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Swarm stability is concerned for descriptor compartmental networks with linear time-invariant protocol. Compartmental network is a specific type of dynamical multi-agent system. Necessary and sufficient conditions for both consensus and…

系统与控制 · 计算机科学 2015-01-13 Ning Cai , M. Junaid Khan

We study the spectral properties of sparse random graphs with different topologies and type of interactions, and their implications on the stability of complex systems, with particular attention to ecosystems. Specifically, we focus on the…

无序系统与神经网络 · 物理学 2024-03-13 Pietro Valigi , Izaak Neri , Chiara Cammarota

We study an interacting particle system whose dynamics depends on an interacting random environment. As the number of particles grows large, the transition rate of the particles slows down (perhaps because they share a common resource of…

概率论 · 数学 2009-02-16 Charles Bordenave , David McDonald , Alexandre Proutiere

We consider a general model of a heterogeneous polymer chain fluctuating in the proximity of an interface between two selective solvents. The heterogeneous character of the model comes from the fact that the monomer units interact with the…

概率论 · 数学 2009-09-29 Francesco Caravenna , Giambattista Giacomin , Lorenzo Zambotti

Dynamics of many-body Hamiltonian systems with long range interactions is studied, in the context of the so called $\alpha-$HMF model. Building on the analogy with the related mean field model, we construct stationary states of the…

统计力学 · 物理学 2010-04-15 Tineke L. Van Den Berg , Duccio Fanelli , Xavier Leoncini

A matching queue is described via a graph $G$ together with a matching policy. Specifically, to each node in the graph there is a corresponding arrival process of items which can either be queued, or matched with queued items in neighboring…

概率论 · 数学 2017-03-08 Pascal Moyal , Ohad Perry

The performance of mobile ad hoc networks in general and that of the routing algorithm, in particular, can be heavily affected by the intrinsic dynamic nature of the underlying topology. In this paper, we build a new analytical/numerical…

网络与互联网体系结构 · 计算机科学 2018-11-09 Arta Cika , Mihai-Alin Badiu , Justin P. Coon

We address a class of Markov jump linear systems that are characterized by the underlying Markov process being time-inhomogeneous with a priori unknown transition probabilities. Necessary and sufficient conditions for uniform stochastic…

系统与控制 · 计算机科学 2014-11-24 Collin C. Lutz , Daniel J. Stilwell

We show that under certain simple assumptions on the topology (structure) of networks of strongly interacting chaotic elements a phenomenon of long range action takes place, namely that the asymptotic (as time goes to infinity) dynamics of…

动力系统 · 数学 2009-11-11 Michael Blank , Leonid Bunimovich

Randomly-assembled dynamical systems are theoretically predicted to be unstable upon crossing a critical threshold of complexity, as first shown by May. Yet, empirical complex systems exhibit remarkable stability, indicating the presence of…

无序系统与神经网络 · 物理学 2026-03-31 Francesco Ferraro , Christian Grilletta , Amos Maritan , Samir Suweis , Sandro Azaele

In nonorthogonal multiple access (NOMA), the power difference of multiple signals is exploited for multiple access and successive interference cancellation (SIC) is employed at a receiver to mitigate co-channel interference. Thus, NOMA is…

信息论 · 计算机科学 2017-06-28 Jinho Choi

We consider the problem of adaptive stabilization for discrete-time, multi-dimensional linear systems with bounded control input constraints and unbounded stochastic disturbances, where the parameters of the true system are unknown. To…

系统与控制 · 电气工程与系统科学 2023-04-04 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

This paper considers a population process on a dynamically evolving graph, which can be alternatively interpreted as a queueing network. The queues are of infinite-server type, entailing that at each node all customers present are served in…

概率论 · 数学 2020-01-01 Michel Mandjes , Nicos Starreveld , René Bekker

This paper studies linear stochastic approximation (SA) algorithms and their application to multi-agent systems in engineering and sociology. As main contribution, we provide necessary and sufficient conditions for convergence of linear SA…

最优化与控制 · 数学 2018-09-07 Ge Chen , Xiaoming Duan , Wenjun Mei , Francesco Bullo

In this technical note we consider a class of multi-agent network systems that we refer to as Open Multi-Agent Systems (OMAS): in these multi-agent systems, an indefinite number of agents may join or leave the network at any time. Focusing…

系统与控制 · 电气工程与系统科学 2024-09-23 Mauro Franceschelli , Paolo Frasca

This paper studies the performance of a transmission and reception scheme for massive access under some practical challenges. One challenge is the near-far problem, i.e., an access point often receives signals from different transmitting…

信息论 · 计算机科学 2023-05-15 Lina Liu , Dongning Guo

We consider the problem of parameter estimation for a stochastic McKean-Vlasov equation, and the associated system of weakly interacting particles. We study two cases: one in which we observe multiple independent trajectories of the…

统计理论 · 数学 2022-11-28 Louis Sharrock , Nikolas Kantas , Panos Parpas , Grigorios A. Pavliotis

The paper investigates the properties of a class of resource allocation algorithms for communication networks: if a node of this network has $x$ requests to transmit, then it receives a fraction of the capacity proportional to…

概率论 · 数学 2016-09-15 Philippe Robert , Amandine Véber

To account for the massive uncoordinated random access scenario, which is relevant for the Internet of Things, Polyanskiy (2017) proposed a novel formulation of the multiple-access problem, commonly referred to as unsourced multiple access,…

信息论 · 计算机科学 2023-02-23 Khac-Hoang Ngo , Alejandro Lancho , Giuseppe Durisi , Alexandre Graell i Amat

In this paper we consider distributed adaptive stabilization for uncertain multivariable linear systems with a time-varying diagonal matrix gain. We show that uncertain multivariable linear systems are stabilizable by diagonal matrix high…

系统与控制 · 电气工程与系统科学 2021-05-31 Zhiyong Sun , Anders Rantzer , Zhongkui Li , Anders Robertsson
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