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Transport in complex networks can describe a variety of natural and human-engineered processes including biological, societal and technological ones. However, how the properties of the source and drain nodes can affect transport subject to…

Emergence of new types of services has led to various traffic and diverse delay requirements in fifth generation (5G) wireless networks. Meeting diverse delay requirements is one of the most critical goals for the design of 5G wireless…

信息论 · 计算机科学 2017-03-27 Yi Zhong , Tony Q. S. Quek , Xiaohu Ge

Our goal is to analyze performance of stable linear dynamical networks subject to external stochastic disturbances. The square of the $\mathcal H_2$-norm of the network is used as a performance measure to quantify the expected steady-state…

系统与控制 · 计算机科学 2015-02-04 Milad Siami , Nader Motee

In this paper we consider switched nonlinear systems under average dwell time switching signals, with an otherwise arbitrary compact index set and with additional constraints in the switchings. We present invariance principles for these…

最优化与控制 · 数学 2009-12-24 J. L. Mancilla-Aguilar , R. A. Garcia

We study the nonlinear inverse source problem of detecting, localizing and identifying unknown accidental disturbances on forced and damped transmission networks. A first result is that strategic observation sets are enough to guarantee…

最优化与控制 · 数学 2024-11-11 Jean-Guy Caputo , Adel Hamdi

We study the problem of resilient strategies in the presence of uncertainty. Resilient strategies enable an agent to make decisions that are robust against disturbances. In particular, we are interested in those disturbances that are able…

计算机科学与博弈论 · 计算机科学 2026-03-02 Kush Grover , Markel Zubia , Debraj Chakraborty , Muqsit Azeem , Nils Jansen , Jan Kretinsky

This article offers a brief overview of the current research topics concerning strategies to mitigate the adverse effects of perturbations in complex networks. It addresses the issue of an unclear use of Robustness and Resilience…

物理与社会 · 物理学 2019-09-17 Ulisses Lacerda de Morais , Luis Antunes

Nonlinear systems with model uncertainty are often described by stochastic differential equations. Some techniques from random dynamical systems are discussed. They are relevant to better understanding of solution processes of stochastic…

动力系统 · 数学 2008-11-25 Jinqiao Duan

Resilience characterizes a system's ability to retain its original function when perturbations happen. In the past years our attention mainly focused on small-scale resilience, yet our understanding of resilience in large-scale network…

适应与自组织系统 · 物理学 2020-10-13 Mengbang Zou , Luca Zanotti Fragonara , Weisi Guo

The mechanisms of information transmission are investigated in a lattice of coupled continuous maps, by analyzing the propagation of both finite and infinitesimal disturbances. Two distinct regimes are detected: in the former case, both…

chao-dyn · 物理学 2009-10-22 Antonio Politi , Alessandro Torcini

This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and equivariance with recent convergence…

动力系统 · 数学 2015-05-20 Giovanni Russo , Jean-Jacques E. Slotine

We present a graph-theoretic approach to analyzing the robustness of leader-follower consensus dynamics to disturbances and time delays. Robustness to disturbances is captured via the system $\mathcal{H}_2$ and $\mathcal{H}_{\infty}$ norms…

最优化与控制 · 数学 2016-05-02 Mohammad Pirani , Ebrahim Moradi Shahrivar , Baris Fidan , Shreyas Sundaram

Cloud computing represents an appealing opportunity for cost-effective deployment of HPC workloads on the best-fitting hardware. However, although cloud and on-premise HPC systems offer similar computational resources, their network…

分布式、并行与集群计算 · 计算机科学 2022-11-03 Daniele De Sensi , Tiziano De Matteis , Konstantin Taranov , Salvatore Di Girolamo , Tobias Rahn , Torsten Hoefler

We present a model for disordered 3D fiber networks to study their linear and nonlinear elasticity over a wide range of network densities and fiber lengths. In contrast to previous 2D models, these 3D networks with binary cross-links are…

软凝聚态物质 · 物理学 2015-05-30 C. P. Broedersz , M. Sheinman , F. C. MacKintosh

The paper discusses linear fractional representations of parameter-dependent nonlinear systems with dynamics defined by real rational nonlinearities and a finite set of point delays. The global asymptotic stability is investigated via…

动力系统 · 数学 2008-03-27 M. De la Sen

We analyse a collection of empirical networks in a wide spectrum of disciplines and show that strong non-normality is ubiquitous in network science. Dynamical processes evolving on non-normal networks exhibit a peculiar behaviour, as…

适应与自组织系统 · 物理学 2018-11-09 Malbor Asllani , Renaud Lambiotte , Timoteo Carletti

This paper presents a novel methodology for evaluating the boundedness, stability, and instability of some vector nonlinear systems with multiple time-varying delays and variable coefficients. The proposed technique develops two scalar…

动力系统 · 数学 2024-08-26 Mark A. Pinsky

Transport is an important function in many network systems and understanding its behavior on biological, social, and technological networks is crucial for a wide range of applications. However, it is a property that is not well-understood…

无序系统与神经网络 · 物理学 2009-11-13 Lazaros K. Gallos , Chaoming Song , Shlomo Havlin , Hernan A. Makse

In this paper, we first study the leader-following output synchronization problem for a class of uncertain nonlinear multi-agent systems over jointly connected switching networks. Our approach integrates the output-based adaptive…

最优化与控制 · 数学 2024-11-04 Jie Huang

We investigate the disruption of discrete-time consensus problems via grounding. Loosely speaking, grounding a network occurs if the state of one agent no longer responds to inputs from other agents and/or changes its dynamics. Then, the…

系统与控制 · 电气工程与系统科学 2021-02-15 Yamin Yan , Sonja Stüdli , Maria M. Seron , Richard H. Middleton