Stabilization of multi-rotation unstable periodic orbits through dynamic extended delayed feedback control

YG Zheng, JL Yu - Chaos, Solitons & Fractals, 2022 - Elsevier
The dynamic extended delayed feedback control (DEDFC) is developed to stabilize multi-
rotation unstable periodic orbits (UPOs). The multi-rotation UPO here refers to the UPO that …

Controlling Chaos in Van Der Pol Dynamics Using Signal-Encoded Deep Learning

H Zhai, T Sands - Mathematics, 2022 - mdpi.com
Controlling nonlinear dynamics is a long-standing problem in engineering. Harnessing
known physical information to accelerate or constrain stochastic learning pursues a new …

L p optimal feedback control of homoclinic bifurcation in a forced Duffing oscillator

V Piccirillo - Nonlinear Dynamics, 2023 - Springer
This paper proposes an L p optimal control method to shift the homoclinic bifurcation of
single-degree-of-freedom nonlinear oscillators. The homoclinic intersection between stable …

Stabilization of periodic oscillations with transient delayed feedback control

YG Zheng, YY Zhang - Journal of the Franklin Institute, 2021 - Elsevier
Transient delayed feedback control is proposed by applying the transient control technique
to the original delayed feedback control, with the aim of enlarging the stable region of the …

H Control of the Actively Controlled Systems with Input Time Delay Based on CHsCTA Model Transformation

Y Zheng, Y Zhao - IEEE Access, 2024 - ieeexplore.ieee.org
This study addresses the control design problem for actively controlled systems with input
time delay. A novel control algorithm is proposed to derive the controller. The core concept …

时变切换时滞反馈镇定混沌系统不稳定周期轨线

曾尖尖, 郑远广 - 力学学报, 2022 - lxxb.cstam.org.cn
为提高经典时滞反馈控制镇定不稳定周期轨线的效果, 扩大受控周期轨线的稳定区域,
本文基于时变切换策略对经典时滞反馈控制进行改进, 提出了时变切换时滞反馈控制 …

Multigrid-in-time preconditioners for KKT systems

R Vuchkov, EC Cyr, D Ridzal - arXiv preprint arXiv:2405.04808, 2024 - arxiv.org
We develop multigrid-in-time preconditioners for Karush-Kuhn-Tucker (KKT) systems that
arise in the solution of time-dependent optimization problems. We focus on a specific …

Stabilization of periodic orbits of discrete-time dynamical systems using the Prediction-Based Control: New control law and practical aspects

TP Chagas, PA Bliman, KH Kienitz - Journal of The Franklin Institute, 2018 - Elsevier
This paper tackles in the stabilization of periodic orbits of nonlinear discrete-time dynamical
systems with chaotic sets. The problem is approximated locally to the stabilization of linear …

STABILIZING UNSTABLE PERIODIC TRAJECTORIES OF CHAOTIC SYSTEMS WITH TIME-VARYING SWITCHING DELAYED FEEDBACK CONTROL

Z Jianjian, Z Yuanguang - Chinese Journal of Theoretical and …, 2022 - lxxb.cstam.org.cn
In order to improve the effect of the classical delayed feedback control in stabilizing the
unstable periodic trajectory and expand the stability region, the time-varying switching …

Static-Output-Feedback Robust $ H_\Infty $ Control for Actively Controlled Systems Considering Uncertain Input Time Delay

YG Zheng, W Chen, Y Shao - Available at SSRN 4972719 - papers.ssrn.com
This paper addresses the static output feedback control problem for systems with uncertain
input time delay and proposes a robust control method that ensures $ H_\infty …