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Equivariant Pyragas control is a delayed feedback method that aims to stabilize spatio-temporal patterns in systems with symmetries. In this article, we apply equivariant Pyragas control to discrete waves, which are periodic solutions that…

Dynamical Systems · Mathematics 2022-10-06 Babette de Wolff

This work mainly investigates the mean-square stability and stabilizability for a single-input single-output networked linear feedback system. The control signal in the networked system is transmitted over an unreliable channel. In this…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Weizhou Su , Junhui Li , Jieying Lu

This paper addresses optimal feedback stabilizing control for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations, affected by state and process noise. Instead of directly stabilizing the uncertain system, we…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Mohammad Khajenejad

Feedback control in quantum transport has been predicted to give rise to several interesting effects, amongst them quantum state stabilisation and the realisation of a mesoscopic Maxwell's daemon. These results were derived under the…

Mesoscale and Nanoscale Physics · Physics 2013-10-07 Clive Emary

We study the stability properties of a control system composed of a dynamical plant and a feedback controller, the latter generating control signals that can be compromised by a malicious attacker. We consider two classes of feedback…

Optimization and Control · Mathematics 2023-12-19 Felipe Galarza-Jimenez , Gianluca Bianchin , Jorge I. Poveda , Emiliano Dall'Anese

Networks of globally coupled, noise activated, bistable elements with connection time delays are considered. The dynamics of these systems is studied numerically using a Langevin description and analytically using (1) a Gaussian…

Statistical Mechanics · Physics 2009-11-11 Daniel Huber , Lev Tsimring

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

Statistical Mechanics · Physics 2009-11-10 D. Huber , L. S. Tsimring

Given the cost and critical functions of satellite constellations, ensuring mission longevity and safe decommissioning is essential for space sustainability. This article presents a Model Predictive Control for spacecraft trajectory and…

Robotics · Computer Science 2025-09-03 Raphael Stöckner , Pedro Roque , Maria Charitidou , Dimos V. Dimarogonas

This work proposes a new procedure for the stabilization of time-delay systems using Static Output Feedback (SOF) control. A previous convex optimization approach to SOF for Ordinary Differential Equations (ODEs) is extended to time-delay…

Optimization and Control · Mathematics 2026-05-19 Danilo Braghini , Eduardo S. Tognetti , Matthew M. Peet

Discrete-time systems under aperiodic sampling may serve as a modeling abstraction for a multitude of problems arising in cyber-physical and networked control systems. Recently, model- and data-based stability conditions for such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Stefan Wildhagen , Julian Berberich , Matthias Hirche , Frank Allgöwer

This paper deals whith the stabilization of any UPO of a chaotic map by modulation of a control parameter. It concentrates on proportional and delayed feedback control methods. Alternative types of these methods are proposed and their…

Dynamical Systems · Mathematics 2016-05-24 Roberta Hansen , Graciela Adriana González

This paper presents a combined sliding-mode control and subspace stabilization methodology for orbital stabilization of periodic trajectories in underactuated mechanical systems with one degree of underactuation. The approach starts with…

Robotics · Computer Science 2025-12-05 Maksim Surov , Leonid Freidovich

We show that Pyragas delayed feedback control can stabilize an unstable periodic orbit (UPO) that arises from a generic subcritical Hopf bifurcation of a stable equilibrium in an n-dimensional dynamical system. This extends results of…

Chaotic Dynamics · Physics 2015-05-19 Genevieve Brown , Claire M. Postlethwaite , Mary Silber

Control of the motion of cavity solitons is one the central problems in nonlinear optical pattern formation. We report on the impact of the phase of the time-delayed optical feedback and carrier lifetime on the self-mobility of localized…

Pattern Formation and Solitons · Physics 2014-02-06 A. Pimenov , A. G. Vladimirov , S. V. Gurevich , K. Panajotov , G. Huyet , M. Tlidi

We study the synchronization and stability of power grids within the Kuramoto phase oscillator model with inertia with a bimodal frequency distribution representing the generators and the loads. We identify critical nodes through solitary…

Adaptation and Self-Organizing Systems · Physics 2019-12-18 Halgurd Taher , Simona Olmi , Eckehard Schöll

This paper introduces a novel stabilization control strategy for linear time-invariant systems affected by known time-varying measurement delays and matched unknown nonlinear disturbances, which may encompass actuator faults. It is…

Optimization and Control · Mathematics 2025-07-30 Hardy Pinto , Tiago Roux Oliveira , Liu Hsu

For a wide class of second order nonlinear non-autonomous models, we illustrate that combining proportional state control with the feedback that is proportional to the derivative of the chaotic signal, allows to stabilize unstable motions…

Dynamical Systems · Mathematics 2016-06-10 Leonid Berezansky , Elena Braverman , Lev Idels

This paper studies quantized control for discrete-time piecewise affine systems. For given stabilizing feedback controllers, we propose an encoding strategy for local stability. If the quantized state is near the boundaries of quantization…

Systems and Control · Computer Science 2015-09-07 Masashi Wakaiki , Yutaka Yamamoto

Impedance control is a well-established technique to control interaction forces in robotics. However, real implementations of impedance control with an inner loop may suffer from several limitations. Although common practice in designing…

Synchronisation and stability under periodic oscillatory driving are well-understood, but little is known about the effects of aperiodic driving, despite its abundance in nature. Here, we consider oscillators subject to driving with slowly…

Adaptation and Self-Organizing Systems · Physics 2018-05-09 Maxime Lucas , Julian Newman , Aneta Stefanovska