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This paper considers the fixed-time control problem of a multi-agent system composed of a class of Euler-Lagrange dynamics with parametric uncertainty and a dynamic leader under a directed communication network. A distributed fixed-time…

Optimization and Control · Mathematics 2022-02-17 Yi Dong , Zhiyong Chen

In dynamic systems that adapt to users' needs and changing environments, dependability needs cannot be avoided. This paper proposes an orthogonal fault tolerance model as a means to manage and reason about multiple fault tolerance…

Software Engineering · Computer Science 2014-04-29 Sobia K Khan

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

Adaptation and Self-Organizing Systems · Physics 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, our algorithm is defined in the atomic-state model and works…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Stéphane Devismes , David Ilcinkas , Colette Johnen , Frédéric Mazoit

Time synchronization is a critical task in robotic computing such as autonomous driving. In the past few years, as we developed advanced robotic applications, our synchronization system has evolved as well. In this paper, we first introduce…

Robotics · Computer Science 2021-03-31 Shaoshan Liu , Bo Yu , Yahui Liu , Kunai Zhang , Yisong Qiao , Thomas Yuang Li , Jie Tang , Yuhao Zhu

Structural symmetries of linear dynamical systems can be exploited for decoupling the dynamics and reducing the computational complexity of the controller implementation. However, in practical applications, inexact structural symmetries…

Systems and Control · Electrical Eng. & Systems 2023-07-03 Idris Kempf , Paul Goulart , Stephen Duncan

Synchronization is the major obstacle to scalability in distributed computing. Concurrent operations on the shared data engage in synchronization when they encounter a \emph{conflict}, i.e., their effects depend on the order in which they…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-17 Petr Kuznetsov , Nathan Josia Schrodt

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in an arbitrary network. Using the known exact threshold value from the theory of differential equations with delays, we provide the…

Statistical Mechanics · Physics 2015-03-17 D. Hunt , G. Korniss , B. K. Szymanski

The first generic self-stabilizing transformer for local problems in a constrained bandwidth model is introduced. This transformer can be applied to a wide class of locally checkable labeling (LCL) problems, converting a given fault free…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-09 Shimon Bitton , Yuval Emek , Taisuke Izumi , Shay Kutten

Numerous distributed applications, such as cloud computing and distributed ledgers, necessitate the system to invoke asynchronous consensus objects an unbounded number of times, where the completion of one consensus instance is followed by…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-28 Chryssis Georgiou , Michel Raynal , Elad M. Schiller

For spiking neural networks we consider the stability problem of global synchrony, arguably the simplest non-trivial collective dynamics in such networks. We find that even this simplest dynamical problem -- local stability of synchrony --…

Dynamical Systems · Mathematics 2009-11-13 Marc Timme , Fred Wolf

Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been…

Quantum Physics · Physics 2022-03-23 Berislav Buca , Cameron Booker , Dieter Jaksch

The main focus of recent time synchronization research is developing power-efficient synchronization methods that meet pre-defined accuracy requirements. However, an aspect that has been often overlooked is the high dynamics of the network…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-29 Kasım Sinan Yıldırım , Önder Gürcan

The problem of synchronization over a group $\mathcal{G}$ aims to estimate a collection of group elements $G^*_1, \dots, G^*_n \in \mathcal{G}$ based on noisy observations of a subset of all pairwise ratios of the form $G^*_i {G^*_j}^{-1}$.…

Optimization and Control · Mathematics 2023-06-19 Huikang Liu , Man-Chung Yue , Anthony Man-Cho So

Self-stabilization is a versatile technique to withstand any transient fault in a distributed system. Mobile robots (or agents) are one of the emerging trends in distributed computing as they mimic autonomous biologic entities. The…

Data Structures and Algorithms · Computer Science 2009-09-29 Lélia Blin , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

We present an algorithm for a fault tolerant Depth First Search (DFS) Tree in an undirected graph. This algorithm is drastically simpler than the current state-of-the-art algorithms for this problem, uses optimal space and optimal…

Data Structures and Algorithms · Computer Science 2019-03-28 Surender Baswana , Shiv Kumar Gupta , Ayush Tulsyan

This work presents a decentralized time synchronization algorithm for multi-agent systems. Each agent possesses two clocks, a hardware clock that is perturbed by environmental phenomena (e.g., temperature, humidity, pressure, g forces,…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Federico M. Zegers , Sean Phillips

Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

Laboratory investigations have shown that a formal theory of fault-tolerance will be essential to harness nanoscale self-assembly as a medium of computation. Several researchers have voiced an intuition that self-assembly phenomena are…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-20 Aaron Sterling

We study the problem of monitoring distributed systems where computers communicate using message passing and share an almost synchronized clock. This is a realistic scenario for networks where the speed of the monitoring is sufficiently…

Logic in Computer Science · Computer Science 2023-02-06 Luis Miguel Danielsson , César Sánchez
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