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In this paper we study possibilities of using hierarchical reasoning, symbol elimination and model generation for the verification of parametric systems, where the parameters can be constants or functions. Our goal is to automatically…

Logic in Computer Science · Computer Science 2019-10-14 Viorica Sofronie-Stokkermans

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

Control systems operating in the real world face countless sources of unpredictable uncertainties. These random disturbances can render deterministic guarantees inapplicable and cause catastrophic safety failures. To overcome this, this…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Pol Mestres , Blake Werner , Ryan K. Cosner , Aaron D. Ames

We study the safety verification problem for a class of distributed parameter systems described by partial differential equations (PDEs), i.e., the problem of checking whether the solutions of the PDE satisfy a set of constraints at a…

Optimization and Control · Mathematics 2017-08-11 Mohamadreza Ahmadi , Giorgio Valmorbida , Antonis Papachristodoulou

Diagnosability is a system theoretical property characterizing whether fault occurrences in a system can always be detected within a finite time. In this paper, we investigate the verification of diagnosability for cyber-physical systems…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Bingzhuo Zhong , Weijie Dong , Xiang Yin , Majid Zamani

An important tool for proving safety of dynamical systems is the notion of a barrier certificate. In this paper we prove that every robustly safe ordinary differential equation has a barrier certificate. Moreover, we show a construction of…

Systems and Control · Computer Science 2018-08-02 Stefan Ratschan

Estimating the distribution over failures is a key step in validating autonomous systems. Existing approaches focus on finding failures for a small range of initial conditions or make restrictive assumptions about the properties of the…

Robotics · Computer Science 2023-05-18 Harrison Delecki , Anthony Corso , Mykel J. Kochenderfer

In this work, we consider the problem of designing a safety filter for a nonlinear uncertain control system. Our goal is to augment an arbitrary controller with a safety filter such that the overall closed-loop system is guaranteed to stay…

Robotics · Computer Science 2022-04-11 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

This paper presents a novel approach for augmenting proof-based verification with performance-style analysis of the kind employed in state-of-the-art model checking tools for probabilistic systems. Quantitative safety properties usually…

Logic in Computer Science · Computer Science 2009-12-11 Ukachukwu Ndukwu

We introduce a novel simulation-based approach to identify hazards that result from unexpected worker behavior in human-robot collaboration. Simulation-based safety testing must take into account the fact that human behavior is variable and…

Robotics · Computer Science 2021-11-30 Tom P. Huck , Christoph Ledermann , Torsten Kröger

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

This paper addresses the challenge of integrating explicit hard constraints into the control barrier function (CBF) framework for ensuring safety in autonomous systems, including robots. We propose a novel data-driven method to derive CBFs…

Robotics · Computer Science 2023-12-14 Jaemin Lee , Jeeseop Kim , Aaron D. Ames

Testing is essential for verifying and validating control designs, especially in safety-critical applications. In particular, the control system governing an automated driving vehicle must be proven reliable enough for its acceptance on the…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Mengjia Zhu , Alberto Bemporad , Maximilian Kneissl , Hasan Esen

Safety of stochastic dynamic systems in environments with dynamic obstacles is studied in this paper through the lens of stochastic barrier functions. We introduce both time-invariant and time-varying barrier certificates for discrete-time,…

Robotics · Computer Science 2026-04-23 Rayan Mazouz , Luca Laurenti , Morteza Lahijanian

We present a novel technique for online safety verification of autonomous systems, which performs reachability analysis efficiently for both bounded and unbounded horizons by employing neural barrier certificates. Our approach uses barrier…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Alessandro Abate , Sergiy Bogomolov , Alec Edwards , Kostiantyn Potomkin , Sadegh Soudjani , Paolo Zuliani

We consider the parameterized verification problem for distributed algorithms where the goal is to develop techniques to prove the correctness of a given algorithm regardless of the number of participating processes. Motivated by an…

Formal Languages and Automata Theory · Computer Science 2022-04-26 Nathalie Bertrand , Nicolas Markey , Ocan Sankur , Nicolas Waldburger

This paper introduces a method of identifying a maximal set of safe strategies from data for stochastic systems with unknown dynamics using barrier certificates. The first step is learning the dynamics of the system via Gaussian process…

Machine Learning · Computer Science 2024-05-07 Rayan Mazouz , John Skovbekk , Frederik Baymler Mathiesen , Eric Frew , Luca Laurenti , Morteza Lahijanian

We consider the problem of safety verification and safety-aware controller synthesis for systems with sector bounded nonlinearities. We aim to keep the states of the system within a given safe set under potential actuator and sensor…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Yankai Lin , Michelle S. Chong , Carlos Murguia

This paper studies the problem of safe control of sampled-data systems under bounded disturbance and measurement errors with piecewise-constant controllers. To achieve this, we first propose the High-Order Doubly Robust Control Barrier…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Pradeep Sharma Oruganti , Parinaz Naghizadeh , Qadeer Ahmed

We present a simulation-based approach for generating barrier certificate functions for safety verification of cyber-physical systems (CPS) that contain neural network-based controllers. A linear programming solver is utilized to find a…

Systems and Control · Computer Science 2018-04-12 Cumhur Erkan Tuncali , James Kapinski , Hisahiro Ito , Jyotirmoy V. Deshmukh