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This paper is concerned with stability analysis and synthesis for discrete-time linear systems with stochastic dynamics. Equivalence is first proved for three stability notions under some key assumptions on the randomness behind the…

Systems and Control · Computer Science 2019-03-01 Yohei Hosoe , Tomomichi Hagiwara

Many real-world scale-free networks, such as neural networks and online communication networks, consist of a fixed number of nodes but exhibit dynamic edge fluctuations. However, traditional models frequently overlook scenarios where the…

Social and Information Networks · Computer Science 2026-04-02 Yichao Yao , Minyu Feng , Matjaž Perc , Jürgen Kurths

The Lyapunov inequality is an indispensable tool for stability analysis in linear control theory. It provides a necessary and sufficient condition for the stability of an autonomous linear-time invariant system in terms of the existence of…

Optimization and Control · Mathematics 2025-12-24 Avinash Kumar

Temporal network analysis and time evolution of network characteristics are powerful tools in describing the changing topology of dynamic networks. This paper uses such approaches to better visualize and provide analytical measures for the…

Multiagent Systems · Computer Science 2021-10-04 N. DiBrita , K. Eledlebi , H. Hildmann , L. Culley , A. F. Isakovic

We consider transferable-utility profit-sharing games that arise from settings in which agents need to jointly choose one of several alternatives, and may use transfers to redistribute the welfare generated by the chosen alternative. One…

Theoretical Economics · Economics 2019-09-26 Moshe Babaioff , Uriel Feige

While training fair machine learning models has been studied extensively in recent years, most developed methods rely on the assumption that the training and test data have similar distributions. In the presence of distribution shifts, fair…

Machine Learning · Computer Science 2023-09-22 Sina Baharlouei , Meisam Razaviyayn

We study the distribution of traffic in networks whose users try to minimise their delays by adhering to a simple learning scheme inspired by the replicator dynamics of evolutionary game theory. The stable steady states of these dynamics…

Probability · Mathematics 2010-02-27 Panayotis Mertikopoulos , Aris L. Moustakas

This paper provides sufficient conditions for global asymptotic stability and global exponential stability, which can be applied to nonlinear, large-scale, uncertain discrete-time systems. The conditions are derived by means of vector…

Optimization and Control · Mathematics 2014-03-25 Iasson Karafyllis , Markos Papageorgiou

Power distribution systems are becoming much more active with increased penetration of distributed energy resources. Because of the intermittent nature of these resources, the stability of distribution systems under large disturbances and…

Systems and Control · Electrical Eng. & Systems 2022-05-25 Wenqi Cui , Baosen Zhang

LTE in the unlicensed band (LTE-U) is a promising solution to overcome the scarcity of the wireless spectrum. However, to reap the benefits of LTE-U, it is essential to maintain its effective coexistence with WiFi systems. Such a…

Networking and Internet Architecture · Computer Science 2018-12-12 Aunas Manzoor , Nguyen H. Tran , Walid Saad , S. M. Ahsan Kazmi , Shashi Raj Pandey , Choong Seon Hong

The rapid increase in the integration of intermittent and stochastic renewable energy resources (RER) introduces challenging issues related to power system stability. Interestingly, identifying grid nodes that can best support stochastic…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Mohamad Kazma , Ahmad F. Taha

Robust and efficient design of networks on a realistic geographical space is one of the important issues for the realization of dependable communication systems. In this paper, based on a percolation theory and a geometric graph property,…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Yukio Hayashi

TCP is the dominating transmission protocol in the Internet since decades. It proved its flexibility to adapt to unknown and changing network conditions. A distinguished TCP feature is the comparably fair resource sharing. Unfortunately,…

Networking and Internet Architecture · Computer Science 2016-10-31 Wolfram Lautenschlaeger

We propose and experimentally demonstrate a bandwidth allocation method based on the comparative advantage of spectral efficiency among users in a multi-tone small-cell radio access system with frequency-selective fading channels. The…

Networking and Internet Architecture · Computer Science 2019-09-20 Lin Cheng , Bernardo A. Huberman

This paper investigates the robustness of exponential stability of a class of switched systems described by linear functional differential equations under arbitrary switching. We will measure the stability robustness of such a system,…

Dynamical Systems · Mathematics 2022-03-08 Nguyen Khoa Son , Le Van Ngoc

We study the phenomenon of entrainment in processor sharing networks, whereby, while individual network resources have sufficient capacity to met demand, the requirement for simultaneous availability of resources means that a network may…

Probability · Mathematics 2007-08-01 Jennie Hansen , Cian Reynolds , Stan Zachary

Several studies demonstrate that there are critical differences between real wireless networks and simulation models. This finding has permitted to extract spatial and temporal properties for links and to provide efficient methods as biased…

Networking and Internet Architecture · Computer Science 2012-07-12 Mohamed-Haykel Zayani , Vincent Gauthier , Djamal Zeghlache

Efficient and fair allocation of multiple types of resources is a crucial objective in a cloud/distributed computing cluster. Users may have diverse resource needs. Furthermore, diversity in server properties/ capabilities may mean that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-01 Jalal Khamse-Ashari , Ioannis Lambadaris , George Kesidis , Bhuvan Urgaonkar , Yiqiang Zhao

We study fair division of divisible goods under generalized assignment constraints. Here, each good has an agent-specific value and size, and every agent has a budget constraint that limits the total size of the goods she can receive. Since…

Computer Science and Game Theory · Computer Science 2026-03-03 Siddharth Barman , Ioannis Caragiannis , Sudarshan Shyam

Retransmissions represent a primary failure recovery mechanism on all layers of communication network architecture. Similarly, fair sharing, e.g. processor sharing (PS), is a widely accepted approach to resource allocation among multiple…

Performance · Computer Science 2014-09-22 Predrag R. Jelenković , Evangelia D. Skiani
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