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This paper presents the analysis of the stability properties of PID controllers for dynamical systems with multiple state delays, focusing on the mathematical characterization of the potential sensitivity of stability with respect to…

Optimization and Control · Mathematics 2020-09-08 Pieter Appeltans , Silviu-Iulian Niculescu , Wim Michiels

This paper studies optimal control and stabilization problems for continuous-time mean-field systems with input delay, which are the fundamental development of control and stabilization problems for mean-field systems. There are two main…

Optimization and Control · Mathematics 2020-10-19 Xiao Ma , Qingyuan Qi , Xun Li , Huanshui Zhang

This work studies remote state estimation of multiple linear time-invariant systems over shared wireless time-varying communication channels. We model the channel states by a semi-Markov process which captures both the random holding period…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Wanchun Liu , Daniel E. Quevedo , Branka Vucetic , Yonghui Li

Optical feedback is a well-known method of controlling laser dynamics, which has been widely studied in photonic systems to induce complex behaviors such as chaos or enhanced coherence. However, its application to systems in the strong…

Optics · Physics 2025-07-29 R. Mirek , M. Furman , A. Opala , M. Król , W. Pacuski , J. Szczytko , H. Sigurðsson , B. Piętka

We report the first experimental observation of discrete time-crystal phases and crystallites in an actively mode-locked semiconductor laser. By tuning either the bias current or the modulation frequency, the system undergoes a spontaneous…

New methods are developed for the stabilization of a linear system with general time-varying distributed delays existing at the system's states, inputs and outputs. In contrast to most existing literature where the function of time-varying…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Qian Feng , Sing Kiong Nguang , Wilfrid Perruquetti

This work studies the design problem of feedback stabilizers for discrete-time systems with input delays. A backstepping procedure is proposed for disturbance-free discrete-time systems. The feedback law designed by using backstepping…

Optimization and Control · Mathematics 2012-12-05 Iasson Karafyllis , Miroslav Krstic

For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly…

Optimization and Control · Mathematics 2009-10-19 Billy J. Jackson , John M. Davis , Ian A. Gravagne , Robert J. Marks

We theoretically study chaos synchronization of two lasers which are delay-coupled via an active or a passive relay. While the lasers are synchronized, their dynamics is identical to a single laser with delayed feedback for a passive relay…

Chaotic Dynamics · Physics 2010-11-22 V. Flunkert , O. D'Huys , J. Danckaert , I. Fischer , E. Schoell

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

Two qualitatively different kinds of resonant destabilization of phonon stimulated emission (SE) are experimentally revealed for periodically forced multimode ruby phaser (phonon laser) operating at SE frequencies about 9 GHz, i.e. at…

Other Condensed Matter · Physics 2007-05-23 D. N. Makovetskii

We evaluate the transient response of an optically tunable meta-atom composed of an electric inductor-capacitor resonator that is loaded with a piece of high-resistivity silicon and perform a proof-of-concept experiment to demonstrate the…

Optics · Physics 2020-08-03 Yasuhiro Tamayama , Kengo Kanari

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback. Such a control scheme requires knowledge of the systems' parameters. For the first time we…

Chaotic Dynamics · Physics 2007-05-23 E. M. Shahverdiev , R. A. Nuriev , R. H. Hashimov , K. A. Shore

In this paper, we investigate the estimator-based output feedback control problem of multi-delay systems. This work is an extension of recently developed operator-value LMI framework for infinite-dimensional time-delay systems. Based on the…

Optimization and Control · Mathematics 2019-09-16 Shuangshuang Wu , Matthew M. Peet , Changchun Hua

We have implemented a simple and cost-effective digital system for long-term frequency stabilisation and locking to an arbitrary wavelength of the single-frequency ring CW Ti:Sapphire laser. This system is built around two confocal…

We present a compact laser frequency stabilization method by locking a 556 nm laser to a high-precision wavelength meter. Unlike traditional schemes that rely on optical cavities or atomic references, we stabilize the laser frequency via a…

Optics · Physics 2025-06-27 Mengde Gan , Haoyi Zhang , Xiaodong Tan , Jiaming Li , Le Luo

We have studied theoretically the basic operation of a quantum feedback loop designed to maintain a desired phase of quantum coherent oscillations in a single solid-state qubit. The degree of oscillations synchronization with external…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Rusko Ruskov , Alexander N. Korotkov

We study theoretically the non linear polarization dynamics of Vertical-Cavity Surface-Emitting Lasers in the presence of an external cavity providing delayed optical feedback and cross polarization re-injection. We show that far from the…

Optics · Physics 2014-08-27 J. Javaloyes , M. Marconi , M. Giudici

We develop a stabilization strategy of turning processes by means of delayed spindle control. We show that turning processes which contain intrinsic state-dependent delays can be stabilized by a spindle control with state-dependent delay,…

Dynamical Systems · Mathematics 2018-06-14 Qingwen Hu , Huan Zhang

The influence of optical feedback on semiconductor lasers has been a widely studied field of research due to fundamental interests as well as the optimization of optical data transmission and computing. Recent publications have shown that…

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