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This paper is concerned with the output feedback boundary stabilization of general 1-D reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the cases of Dirichlet/Neumann/Robin boundary conditions for the…

Optimization and Control · Mathematics 2022-07-13 Hugo Lhachemi , Christophe Prieur

Difference control schemes for controlling unstable fixed points become important if the exact position of the fixed point is unavailable or moving due to drifting parameters. We propose a memory difference control method for stabilization…

Chaotic Dynamics · Physics 2007-05-23 Jens Christian Claussen , Thorsten Mausbach , Alexander Piel , Heinz Georg Schuster

We analyse and compare several algorithms to compute numerically periodic solutions of high-dimensional dynamical systems and investigate their Floquet stability without building the monodromy matrix. The solution and its perturbation are…

Fluid Dynamics · Physics 2025-06-17 Artur Gesla , Yohann Duguet , Patrick Le Quéré , Laurent Martin Witkowski

The chaotic dynamics of directly modulated semiconductor lasers with delayed optoelectronic feedback is studied numerically. The effects of positive and negative delayed optoelectronic feedback in producing chaotic outputs from such lasers…

Chaotic Dynamics · Physics 2009-11-13 Bindu M. Krishna , Manu. P. John , V. M. Nandakumaran

The continuous-time analysis of existing iterative algorithms for optimization has a long history. This work proposes a novel continuous-time control-theoretic framework for equality-constrained optimization. The key idea is to design a…

Optimization and Control · Mathematics 2026-02-02 V. Cerone , S. M. Fosson , S. Pirrera , D. Regruto

In this paper we characterize the output feedback stabilization of some coupled systems with delay. The proof of the main result uses the method introduced in Ammari and Tucsnak \cite{at} where the exponential stability for the closed loop…

Analysis of PDEs · Mathematics 2010-10-19 E. M. Ait Benhassi , K. Ammari , S. Boulite , L. Maniar

In this paper we address the question how the control of delayed measured chaotic systems can be improved. Both unmodified OGY control and difference control can be successfully applied only for a certain range of Lyapunov numbers depending…

chao-dyn · Physics 2007-05-23 Jens Christian Claussen , Heinz Georg Schuster

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

Feedback controlled ratchets are thermal rectifiers that use information on the state of the system to operate. We study the effects of time delays in the feedback for a protocol that performs an instantaneous maximization of the…

Statistical Mechanics · Physics 2008-04-13 F. J. Cao , M. Feito

Robust delay induced oscillations, common in nature, are often modeled by delay-differential equations (DDEs). Motivated by the success of phase-amplitude reductions for ordinary differential equations with limit cycle oscillations, there…

Dynamical Systems · Mathematics 2024-04-29 Rachel Nicks , Robert Allen , Stephen Coombes

This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based on a Lyapunov-Krasovskii type input-to-state stability result, we propose a novel event-triggered control algorithm that works as…

Optimization and Control · Mathematics 2022-12-16 Kexue Zhang , Elena Braverman , Bahman Gharesifard

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

Periodically driven quantum systems exhibit many fascinating phenomena absent in equilibrium systems, but their simulation is more challenging than that of static systems. Consequently, quantum simulation of these systems offers greater…

Quantum Physics · Physics 2025-06-03 Abhishek Kumar , Karunya Shirali , Nicholas J. Mayhall , Sophia E. Economou , Edwin Barnes

Feedback-based quantum algorithms have recently emerged as potential methods for approximating the ground states of Hamiltonians. One such algorithm, the feedback-based algorithm for quantum optimization (FALQON), is specifically designed…

Quantum Physics · Physics 2025-08-18 Salahuddin Abdul Rahman , Özkan Karabacak , Rafal Wisniewski

This paper presents a control methodology for achieving orbital stabilization with simultaneous time synchronization of periodic trajectories in underactuated robotic systems. The proposed approach extends the classical transverse…

Robotics · Computer Science 2025-09-25 Surov Maksim

In the present work, sufficient conditions for global stabilization of nonlinear uncertain systems by means of discrete-delay static output feedback are presented. Illustrating examples show the efficiency of the proposed control strategy.

Optimization and Control · Mathematics 2008-02-29 Iasson Karafyllis

We design a new feedback law to stabilize a linear infinite-dimensional control system, where the state operator generates a C0-group and the control operator is unbounded. Our feedback law is based on the integration of a mutated Gramian…

Optimization and Control · Mathematics 2022-05-19 Yaxing Ma , Gengsheng Wang , Huaiqiang Yu

We propose a new best-of-both-worlds algorithm for bandits with variably delayed feedback. In contrast to prior work, which required prior knowledge of the maximal delay $d_{\mathrm{max}}$ and had a linear dependence of the regret on it,…

Machine Learning · Computer Science 2024-05-29 Saeed Masoudian , Julian Zimmert , Yevgeny Seldin

This paper studies the exponential stabilization on infinite dimensional system with impulse controls, where impulse instants appear periodically. The first main result shows that exponential stabilizability of the control system with a…

Optimization and Control · Mathematics 2021-05-13 Qishu Yan , Huaiqiang Yu

This paper deals with the backstepping design of observer-based compensators for parabolic ODE-PDE-ODE systems. The latter consist of n coupled parabolic PDEs with distinct diffusion coefficients and spatially-varying coefficients, that are…

Systems and Control · Electrical Eng. & Systems 2020-08-28 Joachim Deutscher , Nicole Gehring