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This paper considers the problem of achieving attitude consensus in spacecraft formations with bounded, time-varying communication delays between spacecraft connected as specified by a strongly connected topology. A state feedback con-…

Systems and Control · Computer Science 2017-07-06 Siddharth H. Nair , Kamesh Subbarao

A novel delay-based spacing policy for the control of vehicle platoons is introduced together with a notion of disturbance string stability. The delay-based spacing policy specifies the desired inter-vehicular distance between vehicles and…

Systems and Control · Computer Science 2017-02-06 Bart Besselink , Karl H. Johansson

This paper studies a class of random nonlinear systems with time-varying delay, in which the $r$-order moment ($r\geq1$) of the random disturbance is finite. Firstly, some general conditions are proposed to guarantee the existence and…

Optimization and Control · Mathematics 2018-06-22 Yao Liqiang , Zhang Weihai

Delayed offloading is a widely accepted solution for mobile users to offload their traffic through Wi-Fi when they are moving in urban areas. However, delayed offloading enhances offloading efficiency at the expense of delay performance.…

Networking and Internet Architecture · Computer Science 2019-03-28 Xiaoyi Zhou , Tong Ye , Tony T. Lee

We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the…

Pattern Formation and Solitons · Physics 2012-10-08 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

Long-term memory is a feature observed in systems ranging from neural networks to epidemiological models. The memory in such systems is usually modeled by the time delay. Furthermore, the nonlocal operators, such as the "fractional order…

Dynamical Systems · Mathematics 2023-05-12 Divya D. Joshi , Sachin Bhalekar , Prashant M. Gade

We study general stochastic birth and death processes including delay. We develop several approaches for the analytical treatment of these non-Markovian systems, valid, not only for constant delays, but also for stochastic delays with…

Statistical Mechanics · Physics 2015-06-11 Luis F. Lafuerza , Raul Toral

We study the stability of networks of multi-agent systems with local pinning strategies and two types of time delays, namely the transmission delay in the network and the pinning delay of the controllers. Sufficient conditions for stability…

Systems and Control · Computer Science 2016-04-05 Wenlian Lu , Fatihcan M. Atay

Understanding how time delays impact the stability of a delay differential equation is important for modeling many natural and technological systems that experience time delays. Here we introduce a new stability criterion for…

Dynamical Systems · Mathematics 2025-08-25 Quinlan Leishman , Benjamin Webb

Flight delays impose challenges that impact any flight transportation system. Predicting when they are going to occur is an important way to mitigate this issue. However, the behavior of the flight delay system varies through time. This…

Machine Learning · Computer Science 2022-02-01 Lucas Giusti , Leonardo Carvalho , Antonio Tadeu Gomes , Rafaelli Coutinho , Jorge Soares , Eduardo Ogasawara

Train delays are a persistent issue in railway systems, particularly in suburban networks where operational complexity is heightened by frequent services and high passenger volumes. Traditional delay models often overlook the temporal and…

Applications · Statistics 2025-12-08 Stefania Colombo , Alfredo Gimenez Zapiola , Francesca Ieva , Simone Vantini

Interactions in active matter systems inherently involve delays due to information processing and actuation lags. We numerically investigate the impact of such delays on the phase behavior of the Vicsek model for motile active matter at a…

Soft Condensed Matter · Physics 2025-08-08 Robert Horton , Viktor Holubec

Systems with time delay play an important role in modeling of many physical and biological processes. In this paper we describe generic properties of systems with time delay, which are related to the appearance and stability of periodic…

Chaotic Dynamics · Physics 2015-05-13 S. Yanchuk , P. Perlikowski

In this paper, we study the dynamics and stability of a fundamental power system model when a time delay is imposed on the excitation of the generator. It is observed that sustained oscillations can arise in an otherwise stable power system…

Chaotic Dynamics · Physics 2007-05-23 Rajesh G. Kavasseri

Recently, the traffic congestion in modern cities has become a growing worry for the residents. As presented in Baidu traffic report, the commuting stress index has reached surprising 1.973 in Beijing during rush hours, which results in…

Artificial Intelligence · Computer Science 2019-10-29 Xianfeng Liang , Likang Wu , Joya Chen , Yang Liu , Runlong Yu , Min Hou , Han Wu , Yuyang Ye , Qi Liu , Enhong Chen

Public transport is vital for meeting people's mobility needs. Providers need to plan their services well to offer high quality and low cost. Optimized planning can benefit providers, customers, and municipalities. The planning process for…

Optimization and Control · Mathematics 2023-10-23 Lucas Mertens , Lena-Antonia Wolbeck , David Rößler , Lin Xie , Natalia Kliewer

Online recommender systems often face long delays in receiving feedback, especially when optimizing for some long-term metrics. While mitigating the effects of delays in learning is well-understood in stationary environments, the problem…

Machine Learning · Statistics 2020-08-12 Claire Vernade , Andras Gyorgy , Timothy Mann

Persuasive scholarship presents how individual daily travel habits implicate congestion, environmental pollution, and the travel experience. However, the empirical characteristics and dynamics of travel habits remain poorly understood.…

Physics and Society · Physics 2025-05-07 Jiwon Kim , Jonathan Corcoran

In this paper, we consider a stabilization problem of a generalized thermoelastic system (the so called $\alpha-\beta$ system) with delay in a part of the coupled system. For each case, we prove the well-posedness of the corresponding…

Analysis of PDEs · Mathematics 2024-07-29 Kaïs Ammari , Makrem Salhi , Farhat Shel

Delays are ubiquitous in modern hybrid systems, which exhibit both continuous and discrete dynamical behaviors. Induced by signal transmission, conversion, the nature of plants, and so on, delays may appear either in the continuous…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Yunjun Bai , Ting Gan , Li Jiao , Bican Xia , Bai Xue , Naijun Zhan