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We consider both leaderless and leader-follower, possibly nonlinear, networks affected by time-varying communication delays. For such systems, we give a set of sufficient conditions that guarantee the convergence of the network towards some…

系统与控制 · 电气工程与系统科学 2024-02-12 Shihao Xie , Giovanni Russo

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in complex networks. We consider two types of time delays: transmission delays between interacting nodes and local delays at each node…

统计力学 · 物理学 2012-12-03 D. Hunt , B. K. Szymanski , G. Korniss

A nonlinear small-world network model has been presented to investigate the effect of nonlinear interaction and time delay on the dynamic properties of small-world networks. Both numerical simulations and analytical analysis for networks…

无序系统与神经网络 · 物理学 2015-05-18 Xin-She Yang

An intuitive overview of the scalability of a variety of types of wireless networks is presented. Simple heuris- tic arguments are demonstrated here for scaling laws presented in other works, as well as for conditions not previously…

信息论 · 计算机科学 2016-11-26 Linda Zeger , Muriel Médard

This paper studies the robustness of large-scale interconnected systems with respect to external disturbances, focussing on their scalability properties. Specifically, a notion of scalability is introduced that asks for these robustness…

最优化与控制 · 数学 2020-05-14 Steffi Knorn , Bart Besselink

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

适应与自组织系统 · 物理学 2022-05-11 Sergei A. Plotnikov

We consider the problem of designing control protocols for nonlinear network systems affected by heterogeneous, time-varying delays and disturbances. For these networks, the goal is to reject polynomial disturbances affecting the agents and…

最优化与控制 · 数学 2023-03-14 Shihao Xie , Giovanni Russo

In this report, we develop a semistability analysis framework for nonlinear systems with bounded time-varying delays with applications to stability analysis of multiagent dynamic networks with consensus protocols in the presence of unknown…

最优化与控制 · 数学 2013-06-03 Qing Hui

For networked systems, the control law is typically subject to network flaws such as delays and packet dropouts. Hence, the time in between updates of the control law varies unexpectedly. Here, we present a stability theorem for nonlinear…

最优化与控制 · 数学 2012-08-30 Lars Grüne , Jürgen Pannek , Karl Worthmann

This paper addresses the challenge of network synchronization under limited communication, involving heterogeneous agents with different dynamics and various network topologies, to achieve consensus. We investigate the distributed adaptive…

系统与控制 · 电气工程与系统科学 2025-04-08 Moh. Kamalul Wafi , Milad Siami

Reduction of end-to-end network delays is an optimization task with applications in multiple domains. Low delays enable improved information flow in social networks, quick spread of ideas in collaboration networks, low travel times for…

数据库 · 计算机科学 2016-09-28 Sourav Medya , Petko Bogdanov , Ambuj Singh

Linear stability of synchronized states in networks of delay-coupled oscillators depends on the type of interaction, the network and oscillator properties. For inert oscillator response, found ubiquitously from biology to engineering,…

适应与自组织系统 · 物理学 2022-02-02 Dimitrios Prousalis , Lucas Wetzel

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…

统计力学 · 物理学 2015-03-17 D. Hunt , G. Korniss , B. K. Szymanski

Resilience is a system's ability to maintain its function when perturbations and errors occur. Whilst we understand low-dimensional networked systems' behavior well, our understanding of systems consisting of a large number of components is…

系统与控制 · 电气工程与系统科学 2021-09-08 Giannis Moutsinas , Mengbang Zou , Weisi Guo

In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It…

混沌动力学 · 物理学 2015-06-19 Guofeng Zhang , Tongwen Chen

This paper is concerned with the problem of designing distributed control protocols for network systems affected by delays and disturbances consisting of a first-order polynomial component and a residual signal. Specifically, we propose the…

系统与控制 · 电气工程与系统科学 2022-05-23 Shihao Xie , Giovanni Russo

This paper deals with adaptive synchronization of chaos in the presence of time-varying communication-delays. We consider two bidirectionally coupled systems that seek to synchronize through a signal that each system sends to the other one…

混沌动力学 · 物理学 2015-05-30 Francesco Sorrentino , Pietro De Lellis

Dynamical networks with time delays can pose a considerable challenge for mathematical analysis. Here, we extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When…

无序系统与神经网络 · 物理学 2011-11-11 Johannes M. Höfener , Gautam C. Sethia , Thilo Gross

This paper deals with the global stability of time-delayed dynamical networks. We show that for a time-delayed dynamical network with non-distributed delays the network and the corresponding non-delayed network are both either globally…

动力系统 · 数学 2015-06-05 Lenonid Bunimovich , Benjamin Webb

Small networks of chaotic units which are coupled by their time-delayed variables, are investigated. In spite of the time delay, the units can synchronize isochronally, i.e. without time shift. Moreover, networks can not only synchronize…

混沌动力学 · 物理学 2009-11-13 Johannes Kestler , Evi Kopelowitz , Ido Kanter , Wolfgang Kinzel
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