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We consider the decidability of state-to-state reachability in linear time-invariant control systems over discrete time. We analyse this problem with respect to the allowable control sets, which in general are assumed to be defined by…

Optimization and Control · Mathematics 2020-11-19 Nathanaël Fijalkow , Joël Ouaknine , Amaury Pouly , João Sousa-Pinto , James Worrell

The paper introduces and solves a structural controllability problem for continuum ensembles of linear time-invariant systems. All the individual linear systems of an ensemble are sparse, governed by the same sparsity pattern.…

Systems and Control · Electrical Eng. & Systems 2021-07-13 Xudong Chen

This paper investigates the robust uncertain two-level cooperative set covering problem (RUTLCSCP). Given two types of facilities, which are called y-facility and z-facility. The problem is to decide which facilities of both types to be…

Optimization and Control · Mathematics 2020-03-31 Shuxin Ding , Qi Zhang , Zhiming Yuan

Mobile devices gather the communication capabilities as no other gadget. Plus, they now comprise a wider set of applications while still maintaining reduced size and weight. They have started to include accessibility features that enable…

Human-Computer Interaction · Computer Science 2014-02-06 Hugo Nicolau , João Guerreiro , Tiago Guerreiro

It is well known that modal satisfiability is PSPACE-complete (Ladner 1977). However, the complexity may decrease if we restrict the set of propositional operators used. Note that there exist an infinite number of propositional operators,…

Computational Complexity · Computer Science 2008-12-18 Edith Hemaspaandra , Henning Schnoor , Ilka Schnoor

We consider the decidability of state-to-state reachability in linear time-invariant control systems over continuous time. We analyse this problem with respect to the allowable control sets, which are assumed to be the image under a linear…

Optimization and Control · Mathematics 2021-03-16 Mohan Dantam , Amaury Pouly

The reachability problem is a central decision problem for formal verification based on vector addition systems with states (VASS), which are equivalent to Petri nets and form one of the most studied and applied models of concurrency.…

Formal Languages and Automata Theory · Computer Science 2020-05-12 Wojciech Czerwiński , Sławomir Lasota , Ranko Lazić , Jérôme Leroux , Filip Mazowiecki

We consider the reachability relation of pushdown systems whose pushdown holds a Mazurkiewicz trace instead of just a word as in classical systems. Under two natural conditions on the transition structure of such systems, we prove that the…

Formal Languages and Automata Theory · Computer Science 2025-02-18 Chris Köcher , Dietrich Kuske

The recent advancement in research on distributed space systems that operate a large number of satellites as a single system urges the need for the investigation of satellite constellations. Communication constellations can be used to…

Space Physics · Physics 2025-03-18 Soobin Jeon , Sang-Young Park

In this paper we study reachability verification problems of stochastic discrete-time dynamical systems over the infinite time horizon. The reachability verification of interest in this paper is to certify specified lower and upper bounds…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Bai Xue

We investigate the complexity of the separation problem associated to classes of regular languages. For a class C, C-separation takes two regular languages as input and asks whether there exists a third language in C which includes the…

Formal Languages and Automata Theory · Computer Science 2018-10-23 Thomas Place , Marc Zeitoun

By using a selective filtration argument, we prove that the satisfiability problem of the unimodal logic of density is in $EXPTIME$. By using a tableau-like approach, we prove that the satisfiability problem of the bimodal logic of weak…

Logic in Computer Science · Computer Science 2025-07-16 Philippe Balbiani , Olivier Gasquet

Vector addition systems with states (VASS), also known as Petri nets, are a popular model of concurrent systems. Many problems from many areas reduce to the reachability problem for VASS, which consists of deciding whether a target…

Formal Languages and Automata Theory · Computer Science 2025-05-20 Roland Guttenberg , Wojciech Czerwiński , Sławomir Lasota

Powered by renewable energy sources, cellular communication systems usually have different wireless traffic loads and available resources over time. To match their traffics, it is beneficial for two neighboring systems to cooperate in…

Information Theory · Computer Science 2016-11-17 Yinghao Guo , Jie Xu , Lingjie Duan , Rui Zhang

In this paper we construct a subclass of the composite access structure introduced by Mart\'inez et al. based on schemes realizing the structure given by the set of codewords of minimal support of linear codes. This class enlarges the…

Information Theory · Computer Science 2012-11-26 Irene Márquez-Corbella , Edgar Martínez-Moro , Emilio Suárez-Canedo

This letter proposes a novel method for accelerating iterative detection for spatially coupled (SC) systems. An SC system is constructed by one-dimensional coupling of many subsystems, which are classified into training and propagation…

Information Theory · Computer Science 2016-11-18 Keigo Takeuchi

A continuous-aperture array (CAPA)-based integrated sensing and communications (ISAC) framework is proposed for both downlink and uplink scenarios. Within this framework, continuous operator-based signal models are employed to describe the…

Information Theory · Computer Science 2026-01-22 Boqun Zhao , Chongjun Ouyang , Xingqi Zhang , Hyundong Shin , Yuanwei Liu

Many topological and dynamical properties of complex networks are defined by assuming that most of the transport on the network flows along the shortest paths. However, there are different scenarios in which non-shortest paths are used to…

Physics and Society · Physics 2008-12-16 Ernesto Estrada , Naomichi Hatano

Cooperation is commonly found in ecological and social systems even when it apparently seems that individuals can benefit from selfish behavior. We investigate how cooperation emerges with the spatial prisoner's dilemma played in a class of…

Physics and Society · Physics 2024-11-22 Naoki Masuda , Kazuyuki Aihara

To reuse one or several existing systems in order to develop a complex system is a common practice in software engineering. This approach can be justified by the fact that it is often difficult for a single Information System (IS) to…

Software Engineering · Computer Science 2013-06-07 Mohamed Amroune , Pierre Jean Charrel , Nacereddine Zarour , Jean Michel Inglebert