systems and…

Systems and Control · Electrical Eng. & Systems 2021-03-11 Yinghao Lian , Colin N. Jones

As the complexity of control systems increases, safety becomes an increasingly important property since safety violations can damage the plant and put the system operator in danger. When the system dynamics are unknown, safety-critical…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Luyao Niu , Hongchao Zhang , Andrew Clark

In recent years, Machine Learning (ML) models have achieved remarkable success in various domains. However, these models also tend to demonstrate unsafe behaviors, precluding their deployment in safety-critical systems. To cope with this…

Logic in Computer Science · Computer Science 2025-02-17 Andoni Rodriguez , Guy Amir , Davide Corsi , Cesar Sanchez , Guy Katz

Safe control with guarantees generally requires the system model to be known. It is far more challenging to handle systems with uncertain parameters. In this paper, we propose a generic algorithm that can synthesize and verify safe…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Simin Liu , Kai S. Yun , John M. Dolan , Changliu Liu

Control Barrier Functions (CBFs) have proven to be an effective tool for performing safe control synthesis for nonlinear systems. However, guaranteeing safety in the presence of disturbances and input constraints for high relative degree…

Optimization and Control · Mathematics 2026-01-21 Luzia Knoedler , Oswin So , Ji Yin , Mitchell Black , Zachary Serlin , Panagiotis Tsiotras , Javier Alonso-Mora , Chuchu Fan

The need for control strategies that can address dynamic system uncertainty is becoming increasingly important. In this work, we propose a Model Predictive Control by quantifying the risk of failure in our system model. The proposed control…

Systems and Control · Electrical Eng. & Systems 2023-02-17 Mostafa Tavakkoli Anbarani , Efe C. Balta , Rômulo Meira-Góes , Ilya Kovalenko
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