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Hamilton-Jacobi (HJ) reachability analysis is a widely adopted verification tool to provide safety and performance guarantees for autonomous systems. However, it involves solving a partial differential equation (PDE) to compute a safety…

机器人学 · 计算机科学 2025-05-12 Aditya Singh , Zeyuan Feng , Somil Bansal

The set of answers to a query may be very large, potentially overwhelming users when presented with the entire set. In such cases, presenting only a small subset of the answers to the user may be preferable. A natural requirement for this…

数据库 · 计算机科学 2024-08-06 Marcelo Arenas , Timo Camillo Merkl , Reinhard Pichler , Cristian Riveros

The problem of computing the reachable set for a given system is a quintessential question in nonlinear control theory. While previous work has yielded a plethora of approximate and analytical methods for determining such a set, these…

最优化与控制 · 数学 2020-12-29 Melkior Ornik

In this paper we consider the reachability problem for bounded branching VASS. Bounded VASS are a variant of the classic VASS model where all values in all configurations are upper bounded by a fixed natural number, encoded in binary in the…

形式语言与自动机理论 · 计算机科学 2019-08-20 Filip Mazowiecki , Michał Pilipczuk

Assessment of the degree of boundedness/stability of multidimensional nonlinear systems with time-dependent and nonperiodic coefficients is an important problem in various applied areas which has no adequate resolution yet. Most of the…

动力系统 · 数学 2022-06-07 Mark A. Pinsky

We present JuliaReach, a toolbox for set-based reachability analysis of dynamical systems. JuliaReach consists of two main packages: Reachability, containing implementations of reachability algorithms for continuous and hybrid systems, and…

系统与控制 · 电气工程与系统科学 2024-12-20 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Kostiantyn Potomkin , Christian Schilling

On demand of efficient reachability analysis due to the inevitable complexity of large-scale biological models, this paper is dedicated to a novel approach: PermReach, for reachability problem of our new framework, Asynchronous Binary…

形式语言与自动机理论 · 计算机科学 2018-04-23 Xinwei Chai , Morgan Magnin , Olivier Roux

We build on recent research on polynomial randomized approximation (PRAX) algorithms for the hard problems of NFA universality and NFA equivalence. Loosely speaking, PRAX algorithms use sampling of infinite domains within any desired…

数据结构与算法 · 计算机科学 2024-03-14 Pantelis Andreou , Stavros Konstantinidis , Taylor J. Smith

Autonomous systems are increasingly implemented using end-to-end learning-based controllers. Such controllers make decisions that are executed on the real system, with images as one of the primary sensing modalities. Deep neural networks…

机器学习 · 计算机科学 2024-05-03 Yuang Geng , Jake Brandon Baldauf , Souradeep Dutta , Chao Huang , Ivan Ruchkin

The recent developments and research in distributed ledger technologies and blockchain have contributed to the increasing adoption of distributed systems. To collect relevant insights into systems' behavior, we observe many evaluation…

分布式、并行与集群计算 · 计算机科学 2023-10-27 Filip Rezabek , Kilian Glas , Richard von Seck , Achraf Aroua , Tizian Leonhardt , Georg Carle

The main objective of this article is to develop a matrix pencil approach for the study of the controllability and reachability of a class of linear singular discrete time systems. The description equation of a practical system may be…

最优化与控制 · 数学 2014-06-06 Charalambos P. Kontzalis , Grigoris Kalogeropoulos

While multi-joint continuum robots are highly dexterous and flexible, designing an optimal robot can be challenging due to its kinematics involving curvatures. Hence, the current work presents a computational method developed to find…

机器人学 · 计算机科学 2025-03-17 Hyunmin Cheong , Mehran Ebrahimi , Timothy Duggan

Determining the reachable set for a given nonlinear system is critically important for autonomous trajectory planning for reach-avoid applications and safety critical scenarios. Providing the reachable set is generally impossible when the…

系统与控制 · 电气工程与系统科学 2024-12-30 Taha Shafa , Melkior Ornik

With the development of deep learning (DL) techniques, rotating machinery intelligent diagnosis has gone through tremendous progress with verified success and the classification accuracies of many DL-based intelligent diagnosis algorithms…

信号处理 · 电气工程与系统科学 2020-08-20 Zhibin Zhao , Tianfu Li , Jingyao Wu , Chuang Sun , Shibin Wang , Ruqiang Yan , Xuefeng Chen

We propose a semi-decision procedure for checking generalized reachability properties, on generalized Petri nets, that is based on the Property Directed Reachability (PDR) method. We actually define three different versions, that vary…

计算机科学中的逻辑 · 计算机科学 2022-08-08 Nicolas Amat , Silvano Dal Zilio , Thomas Hujsa

Bounded model checking (BMC) is an effective technique for hunting bugs by incrementally exploring the state space of a system. To reason about infinite traces through a finite structure and to ultimately obtain completeness, BMC…

计算机科学中的逻辑 · 计算机科学 2023-01-31 Tzu-Han Hsu , César Sánchez , Sarai Sheinvald , Borzoo Bonakdarpour

In this paper, the reachability of dimension-bounded linear systems is investigated.Since state dimensions of dimension-bounded linear systems vary with time, the expression of state dimension at each time is provided.A method for judging…

系统与控制 · 电气工程与系统科学 2021-09-21 Yiliang Li , Haitao Li , Jun-e Feng , Jinjin Li

Deep neural networks (DNNs) have achieved remarkable performance across a wide range of applications, while they are vulnerable to adversarial examples, which motivates the evaluation and benchmark of model robustness. However, current…

计算机视觉与模式识别 · 计算机科学 2022-11-02 Jun Guo , Wei Bao , Jiakai Wang , Yuqing Ma , Xinghai Gao , Gang Xiao , Aishan Liu , Jian Dong , Xianglong Liu , Wenjun Wu

We investigate a variation of the art gallery problem in which a team of mobile guards tries to track an unpredictable intruder in a simply-connected polygonal environment. In this work, we use the deployment strategy for diagonal guards…

机器人学 · 计算机科学 2016-11-16 Guillermo J. Laguna , Rui Zou , Sourabh Bhattacharya

This paper presents optimizations to improve the scalability of reachability analysis on a subclass of hybrid automata extended with stochasticity. The optimizations target different components of the analysis, such as quantifier…

符号计算 · 计算机科学 2025-10-16 Jonas Stübbe , Anne Remke , Erika Ábrahám