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By an inductive reasoning, and based on recent results of the joint moments of proper delay times of open chaotic systems for ideal coupling to leads, we obtain a general expression for the distribution of the partial delay times for an…

Mesoscale and Nanoscale Physics · Physics 2017-11-28 A. M. Martínez-Argüello , A. A. Fernández-Marín , M. Martínez-Mares

The distribution of information is essential for living system's ability to coordinate and adapt. Random walkers are often used to model this distribution process and, in doing so, one effectively assumes that information maintains its…

Statistical Mechanics · Physics 2010-03-12 Ludvig Lizana , Martin Rosvall , Kim Sneppen

Recently we studied communication delay in distributed control of untimed discrete-event systems based on supervisor localization. We proposed a property called delay-robustness: the overall system behavior controlled by distributed…

Systems and Control · Computer Science 2017-05-02 Renyuan Zhang , Kai Cai , Yongmei Gan , W. M. Wonham

In this paper, we consider a stochastic process that may experience random reset events which relocate the system to its starting position. We focus our attention on a one-dimensional, monotonic continuous-time random walk with a constant…

Mathematical Physics · Physics 2017-10-11 Miquel Montero , Axel Masó-Puigdellosas , Javier Villarroel

We consider the two-component delay system $\varepsilon x^{\prime}(t)=-x(t)-y(t)+f(x(t-1)),$ $y^{\prime}(t)=\eta x(t)$ with small parameters $\varepsilon,\eta$, and positive feedback function $f$. Previously, such systems have been reported…

Dynamical Systems · Mathematics 2019-10-09 Stefan Ruschel , Serhiy Yanchuk

In cognitive radio systems, secondary users can utilize multiple dispersed bands that are not used by primary users. In this paper, time delay estimation of signals that occupy multiple dispersed bands is studied. First, theoretical limits…

Information Theory · Computer Science 2016-02-17 Fatih Kocak , Hasari Celebi , Sinan Gezici , Khalid A. Qaraqe , Huseyin Arslan , H. Vincent Poor

Distributed optimization finds applications in large-scale machine learning, data processing and classification over multi-agent networks. In real-world scenarios, the communication network of agents may encounter latency that may affect…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Mohammadreza Doostmohammadian , Narahari Kasagatta Ramesh , Alireza Aghasi

A single dynamical system with time-delayed feedback can emulate networks. This property of delay systems made them extremely useful tools for Machine Learning applications. Here we describe several possible setups, which allow emulating…

Dynamical Systems · Mathematics 2021-06-30 Florian Stelzer , Serhiy Yanchuk

Many biological regulatory systems process signals out of steady state and respond with a physiological delay. A simple model of regulation which respects these features shows how the ability of a delayed output to transmit information is…

Molecular Networks · Quantitative Biology 2013-08-13 Francesca Mancini , Chris H. Wiggins , Matteo Marsili , Aleksandra M. Walczak

We explore the achievable delay performance in wireless random-access networks. While relatively simple and inherently distributed in nature, suitably designed queue-based random-access schemes provide the striking capability to match the…

Networking and Internet Architecture · Computer Science 2013-05-17 Niek Bouman , Sem Borst , Johan van Leeuwaarden

Realizing delay-capacity in intermittently connected mobile networks remains a largely open question, with state-of-the-art routing schemes typically focusing either on delay or on capacity. We show the feasibility of routing with both high…

Networking and Internet Architecture · Computer Science 2014-01-24 Dhrubojyoti Roy , Mukundan Sridharan , Satyajeet Deshpande , Anish Arora

Time-invariant finite-dimensional systems, under reasonable continuity assumptions, exhibit the property that if solutions exist for all future times, the set of vectors reachable from a bounded set of initial conditions over bounded time…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Hernan Haimovich , Jose L. Mancilla-Aguilar

In overlay networks, both local and long-distance links appear as a single hop to a routing protocol. Traditional routing metrics (based on hop count or packet loss) fail to take the differences between such links into account. In this…

Networking and Internet Architecture · Computer Science 2014-03-17 Baptiste Jonglez , Matthieu Boutier , Juliusz Chroboczek

We study a model of binary decisions in a fully connected network of interacting agents. Individual decisions are determined by social influence, coming from direct interactions with neighbours, and a group level pressure that accounts for…

Probability · Mathematics 2021-10-27 Michele Aleandri , Ida Germana Minelli

This paper presents an explicit solution to a two player distributed LQR problem in which communication between controllers occurs across a communication link with varying delay. We extend known dynamic programming methods to accommodate…

Optimization and Control · Mathematics 2014-04-01 Nikolai Matni , Andrew Lamperski , John C. Doyle

Exchange of crucial and confidential information leads to the unprecedented attention on the security problem in wireless networks. Though the security has been studied in a number of works, the joint optimization of the physical layer…

Information Theory · Computer Science 2018-02-02 Yi Zhong , Xiaohu Ge , Tao Han , Qiang Li , Jing Zhang

Real-world systems can be strongly influenced by time delays occurring in self-coupling interactions, due to unavoidable finite signal propagation velocities. When the delays become significantly long, complicated high-dimensional phenomena…

Chaotic Dynamics · Physics 2022-06-08 Serhiy Yanchuk , Giovanni Giacomelli

In continuum one-dimensional space, a coupled directed continuous time random walk model is proposed, where the random walker jumps toward one direction and the waiting time between jumps affects the subsequent jump. In the proposed model,…

Statistical Mechanics · Physics 2014-03-20 Long Shi , Zuguo Yu , Zhi Mao , Aiguo Xiao

The random walk process underlies the description of a large number of real world phenomena. Here we provide the study of random walk processes in time varying networks in the regime of time-scale mixing; i.e. when the network connectivity…

We analyze the performance of an interference-limited, decode-and-forward, cooperative relaying system that comprises a source, a destination, and $N$ relays, placed arbitrarily on the plane and suffering from interference by a set of…

Information Theory · Computer Science 2016-03-25 Alessandro Crismani , Udo Schilcher , Günther Brandner , Stavros Toumpis , Christian Bettstetter