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In this paper, we study the problem of non-blockingness verification by tapping into the basis reachability graph (BRG). Non-blockingness is a property that ensures that all pre-specified tasks can be completed, which is a mandatory…

Systems and Control · Electrical Eng. & Systems 2021-06-15 Chao Gu , Ziyue Ma , Zhiwu Li , Alessandro Giua

In this paper, the problem of state and input constrained control is addressed, with multidimensional constraints. We obtain a local description of the boundary of the admissible subset of the state space where the state and input…

Optimization and Control · Mathematics 2013-09-11 José A. De Doná , Jean Lévine

We define a game on distributed Petri nets, where several players interact with each other, and with an environment. The players, or users, have perfect knowledge of the current state, and pursue a common goal. Such goal is expressed by…

Multiagent Systems · Computer Science 2021-07-15 Federica Adobbati , Luca Bernardinello , Lucia Pomello

Petri Nets (PN) are a central, theoretically sound model for concurrent or distributed systems but, at least in their classical definition, not expressive enough to represent dynamic reconfiguration capabilities. On the other side,…

Logic in Computer Science · Computer Science 2021-11-17 Lorenzo Capra

An abelian network is a collection of communicating automata whose state transitions and message passing each satisfy a local commutativity condition. This paper is a continuation of the abelian networks series of Bond and Levine (2016),…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Swee Hong Chan , Lionel Levine

We survey 25 years of research on decidability issues for Petri nets. We collect results on the decidability of important properties, equivalence notions, and temporal logics.

Formal Languages and Automata Theory · Computer Science 2024-11-05 Javier Esparza , Mogens Nielsen

It is well known that the complex system operation requires the use of new scientific tools and computer simulation. This paper presents a modular approach for modeling and analysis of the complex systems (in communication or transport…

Systems and Control · Computer Science 2017-03-22 Janetta Culita , Simona Caramihai , Calin Munteanu

We consider the problem of making a set of states invariant for a network of controlled systems. We assume that the subsystems, initially uncoupled, must be interconnected through controllers to be designed with a constraint on the data…

Optimization and Control · Mathematics 2014-09-23 Christoph Kawan , Jean-Charles Delvenne

In order to speed up the synthesis of Petri nets from labelled transition systems, a divide and conquer strategy consists in defining decompositions of labelled transition systems, such that each component is synthesisable iff so is the…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers

Practical wireless networks are finite, and hence non-stationary with nodes typically non-homo-geneously deployed over the area. This leads to a location-dependent performance and to boundary effects which are both often neglected in…

Information Theory · Computer Science 2014-01-03 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral

This paper exploits extended Bayesian networks for uncertainty reasoning on Petri nets, where firing of transitions is probabilistic. In particular, Bayesian networks are used as symbolic representations of probability distributions,…

Artificial Intelligence · Computer Science 2020-10-01 Rebecca Bernemann , Benjamin Cabrera , Reiko Heckel , Barbara König

This paper proposes an adaptive tracking control with prescribed performance function for distributive cooperative control of highly nonlinear multi-agent systems. The use of such approach confines the tracking error within a large…

Optimization and Control · Mathematics 2018-10-30 Hashim A. Hashim , Sami El-Ferik , Frank L. Lewis

Petri net synthesis consists in deciding for a given transition system $A$ whether there exists a Petri net $N$ whose reachability graph is isomorphic to $A$. Several works examined the synthesis of Petri net subclasses that restrict, for…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers , Ronny Tredup

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

We extend the notion of estimation entropy of autonomous dynamical systems proposed by Liberzon and Mitra [1] to nonlinear dynamical systems with uncertain inputs with bounded variation. We call this new notion the {$\epsilon$}-estimation…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Hussein Sibai , Sayan Mitra

Session types are behavioural types for guaranteeing that concurrent programs are free from basic communication errors. Recent work has shown that asynchronous session subtyping is undecidable. However, since session types have become…

Programming Languages · Computer Science 2018-02-13 Mario Bravetti , Marco Carbone , Gianluigi Zavattaro

A capacity bounded grammar is a grammar whose derivations are restricted by assigning a bound to the number of every nonterminal symbol in the sentential forms. In the paper the generative power and closure properties of capacity bounded…

Formal Languages and Automata Theory · Computer Science 2009-07-30 Ralf Stiebe , Sherzod Turaev

Detectability describes the property of a system to uniquely determine, after a finite number of observations, the current and subsequent states. In this paper, to reduce the complexity of checking the detectability properties in the…

Systems and Control · Electrical Eng. & Systems 2019-08-27 Hao Lan , Yin Tong , Jin Guo , Carla Seatzu

Compositionality and process equivalence are both standard concepts of process algebra. Compositionality means that the behaviour of a compound system relies only on the behaviour of its components, i.e. there is no emergent behaviour.…

Logic in Computer Science · Computer Science 2016-03-04 Paweł Sobociński

We investigate the decidability of termination, reachability, coverability and deadlock-freeness of Petri nets endowed with a hierarchy on places, and with inhibitor arcs, reset arcs and transfer arcs that respect this hierarchy. We also…

Logic in Computer Science · Computer Science 2017-07-06 S. Akshay , Supratik Chakraborty , Ankush Das , Vishal Jagannath , Sai Sandeep
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