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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…

Systems and Control · Computer Science 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…

Disordered Systems and Neural Networks · Physics 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…

Probability · Mathematics 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…

Probability · Mathematics 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…

Statistical Mechanics · Physics 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…

Probability · Mathematics 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…

Networking and Internet Architecture · Computer Science 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…

Systems and Control · Computer Science 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…

Dynamical Systems · Mathematics 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…

Disordered Systems and Neural Networks · Physics 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…

Information Theory · Computer Science 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…

Systems and Control · Electrical Eng. & Systems 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…

Probability · Mathematics 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…

Optimization and Control · Mathematics 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…

Systems and Control · Electrical Eng. & Systems 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…

Information Theory · Computer Science 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…

Statistics Theory · Mathematics 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…

Probability · Mathematics 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,…

Information Theory · Computer Science 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…

Systems and Control · Electrical Eng. & Systems 2021-05-31 Zhiyong Sun , Anders Rantzer , Zhongkui Li , Anders Robertsson
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