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In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be…

Adaptation and Self-Organizing Systems · Physics 2018-03-30 David J. Jörg , Luis G. Morelli , Saúl Ares , Frank Jülicher

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

In a network of dynamical systems, concurrent synchronization is a regime where multiple groups of fully synchronized elements coexist. In the brain, concurrent synchronization may occur at several scales, with multiple ``rhythms''…

Neurons and Cognition · Quantitative Biology 2007-05-23 Quang-Cuong Pham , Jean-Jacques Slotine

In digital circuits, metastability can cause deteriorated signals that neither are logical 0 or logical 1, breaking the abstraction of Boolean logic. Unfortunately, any way of reading a signal from an unsynchronized clock domain or…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-31 Stephan Friedrichs , Matthias Függer , Christoph Lenzen

In digital circuit designs, sequential components such as flip-flops are used to synchronize signal propagations. Logic computations are aligned at and thus isolated by flip-flop stages. Although this fully synchronous style can reduce…

Hardware Architecture · Computer Science 2022-03-11 Grace Li Zhang , Bing Li , Xing Huang , Xunzhao Yin , Cheng Zhuo , Masanori Hashimoto , Ulf Schlichtmann

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

An optoelectronic oscillator exhibiting a large delay in its feedback loop is studied both experimentally and theoretically. We show that multiple square-wave oscillations may coexist for the same values of the parameters…

Optics · Physics 2015-01-14 Lionel Weicker , Thomas Erneux , David P. Rosin , Daniel J. Gauthier

This paper studies robustness of MIMO control systems with parametric uncertainties, and establishes a lower dimensional robust stability criterion. For control systems with interval transfer matrices, we identify the minimal testing set…

Statistics Theory · Mathematics 2007-06-13 Long Wang

We present and experimentally demonstrate a technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying. At each…

This paper studies the performance of a feedback control loop closed via an error-free digital communication channel with transmission delay. The system comprises a discrete-time noisy linear time-invariant (LTI) plant whose single…

Systems and Control · Computer Science 2018-09-05 M. Barforooshan , M. S. Derpich , P. A. Stavrou , J. Østergaard

We derive novel criteria for designing stabilizing dynamic output-feedback controllers for a class of aperiodic impulsive systems subject to a range dwell-time condition. Our synthesis conditions are formulated as clock-dependent linear…

Optimization and Control · Mathematics 2022-05-12 Tobias Holicki , Carsten W. Scherer

The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system of the coupled phase oscillators may be used to determine…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Kaihua Xi , Zhen Wang , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen , Chenghui Zhang

We propose a stochastic model predictive control (MPC) framework for linear systems subject to joint-in-time chance constraints under unknown disturbance distributions. Unlike existing approaches that rely on parametric or Gaussian…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lukas Vogel , Andrea Carron , Eleftherios E. Vlahakis , Dimos V. Dimarogonas

A method of stabilizing 2-cycles in discrete dynamic systems by Delayed Feedback Control is developed by using classic Harmonic Analysis.

Dynamical Systems · Mathematics 2013-07-30 D. Dmitrishin , A. Khamitova , A. Korenovskyi , A. Stokolos

Complex systems, such as biological networks, often exhibit intricate rhythmic behaviors that emerge from simple, small-amplitude dynamics in individual components. This study explores how significant oscillatory signals can arise from a…

Adaptation and Self-Organizing Systems · Physics 2025-08-05 Kenta Ohira , Toru Ohira , Hideki Ohira

In the semiconductor manufacturing batch processes, each step is a complicated physiochemical batch process; generally it is difficult to perform measurements online or carry out the measurement for each run, and hence there will be delays…

Systems and Control · Computer Science 2015-11-02 Bing Ai , David Shan-Hill Wong , Shi-Shang Jang

Controlling complex dynamical systems has been a topic of considerable interest in academic circles in recent decades. While existing works have primarily focused on closed-loop control schemes with infinite-time durations, this paper…

Optimization and Control · Mathematics 2025-01-08 Xiaoxiao Peng , Shijie Zhou

Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires…

Chaotic Dynamics · Physics 2014-05-06 Yulia P. Emelianova , Valeriy V. Emelyanov , Nikita M. Ryskin

We present an event-triggered control strategy for stabilizing a scalar, continuous-time, time-invariant, linear system over a digital communication channel having bounded delay, and in the presence of bounded system disturbance. We propose…

Optimization and Control · Mathematics 2018-01-29 Mohammad Javad Khojasteh , Mojtaba Hedayatpour , Jorge Cortes , Massimo Franceschetti

In this paper, the feedback stabilization of a linear time-invariant (LTI) multiple-input multiple-output (MIMO) system cascaded by a linear stochastic system is studied in the mean-square sense. Here, the linear stochastic system can model…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Junhui Li , Jieying Lu , Weizhou Su