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We propose a novel framework for learning time-varying graphs from spatiotemporal measurements. Given an appropriate prior on the temporal behavior of signals, our proposed method can estimate time-varying graphs from a small number of…

Signal Processing · Electrical Eng. & Systems 2025-09-10 Haruki Yokota , Koki Yamada , Yuichi Tanaka , Antonio Ortega

We study convective stability of a two-front superposition in a reaction-diffusion system. Due to the instability of the connecting equilibrium, long-range semi-strong interaction is expected between the two waves. When restricting to the…

Analysis of PDEs · Mathematics 2026-05-27 Louis Garénaux , Bastian Hilder

We apply a recently proposed method for the analysis of time series from systems with delayed feedback to experimental data generated by a CO_2 laser. The method is able to estimate the delay time with an error of the order of the sampling…

chao-dyn · Physics 2009-10-31 M. J. Bünner , M. Ciofini , A. Giaquinta , R. Hegger , H. Kantz , R. Meucci , A. Politi

There are several results on the stability of nonlinear positive systems in the presence of time delays. However, most of them assume that the delays are constant. This paper considers time-varying, possibly unbounded, delays and…

Systems and Control · Computer Science 2014-10-01 Hamid Reza Feyzmahdavian , Themistoklis Charalambous , Mikael Johansson

Communication topology is a crucial part of a distributed control implementation for cyber-physical systems, yet is typically treated as a constraint within control design problems rather than a design variable. We propose a data-driven…

Systems and Control · Electrical Eng. & Systems 2024-09-13 Michael Nestor , Fei Teng

We experimentally observe the nonlinear dynamics of an optoelectronic time-delayed feedback loop designed for chaotic communication using commercial fiber optic links, and we simulate the system using delay differential equations. We show…

Chaotic Dynamics · Physics 2009-08-24 Adam B. Cohen , Bhargava Ravoori , Thomas E. Murphy , Rajarshi Roy

We analyze (stochastic) gradient descent (SGD) with delayed updates on smooth quasi-convex and non-convex functions and derive concise, non-asymptotic, convergence rates. We show that the rate of convergence in all cases consists of two…

Machine Learning · Computer Science 2021-06-17 Sebastian U. Stich , Sai Praneeth Karimireddy

Filtered Smith predictors are well established for controlling linear plants with constant time delays. Apart from this classical application scenario, they are also employed within networked control loops, where the measurements are sent…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Martin Steinberger , Martin Horn

Systems with delayed feedback can possess chaotic attractors with extremely high dimension, even if only a few physical degrees of freedom are involved. We propose a state space reconstruction from time series data of a scalar observable,…

chao-dyn · Physics 2019-08-17 Rainer Hegger , Martin J. Bünner , Holger Kantz , Antonino Giaquinta

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

We apply the linear response theory developed in \cite{Ruelle} to analyze how a periodic signal of weak amplitude, superimposed upon a chaotic background, is transmitted in a network of non linearly interacting units. We numerically compute…

Statistical Mechanics · Physics 2009-11-10 B. Cessac , J. A. Sepulchre

We propose a new algorithm to simplify the controller development for distributed robotic systems subject to external observations, disturbances, and communication delays. Unlike prior approaches that propose specialized solutions to…

Robotics · Computer Science 2021-04-15 Jiayi Wei , Tongrui Li , Swarat Chaudhuri , Isil Dillig , Joydeep Biswas

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

Networking and Internet Architecture · Computer Science 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

Assessing the boundedness and stability of vector nonlinear systems with variable delays and coefficients remains a challenging problem with broad applications in science and engineering. Existing methods tend to produce overly conservative…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Mark A. Pinsky

In opinion dynamics, time delays in agent-to-agent interactions are ubiquitous, which can substantially disrupt the dynamical processes rooted in agents' opinion exchange, decision-making, and feedback mechanisms. However, a thorough…

Optimization and Control · Mathematics 2025-01-22 Lingling Yao , Aming Li

We present an elementary derivation and generalisation of a recently reported method of simulating feedback in open quantum systems. We use our generalised method to simulate systems with multiple delays, as well as cascaded systems with…

Quantum Physics · Physics 2017-09-14 S. J. Whalen , A. L. Grimsmo , H. J. Carmichael

We propose two dynamical models with delay taking advantage of their complex dynamics for information processing tasks. The first model incorporates coupled delayed dynamics of multiple bits, which is shown to have desirable properties as…

chao-dyn · Physics 2007-05-23 Toru Ohira

The formation of coherent patterns in swarms of interacting self-propelled autonomous agents is a subject of great interest in a wide range of application areas, ranging from engineering and physics to biology. In this paper, we model and…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 Klementyna Szwaykowska , Ira B. Schwartz , Luis Mier-y-Teran Romero , Christoffer R. Heckman , Dan Mox , M. Ani Hsieh

We consider a synthesis problem for a remotely controlled linear system where the communication is constrained because of the shared and unreliable nature of the channel. Modeling the constraints by a periodic transmission scheme and random…

Optimization and Control · Mathematics 2008-06-24 Hideaki Ishii

This paper studies coordination problem for time-varying networks suffering from antagonistic information, quantified by scaling parameters. By such a manner, interacting property of the participating individuals and antagonistic…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Wentao Zhang
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