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A method is presented to analyze the stability of feedback systems with neural network controllers. Two stability theorems are given to prove asymptotic stability and to compute an ellipsoidal inner-approximation to the region of attraction…

Systems and Control · Electrical Eng. & Systems 2021-01-28 He Yin , Peter Seiler , Murat Arcak

Stability with respect to a given scheduling policy has become an important issue for wireless communication systems, but it is hard to prove in particular scenarios. In this paper two simple conditions for stability in broadcast channels…

Networking and Internet Architecture · Computer Science 2009-04-16 Chan Zhou , Gerhard Wunder

In multi-user wireless packet networks interference, typically modeled as packet collision, is the throughput bottleneck. Users become aware of the interference pattern via feedback and use this information for contention resolution and for…

Information Theory · Computer Science 2018-07-24 Alireza Vahid , Robert Calderbank

Motivated by packet routing in computer networks, online queuing systems are composed of queues receiving packets at different rates. Repeatedly, they send packets to servers, each of them treating only at most one packet at a time. In the…

Machine Learning · Statistics 2021-11-05 Flore Sentenac , Etienne Boursier , Vianney Perchet

In this paper, we consider the stability analysis of large-scale distributed networked control systems with random communication delays between linearly interconnected subsystems. The stability analysis is performed in the Markov jump…

Systems and Control · Computer Science 2015-11-13 Kooktae Lee , Raktim Bhattacharya

We consider a stable open queuing network as a steady non-equilibrium system of interacting particles. The network is completely specified by its underlying graphical structure, type of interaction at each node, and the Markovian transition…

Statistical Mechanics · Physics 2015-05-18 Vladimir Y. Chernyak , Michael Chertkov , David A. Goldberg , Konstantin Turitsyn

This work studies the mean-square stability and stabilization problem for networked feedback systems. Data transmission delays in the network channels of the systems are considered. It is assumed that these delays are i.i.d. processes with…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Jieying Lu , Junhui Li , Weizhou Su

In this letter, we obtain the stable throughput region for a cognitive relaying scheme with a finite relaying buffer and imperfect sensing. The analysis investigates the effect of the secondary user's finite relaying capabilities under…

Networking and Internet Architecture · Computer Science 2018-03-20 Ahmed M. Alaa

We study a scenario in which multiple uncoordinated devices aim to achieve reliable transmissions within a given time frame. The devices are intermittently active and access a shared pool of channel resources in a grant-free manner by…

Information Theory · Computer Science 2024-04-19 Radosław Kotaba , Roope Vehkalahti , Čedomir Stefanović , Olav Tirkkonen , Petar Popovski

This paper studies the stability and dynamic control of underlay mobile edge networks. First, the stability region for a multiuser edge network is obtained under the assumption of full channel state information. This result provides a…

Information Theory · Computer Science 2018-03-29 Y. Sarikaya , H. Inaltekin , T. Alpcan , J. S. Evans

We study a system, where a random flow of customers is served by servers (called agents) invited on-demand. Each invited agent arrives into the system after a random time; after each service completion, an agent returns to the system or…

Probability · Mathematics 2017-11-28 Lam M. Nguyen , Alexander Stolyar

Motivated by the need to provide differentiated quality-of-service (QoS) in grant-free uplink transmissions in 5G networks and beyond, we extend the probabilistic analysis of coded Poisson receivers (CPR) to the setting with multiple…

Networking and Internet Architecture · Computer Science 2025-07-17 Chia-Ming Chang , Yi-Jheng Lin , Cheng-Shang Chang , Duan-Shin Lee

In this paper, we analyze a shared access network with a fixed primary node and randomly distributed secondary nodes whose distribution follows a Poisson point process (PPP). The secondaries use a random access protocol allowing them to…

Networking and Internet Architecture · Computer Science 2016-03-30 Zheng Chen , Nikolaos Pappas , Marios Kountouris , Vangelis Angelakis

We consider a dynamic server control problem for two parallel queues with randomly varying connectivity and server switchover time between the queues. At each time slot the server decides either to stay with the current queue or switch to…

Optimization and Control · Mathematics 2010-08-16 Guner D. Celik , Long B. Le , Eytan Modiano

We propose a contention-based random-access protocol, designed for wireless networks where the number of users is not a priori known. The protocol operates in rounds divided into equal-duration slots, performing at the same time estimation…

Information Theory · Computer Science 2012-10-03 Čedomir Stefanović , Kasper F. Trilingsgaard , Nuno K. Pratas , Petar Popovski

We consider scheduled message communication over a discrete memoryless degraded broadcast channel. The framework we consider here models both the random message arrivals and the subsequent reliable communication by suitably combining…

Information Theory · Computer Science 2007-07-13 KCV Kalyanarama Sesha Sayee , Utpal Mukherji

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

Optimization and Control · Mathematics 2011-10-04 Debasish Chatterjee , Daniel Liberzon

Bounding the price of anarchy, which quantifies the damage to social welfare due to selfish behavior of the participants, has been an important area of research. In this paper, we study this phenomenon in the context of a game modeling…

Computer Science and Game Theory · Computer Science 2020-03-17 Jason Gaitonde , Eva Tardos

We present an example of a single-server polling system with two queues and an adaptive service policy where the stability region depends on the expected values of all the primitives and also on a certain exponential moment of the…

Probability · Mathematics 2014-10-09 Natalia Chernova , Sergey Foss , Bara Kim

Recent development of peer-to-peer (P2P) services (e.g. streaming, file sharing, and storage) systems introduces a new type of queue systems that receive little attention before, where both job and server arrive and depart randomly. Current…

Performance · Computer Science 2016-05-11 Taoyu Li , Minghua Chen , Tony Lee , Xing Li