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Related papers: Feedback control and delayed interactions in activ…

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Feedback is a most important concept in control systems, its main purpose is to deal with internal and/or external uncertainties in dynamical systems, by using the on-line observed information. Thus, a fundamental problem in control theory…

Optimization and Control · Mathematics 2007-05-23 Lei Guo

We discuss applications of time-delayed feedback control to delay-coupled neural systems and lasers, in the framework of the FitzHugh-Nagumo neuron model and the Lang-Kobayashi laser model, respectively. In the context of neural systems, we…

Chaotic Dynamics · Physics 2009-12-18 Philipp Hövel , Markus A. Dahlem , Thomas Dahms , Gerald Hiller , Eckehard Schöll

Controllability properties for discrete-time, Markovian quantum dynamics are investigated. We find that, while in general the controlled system is not finite-time controllable, feedback control allows for arbitrary asymptotic state-to-state…

Quantum Physics · Physics 2012-10-25 Francesca Albertini , Francesco Ticozzi

Robotic surface consisting of many actuators can change shape to perform tasks, such as facilitating human-machine interactions and transporting objects. Increasing the number of actuators can enhance the robot's capacity, but controlling…

Robotics · Computer Science 2024-12-03 Yuchen Zhao

We study the periodic forced response of a system of two limit cycle oscillators that interact with each other via a time delayed coupling. Detailed bifurcation diagrams in the parameter space of the forcing amplitude and forcing frequency…

Chaotic Dynamics · Physics 2007-05-23 D. V. Ramana Reddy , A. Sen , G. L. Johnston

We propose a novel feedback controller for a class of uncertain higher-order nonlinear systems, subject to delays in both state measurement and control input signals. Building on the prescribed performance control framework, a…

Optimization and Control · Mathematics 2025-09-11 Thomas Berger , Lampros N. Bikas , Jan Hachmeister , George A. Rovithakis

Response delay is an inherent and essential part of human actions. In the context of human balance control, the response delay is traditionally modeled using the formalism of delay-differential equations, which adopts the approximation of…

Neurons and Cognition · Quantitative Biology 2018-08-22 Takashi Suzuki , Ihor Lubashevsky , Arkady Zgonnikov

The Pyragas method for controlling chaos is investigated in detail from the experimental as well as theoretical point of view. We show by an analytical stability analysis that the revolution around an unstable periodic orbit governs the…

The increasing ease of obtaining and processing data together with the growth in system complexity has sparked the interest in moving from conventional model-based control design towards data-driven concepts. Since in many engineering…

Optimization and Control · Mathematics 2021-07-29 Juan G. Rueda-Escobedo , Emilia Fridman , Johannes Schiffer

Delayed feedback control is an easy realizable control method which generates control force by comparing the current and the delayed version of the system states. In this paper, a new form of the delayed feedback structure is introduced.…

Systems and Control · Computer Science 2019-02-08 Zahed Dastan , Mahsan Tavakoli-Kakhki

We generalize a method of control of chaos which uses delayed feedback at the period of an unstable orbit to stabilize that orbit. The generalization consists of substituting some portion of the nonlinear dynamical system with a delayed…

Condensed Matter · Physics 2008-02-03 M. de Sousa Vieira , A. J. Lichtenberg

The chattering response at the MRP shadow set switching point for the controlled attitude dynamics of a rigid tumbling spacecraft using delayed state feedback control with MRPs is investigated, where the time delay is assumed to be in the…

Systems and Control · Computer Science 2015-10-07 Ehsan Samiei , Eric A. Butcher

Delays and stochasticity have both served as crucially valuable ingredients in mathematical descriptions of control, physical, and biological systems. In this work, we investigate how explicitly dynamical stochasticity in delays modulates…

Molecular Networks · Quantitative Biology 2023-07-10 Bhargav R. Karamched , Christopher E. Miles

High-dimensional chaos displayed by multi-component systems with a single time-delayed feedback is shown to be accessible to time series analysis of a scalar variable only. The mapping of the original dynamics onto scalar time-delay systems…

This paper presents a mathematical approach for improving the performance of a control system by modifying the time delay at certain operating conditions. This approach converts a continuous time loop into a discrete time loop. The formula…

Systems and Control · Computer Science 2015-03-03 Salem Alkhalaf

We present an approach for the analytical treatment of excitable systems with noise-induced dynamics in the presence of time delay. An excitable system is modeled as a bistable system with a time delay, while another delay enters as a…

Chaotic Dynamics · Physics 2009-11-13 Andrey Pototsky , Natalia Janson

We demonstrate that time-delayed feedback control can be improved by adaptively tuning the feedback gain. This adaptive controller is applied to the stabilization of an unstable fixed point and an unstable periodic orbit embedded in a…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Judith Lehnert , Philipp Hövel , Valentin Flunkert , Peter Yu. Guzenko , Alexander L. Fradkov , Eckehard Schöll

Time-triggered and event-triggered control strategies for stabilization of an unstable plant over a rate-limited communication channel subject to unknown, bounded delay are studied and compared. Event triggering carries implicit…

Optimization and Control · Mathematics 2017-10-10 Mohammad Javad Khojasteh , Pavankumar Tallapragada , Jorge Cortes , Massimo Franceschetti

A delayed feedback control framework for stabilizing unstable periodic orbits of linear periodic time-varying systems is proposed. In this framework, act-and-wait approach is utilized for switching a delayed feedback controller on and off…

Systems and Control · Computer Science 2018-02-16 Ahmet Cetinkaya , Tomohisa Hayakawa , Mohd Amir Fikri bin Mohd Taib

Dynamical systems can autonomously adapt their organization so that the required target dynamics is reproduced. In the previous Rapid Communication [Phys. Rev. E 90,030901(R) (2014)], it was shown how such systems can be designed using…

Adaptation and Self-Organizing Systems · Physics 2016-11-04 Pablo Kaluza , Alexander S. Mikhailov