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Related papers: Critical Observability for Automata and Petri Nets

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Computing the reachability probability in infinite state probabilistic models has been the topic of numerous works. Here we introduce a new property called \emph{divergence} that when satisfied allows to compute reachability probabilities…

Formal Languages and Automata Theory · Computer Science 2026-03-03 Alain Finkel , Serge Haddad , Lina Ye

In this paper, we propose a system-level approach for verifying the safety of neural network controlled systems, combining a continuous-time physical system with a discrete-time neural network based controller. We assume a generic model for…

Artificial Intelligence · Computer Science 2020-11-11 Arthur Clavière , Eric Asselin , Christophe Garion , Claire Pagetti

The tight coupling between communication and control in cyber-physical systems is necessary to enable the complex regulation required to operate these systems. Unfortunately, cyberattackers can exploit network vulnerabilities to compromise…

Systems and Control · Electrical Eng. & Systems 2025-07-25 Amr S. Mohamed , Mohsen Khalaf , Deepa Kundur

Computing steady-state distributions in infinite-state stochastic systems is in general a very dificult task. Product-form Petri nets are those Petri nets for which the steady-state distribution can be described as a natural product…

Performance · Computer Science 2017-08-22 Patricia Bouyer , Serge Haddad , Vincent Jugé

With the increasing complexity of power systems,accurately identifying critical states (the states corresponding to minimal cut sets) and assessing system reliability have become crucial tasks. In this paper, a mathematical lattice…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Han Hu , Wenjie Wan , Feiyu Chen , Xiaoyu Liu , Bo Yu , Kequan Zhao

Synthesis for a type $\tau$ of Petri nets is the following search problem: For a transition system $A$, find a Petri net $N$ of type $\tau$ whose state graph is isomorphic to $A$, if there is one. To determine the computational complexity…

Logic in Computer Science · Computer Science 2019-04-03 Ronny Tredup

We propose a method for checking generalized reachability properties in Petri nets that takes advantage of structural reductions and that can be used, transparently, as a pre-processing step of existing model-checkers. Our approach is based…

Logic in Computer Science · Computer Science 2024-01-09 Nicolas Amat , Silvano Dal Zilio , Didier Le Botlan

A dynamical network, a graph whose nodes are dynamical systems, is usually characterized by a large dimensional space which is not always accesible due to the impossibility of measuring all the variables spanning the state space. Therefore,…

Chaotic Dynamics · Physics 2019-07-25 Irene Sendiña-Nadal , Christophe Letellier

Business process monitoring approaches have thus far mainly focused on monitoring the execution of a process with respect to a single process model. However, in some cases it is necessary to consider multiple process specifications…

Artificial Intelligence · Computer Science 2021-11-29 Anti Alman , Fabrizio Maria Maggi , Marco Montali , Fabio Patrizi , Andrey Rivkin

Safe control techniques, such as Hamilton-Jacobi reachability, provide principled methods for synthesizing safety-preserving robot policies but typically assume hand-designed state spaces and full observability. Recent work has relaxed…

Robotics · Computer Science 2025-10-09 Matthew Kim , Kensuke Nakamura , Andrea Bajcsy

We study the LTL model-checking in possibilistic Kripke structure using possibility measure. First, the notion of possibilistic Kripke structure and the related possibility measure are introduced, then model-checking of reachability and…

Logic in Computer Science · Computer Science 2016-09-27 Yongming Li , Lijun Li

We consider the problem of determining the state of a quantum system given one or more readings of the expectation value of an observable. The system is assumed to be a finite dimensional quantum control system for which we can influence…

Quantum Physics · Physics 2009-11-10 Domenico D'Alessandro

In decentralized networked supervisory control of discrete-event systems (DESs), the local supervisors observe event occurrences subject to observation delays to make correct control decisions. Delay coobservability describes whether these…

Systems and Control · Electrical Eng. & Systems 2022-05-20 Yunfeng Hou , Qingdu Li , Yunfeng Ji , Gang Wang , Ching-Yen Weng

For a large Markovian model, a "product form" is an explicit description of the steady-state behaviour which is otherwise generally untractable. Being first introduced in queueing networks, it has been adapted to Markovian Petri nets. Here…

Discrete Mathematics · Computer Science 2012-04-17 Serge Haddad , Jean Mairesse , Hoang-Thach Nguyen

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

Opacity is a property that captures security concerns in cyber-physical systems and its verification plays a significant role. This paper investigates the verifications of K-step and infinite-step weak and strong opacity for partially…

Formal Languages and Automata Theory · Computer Science 2023-10-19 Xiaoyan Li , Christoforos N. Hadjicostis , Zhiwu Li

For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property is equivalent to exact null controllability. We…

Optimization and Control · Mathematics 2017-10-24 Rabah Rabah , Grigory Sklyar , Pavel Yu. Barkhayev , Pavel Barkhayev , Grzegorz Szkibiel

Structural controllability has been proposed as an analytical framework for making predictions regarding the control of complex networks across myriad disciplines in the physical and life sciences (Liu et al., Nature:473(7346):167-173,…

Physics and Society · Physics 2015-05-28 Noah J. Cowan , Erick J. Chastain , Daril A. Vilhena , James S. Freudenberg , Carl T. Bergstrom

Complex events originate from other primitive events combined according to defined patterns and rules. Instead of using specialists' manual work to compose the model rules, we use machine learning (ML) to self-define these patterns and…

Machine Learning · Computer Science 2024-11-05 Maria J. P. Peixoto , Akramul Azim

One-counter nets (OCN) are Petri nets with exactly one unbounded place. They are equivalent to a subclass of one-counter automata with only a weak test for zero. We show that weak simulation preorder is decidable for OCN and that weak…

Formal Languages and Automata Theory · Computer Science 2014-06-17 Piotr Hofman , Richard Mayr , Patrick Totzke