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The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

Physics and Society · Physics 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

The paper is concerned with asymptotic stability properties of linear switched systems. Under the hypothesis that all the subsystems share a non strict quadratic Lyapunov function, we provide a large class of switching signals for which a…

Optimization and Control · Mathematics 2012-10-09 Moussa Balde , Philippe Jouan

We give fast, simple, and implementable catalytic logspace algorithms for two fundamental graph problems. First, a randomized catalytic algorithm for $s\to t$ connectivity running in $\widetilde{O}(nm)$ time, and a deterministic catalytic…

Data Structures and Algorithms · Computer Science 2025-09-09 James Cook , Edward Pyne

Self-stabilization is a versatile methodology in the design of fault-tolerant distributed algorithms for transient faults. A self-stabilizing system automatically recovers from any kind and any finite number of transient faults. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-07 Hirotsugu Kakugawa , Sayaka Kamei , Masahiro Shibata , Fukuhito Ooshita

We consider the distributed weight balancing problem in networks of nodes that are interconnected via directed edges, each of which is able to admit a positive integer weight within a certain interval, captured by individual lower and upper…

Systems and Control · Electrical Eng. & Systems 2019-07-10 Apostolos I. Rikos , Christoforos N. Hadjicostis

We investigate the stabilizability of discrete-time linear switched systems, when the sole control action of the controller is the switching signal, and when the controller has access to the state of the system in real time. Despite their…

Optimization and Control · Mathematics 2021-05-20 Carl P. Dettmann , R. M. Jungers , P. Mason

This report presents an algorithm to statically schedule live and strongly connected Marked Graphs (MG). The proposed algorithm computes the best execution where the execution rate is maximal and place sizes are minimal. The proposed…

Formal Languages and Automata Theory · Computer Science 2012-02-23 Jean-Vivien Millo , Robert De Simone

We use symbolic dynamics to study discrete-time dynamical systems with multiple time delays. We exploit the concept of avoiding sets, which arise from specific non-generating partitions of the phase space and restrict the occurrence of…

Chaotic Dynamics · Physics 2010-12-21 Fatihcan M. Atay , Sarika Jalan , Jürgen Jost

We develop a learning algorithm for closed signal flow graphs - a graphical model of signal transducers. The algorithm relies on the correspondence between closed signal flow graphs and weighted finite automata on a singleton alphabet. We…

Logic in Computer Science · Computer Science 2024-07-02 Ekaterina Piotrovskaya , Leo Lobski , Fabio Zanasi

We propose an adaptive control strategy for the simultaneous estimation of topology and synchronization in complex dynamical networks with unknown, time-varying topology. Our approach transforms the problem of time-varying topology…

Multiagent Systems · Computer Science 2024-09-16 Nana Wang , Esteban Restrepo , Dimos V. Dimarogonas

Early warning indicators often suffer from the shortness and coarse-graining of real-world time series. Furthermore, the typically strong and correlated noise contributions in real applications are severe drawbacks for statistical measures.…

Data Analysis, Statistics and Probability · Physics 2026-03-03 Martin Heßler , Oliver Kamps

This paper considers the stabilization of unknown switched linear systems using data. Instead of a full system model, we have access to a finite number of trajectories of each of the different modes prior to the online operation of the…

Optimization and Control · Mathematics 2024-07-29 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

This paper explores the application of a new algebraic method of edge coloring, called complex coloring, to the scheduling problems of input queued switches. The proposed distributed parallel scheduling algorithm possesses two important…

Networking and Internet Architecture · Computer Science 2016-06-24 Lingkang Wang , Tong Ye , Tony T. Lee , Weisheng Hu

Switched systems constitute an important modeling paradigm faithfully describing many engineering systems in which software interacts with the physical world. Despite considerable progress on stability and stabilization of switched systems,…

Optimization and Control · Mathematics 2008-08-01 Antoine Girard , Giordano Pola , Paulo Tabuada

Many natural and man-made network systems need to maintain certain patterns, such as working at equilibria or limit cycles, to function properly. Thus, the ability to stabilize such patterns is crucial. Most of the existing studies on…

Optimization and Control · Mathematics 2025-09-30 Alberto Maria Nobili , Yuzhen Qin , Carlo Alberto Avizzano , Danielle S. Bassett , Fabio Pasqualetti

In $d$-Scattered Set we are given an (edge-weighted) graph and are asked to select at least $k$ vertices, so that the distance between any pair is at least $d$, thus generalizing Independent Set. We provide upper and lower bounds on the…

Computational Complexity · Computer Science 2018-11-13 Ioannis Katsikarelis , Michael Lampis , Vangelis Th. Paschos

This paper deals with the design of scheduling logics for Networked Control Systems (NCSs) whose communication networks have limited capacity. We assume that only a subset of the plants can communicate with their controllers at any time…

Systems and Control · Electrical Eng. & Systems 2024-02-23 Meghna Singh , Atreyee Kundu

A symbolic approach to decentralized set-valued state estimation and prediction for systems that admit a hybrid state machine representations is proposed. The decentralized computational scheme represents a conj unction of a finite number…

Systems and Control · Computer Science 2013-02-28 Naim Bajcinca

In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay. The main novelty of our approach lies on the use of…

Optimization and Control · Mathematics 2022-09-13 Thiago Alves Lima , Matteo Della Rossa , Frédéric Gouaisbaut , Raphaël Jungers , Sophie Tarbouriech

This study in centered on models accounting for stochastic deformations of sample paths of random walks, embedded either in $\mathbb{Z}^2$ or in $\mathbb{Z}^3$. These models are immersed in multi-type particle systems with exclusion.…

Statistical Mechanics · Physics 2007-05-23 Guy Fayolle , Cyril Furtlehner