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In large wireless networks, acquiring full network state information is typically infeasible. Hence, nodes need to flow the information and manage the interference based on partial information about the network. In this paper, we consider…

Information Theory · Computer Science 2015-03-17 Alireza Vahid , Vaneet Aggarwal , Amir Salman Avestimehr , Ashutosh Sabharwal

We consider optimal/efficient power allocation policies in a single/multihop wireless network in the presence of hard end-to-end deadline delay constraints on the transmitted packets. Such constraints can be useful for real time voice and…

Networking and Internet Architecture · Computer Science 2017-02-17 Satya V Kumar , Vinod Sharma

We investigate the scheduling of a common resource between several concurrent users when the feasible transmission rate of each user varies randomly over time. Time is slotted and users arrive and depart upon service completion. This may…

Performance · Computer Science 2015-03-18 U. Ayesta , M. Erausquin , M. Jonckheere , I. M. Verloop

The stability of synchronous states is analysed in the context of two populations of inhibitory and excitatory neurons, characterized by different pulse-widths. The problem is reduced to that of determining the eigenvalues of a suitable…

Neurons and Cognition · Quantitative Biology 2020-02-04 Afifurrahman , Ekkehard Ullner , Antonio Politi

A general open problem in networking is: what are the fundamental limits to the performance that is achievable with some given amount of resources? More specifically, if each node in the network has information about only its $1$-hop…

Information Theory · Computer Science 2020-07-17 Ashwin Ganesan

In this paper, we study the simultaneous stability problem of a finite number of locally inter-connected linear subsystems under practical constraints, including asynchronous and aperiodic sampling, time-varying delays, and measurement…

Optimization and Control · Mathematics 2017-10-06 Feng Xiao , Yang Shi , Wei Ren

This article is concerned with stability analysis and stabilization of randomly switched nonlinear systems. These systems may be regarded as piecewise deterministic stochastic systems: the discrete switches are triggered by a stochastic…

Optimization and Control · Mathematics 2010-09-08 Debasish Chatterjee , Daniel Liberzon

A monotone self-mapping of the nonnegative orthant induces a monotone discrete-time dynamical system which evolves on the same orthant. If with respect to this system the origin is attractive then there must exists points whose image under…

Numerical Analysis · Mathematics 2010-05-06 Björn S. Rüffer , Fabian R. Wirth

This paper addresses the stability conditions of the sampled-data teleoperation systems consisting continuous time master, slave, operator, and environment with discrete time controllers over general communication networks. The output…

Systems and Control · Electrical Eng. & Systems 2020-08-18 Amir A Ghavifekr , Amir R Ghiasi , Mohammad A Badamchizadeh , Farzad Hashemzadeh , Paolo Fiorini

This paper studies the problem of scheduling in single-hop wireless networks with real-time traffic, where every packet arrival has an associated deadline and a minimum fraction of packets must be transmitted before the end of the deadline.…

Networking and Internet Architecture · Computer Science 2010-07-12 Juan Jose Jaramillo , R. Srikant , Lei Ying

We derive a simple sufficient condition for the local asymptotic stability of spatially discrete, continuous-time reaction-diffusion systems of networked dynamical systems at a homogeneous equilibrium point. The framework explicitly…

Dynamical Systems · Mathematics 2026-05-07 Dinesh Kumar

A wireless network in which packets are broadcast to a group of receivers through use of a random access protocol is considered in this work. The relation to previous work on networks of interacting queues is discussed and subsequently, the…

Information Theory · Computer Science 2007-11-05 Brooke Shrader , Anthony Ephremides

We consider a linear multi-hop network composed of multi-state discrete-time memoryless channels over each hop, with orthogonal time-sharing across hops under a half-duplex relaying protocol. We analyze the probability of error and…

Information Theory · Computer Science 2008-10-29 Ozgur Oyman

This letter offers the first characterisation of the stability for full-duplex large size networks. Through stochastic geometry tools, key performance metrics like delay and maximum stable arrival rate are derived for the non saturated…

Networking and Internet Architecture · Computer Science 2016-09-19 Andrea Munari , Francesco Rossetto , Petri Mähönen , Marina Petrova

Mobile wireless network research focuses on scenarios at the extremes of the network connectivity continuum where the probability of all nodes being connected is either close to unity, assuming connected paths between all nodes (mobile ad…

Networking and Internet Architecture · Computer Science 2016-11-15 Simon Heimlicher , Merkouris Karaliopoulos , Hanoch Levy , Thrasyvoulos Spyropoulos

Consider a multihop wireless network serving multiple flows in which wireless link interference constraints are described by a link interference graph. For such a network, we design routing-scheduling policies that maximize the end-to-end…

Networking and Internet Architecture · Computer Science 2017-09-13 Rahul Singh , P. R. Kumar , Eytan Modiano

Due to their inherent complexity, engineered wireless multihop ad hoc communication networks represent a technological challenge. Having no mastering infrastructure the nodes have to selforganize themselves in such a way that for example…

Statistical Mechanics · Physics 2007-05-23 Ingmar Glauche , Wolfram Krause , Rudolf Sollacher , Martin Greiner

We consider the design of wireless queueing network control policies with particular focus on combining stability with additional application-dependent requirements. Thereby, we consequently pursue a cost function based approach that…

Information Theory · Computer Science 2017-07-19 Martin Kasparick , Gerhard Wunder

To account for the randomness of propagation channels and interference levels in hierarchical spectrum sharing, a novel approach to multihop routing is introduced for cognitive random access networks, whereby packets are randomly routed…

Optimization and Control · Mathematics 2012-07-05 Emiliano Dall'Anese , Georgios B. Giannakis

The stability analysis of synchronization patterns on generalized network structures is of immense importance nowadays. In this article, we scrutinize the stability of intralayer synchronous state in temporal multilayer hypernetworks, where…

Chaotic Dynamics · Physics 2022-03-16 Md Sayeed Anwar , Sarbendu Rakshit , Dibakar Ghosh , Erik M. Bollt