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Delay differential equations (DDEs) with large delays play a pivotal role in understanding stability and bifurcations in systems ranging from neural networks to laser dynamics. While prior work has extensively studied DDEs with discrete…

Dynamical Systems · Mathematics 2025-09-09 Isam Al-Darabsah , Sue Ann Campbell , Bootan Rahman

SN 1984A shows unusually large expansion velocities in lines from freshly synthesized material, relative to typical Type Ia Supernovae (SNe Ia). SN 1984A is an example of a group of SNe Ia which have very large blue-shifts of the P-Cygni…

Astrophysics · Physics 2009-10-31 Eric J. Lentz , E. Baron , David Branch , P. H. Hauschildt

We propose an analytical technique to study large fluctuations and switching from internal noise in complex networks. Using order-disorder kinetics as a generic example, we construct and analyze the most probable, or optimal path of…

Physics and Society · Physics 2017-09-07 Jason Hindes , Ira B. Schwartz

In this paper, we study the problem of joint wideband spectrum sensing and direction-of-arrival (DoA) estimation in a sub-Nyquist sampling framework. Specifically, considering a scenario where a few uncorrelated narrowband signals spread…

Signal Processing · Electrical Eng. & Systems 2019-10-01 Feiyu Wang , Jun Fang , Huiping Duan , Hongbin Li

The quick detection and localization of partial discharge (PD) in an air-insulated substation (AIS) based on ultrahigh-frequency (UHF) sensor arrays are efficient for power equipment monitoring. The adopted UHF PD time difference of arrival…

Signal Processing · Electrical Eng. & Systems 2020-10-19 Bei Han , Lingen Luo , Gehao Sheng , Xiuchen Jiang

In this tutorial paper, a comprehensive survey is given on several major systematic approaches in dealing with delay-aware control problems, namely the equivalent rate constraint approach, the Lyapunov stability drift approach and the…

Performance · Computer Science 2016-11-17 Ying Cui , Vincent K. N. Lau , Rui Wang , Huang Huang , Shunqing Zhang

In this paper, we consider a point-to-point wireless communication system. The source monitors a physical process and generates status update packets according to a Poisson process. The packets are transmitted to the destination by using…

Signal Processing · Electrical Eng. & Systems 2019-08-20 Rui Wang , Yifan Gu , He Chen , Yonghui Li , Branka Vucetic

We consider a wireless communication network with an adaptive scheme to select the number of packets to be admitted and encoded for each transmission, and characterize the information timeliness. For a network of erasure channels and…

Information Theory · Computer Science 2021-03-10 Maice Costa , Yalin Sagduyu , Tugba Erpek , Muriel Médard

This work studies the throughput scaling laws of ad hoc wireless networks in the limit of a large number of nodes. A random connections model is assumed in which the channel connections between the nodes are drawn independently from a…

Information Theory · Computer Science 2016-11-18 Shengshan Cui , Alexander M. Haimovich , Oren Somekh , H. Vincent Poor , Shlomo Shamai

We develop delay-compensating feedback laws for linear switched systems with time-dependent switching. Because the future values of the switching signal, which are needed for constructing an exact predictor-feedback law, may be unavailable…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Andreas Katsanikakis , Nikolaos Bekiaris-Liberis

This work investigates the effect of finite buffer sizes on the throughput capacity and packet delay of line networks with packet erasure links that have perfect feedback. These performance measures are shown to be linked to the stationary…

Information Theory · Computer Science 2016-11-15 Badri N. Vellambi , Nima Torabkhani , Faramarz Fekri

Linear consensus iterations guarantee asymptotic convergence, thereby, limiting their applicability in applications where consensus value needs to be used in real time to perform a system level task. It also leads to wastage of power and…

Optimization and Control · Mathematics 2017-06-22 Mangal Prakash , Saurav Talukdar , Sandeep Attree , Vikas Yadav , Murti Salapaka

To accommodate the explosive growth of the Internet-of-Things (IoT), incorporating interference alignment (IA) into existing multiple access (MA) schemes is under investigation. However, when it is applied in MIMO networks to improve the…

Information Theory · Computer Science 2021-09-01 Jingfu Li , Zehui Xiong , Dusit Niyato , Weifeng Su , Wenjiang Feng , Weiheng Jiang

Direction-of-arrival (DOA) estimation for incoherently distributed (ID) sources is essential in multipath wireless communication scenarios, yet it remains challenging due to the combined effects of angular spread and gain-phase…

Signal Processing · Electrical Eng. & Systems 2025-01-29 He Xu , Tuo Wu , Wei Liu , Maged Elkashlan , Naofal Al-Dhahir , Merouane Debbah , Chau Yuen , Hing Cheung So

We study the notion of approximate entropy within the framework of network theory. Approximate entropy is an uncertainty measure originally proposed in the context of dynamical systems and time series. We firstly define a purely structural…

Disordered Systems and Neural Networks · Physics 2013-05-30 James West , Lucas Lacasa , Simone Severini , Andrew Teschendorff

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

We study structural feature and evolution of the Internet at the autonomous systems level. Extracting relevant parameters for the growth dynamics of the Internet topology, we construct a toy model for the Internet evolution, which includes…

Physics and Society · Physics 2015-06-26 H. K. Lee , K. -I. Goh , B. Kahng , D. Kim

We develop link rate control policies to minimize the queueing delay of packets in overloaded networks. We show that increasing link rates does not guarantee delay reduction during overload. We consider a fluid queueing model that…

Networking and Internet Architecture · Computer Science 2024-11-07 Xinyu Wu , Dan Wu , Eytan Modiano

A new statistical estimation method, Independent Approximates (IAs), is defined and proven to enable closed-form estimation of the parameters of heavy-tailed distributions. Given independent, identically distributed samples from a…

Methodology · Statistics 2025-11-25 Kenric P. Nelson

Information freshness and low latency communication is important to many emerging applications. While Age of Information (AoI) serves as a metric of information freshness, packet delay is a traditional metric of communication latency. We…

Information Theory · Computer Science 2019-01-15 Rajat Talak , Eytan Modiano