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Related papers: Time-delayed feedback control of delay-coupled neu…

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We consider rare transitions induced by colored noise excitation in multistable systems. We show that undesirable transitions can be mitigated by a simple time-delay feedback control if the control parameters are judiciously chosen. We…

Dynamical Systems · Mathematics 2021-09-15 Konstantinos Mamis , Mohammad Farazmand

This paper studies the performance of a feedback control loop closed via an error-free digital communication channel with transmission delay. The system comprises a discrete-time noisy linear time-invariant (LTI) plant whose single…

Systems and Control · Computer Science 2018-09-05 M. Barforooshan , M. S. Derpich , P. A. Stavrou , J. Østergaard

In present paper we discuss the control of complex spatio-temporal dynamics in a {spatially extended} non-linear system (fluid model of Pierce diode) based on the concepts of controlling chaos in the systems with few degrees of freedom. A…

Plasma Physics · Physics 2007-05-23 Alexander Hramov , Alexey koronovskii , Irene Rempen

We report a new experimental approach using an optoelectronic feedback loop to investigate the dynamics of oscillators coupled on large complex networks with arbitrary topology. Our implementation is based on a single optoelectronic…

Chaotic Dynamics · Physics 2018-01-17 Joseph D. Hart , Don C. Schmadel , Thomas E. Murphy , Rajarshi Roy

This paper addresses the boundary output feedback stabilization of general 1-D reaction-diffusion PDEs with delayed boundary measurement. The output takes the form of a either Dirichlet or Neumann trace. The output delay can be arbitrarily…

Optimization and Control · Mathematics 2021-06-28 Hugo Lhachemi , Christophe Prieur

Previous work has shown that Benjamin-Feir unstable traveling waves of the complex Ginzburg-Landau equation (CGLE) in two spatial dimensions cannot be stabilized using a particular time-delayed feedback control mechanism known as…

Pattern Formation and Solitons · Physics 2009-11-13 Claire M. Postlethwaite , Mary Silber

We investigate the transient times for the onset of control of steady states by time-delayed feedback. The optimization of control by minimising the transient time before control becomes effective is discussed analytically and numerically,…

Adaptation and Self-Organizing Systems · Physics 2009-12-10 Robert C. Hinz , Philipp Hövel , Eckehard Schöll

Understanding complex systems which exhibit desynchronization as an emergent property should have important implications, particularly in treating neurological disorders and designing efficient communication networks. Here were demonstrate…

Mathematical Physics · Physics 2012-11-06 J. Borresen , D. Broomhead

We numerically investigate the effect of phase-amplitude coupling modulation on power spectra in semiconductor lasers subject to optical injection in a face to face configuration, when a non-negligible injection delay time is taken into…

Optics · Physics 2017-03-01 Pramod Kumar , Sudeshna Sinhac , Vishwa Pald , John Gerard McInerney

The Frimmer-Novotny model to simulate two-level systems by coupled oscillators is extended by incorporating a constant time delay in the coupling. The effects of the introduced delay on system dynamics and two-level modeling are then…

This work is devoted to the stabilization of parabolic systems with a finite-dimensional control subjected to a constant delay. Our main result shows that the Fattorini-Hautus criterion yields the existence of such a feedback control, as in…

Optimization and Control · Mathematics 2020-04-20 Imene Aicha Djebour , Takéo Takahashi , Julie Valein

Time delay is ubiquitous in many experimental and real-world situations. It is often unclear whether time delay plays a significant role in observed phenomena, and if it does, how long the time lag really is. This would be invaluable…

Data Analysis, Statistics and Probability · Physics 2025-12-10 Robin A. Kopp , Sabine H. L. Klapp , Deepak Gupta

Laser has unique advantages such as abundant spectrum resources and low propagation divergence in wireless charging and wireless communications, compared with radio frequency. Resonant beams, as a kind of intra-cavity laser beams, have been…

Signal Processing · Electrical Eng. & Systems 2022-03-03 Mingliang Xiong , Shun Han , Qingwen Liu , Shengli Zhou

This work investigates the boundary stabilization problem of the Hirota-Satsuma system. In the problem under consideration, a boundary feedback law consisting of a linear combination of a damping mechanism and a time-delay term is designed.…

Analysis of PDEs · Mathematics 2024-10-23 Victor Hugo Gonzalez Martinez , Juan Ricardo Muñoz

Delayed interactions are a common property of coupled natural systems and therefore arise in a variety of different applications. For instance, signals in neural or laser networks propagate at finite speed giving rise to delayed…

Dynamical Systems · Mathematics 2015-06-12 Leonhard Lücken , Jan Philipp Pade , Kolja Knauer , Serhiy Yanchuk

We investigate the dynamical behaviour of two limit cycle oscillators that interact with each other via time delayed coupling and find that time delay can lead to amplitude death of the oscillators even if they have the same frequency. We…

chao-dyn · Physics 2009-10-31 D. V. Ramana Reddy , A. Sen , G. L. Johnston

We detail in this article the necessity of a change of paradigm for the delay-robust control of systems composed of two linear first order hyperbolic equations. One must go back to the classical trade-off between convergence rate and…

Optimization and Control · Mathematics 2017-09-14 Jean Auriol , Jakob Ulf , Philippe Martin , Florent Meglio

Time-delayed optical feedback is known to trigger a wide variety of complex dynamical behavior in semiconductor lasers. Adding a second optical feedback loop is naturally expected to further increase the complexity of the system and its…

Optics · Physics 2023-06-08 Robbe de Mey , Spencer W. Jolly , Martin Virte

This article is devoted to addressing the cloud control of connected vehicles, specifically focusing on analyzing the effect of bi-directional communication-induced delays. To mitigate the adverse effects of such delays, a novel…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Ji-An Pan , Qing Xu , Keqiang Li , Chunying Yang , Jianqiang Wang

We present a linear model, which mimics the response of a spatially extended dissipative medium to a distant perturbation, and investigate its dynamics under delayed feedback control. The time a perturbation needs to propagate to a…

Adaptation and Self-Organizing Systems · Physics 2018-11-08 Josua Grawitter , Reinier van Buel , Christian Schaaf , Holger Stark