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  1. Delay Compensation of Neutral-Type Time-Delay Control Systems by Cascaded-Observers

    This paper is concerned with the input delay compensation problem for neutral-type systems with both state and input delays. Single/various...

    Article 20 May 2023
  2. Consensus Strategies for a Hegselmann–Krause Model with Leadership and Time Variable Time Delay

    We analyze Hegselmann-Krause opinion formation models with leadership in presence of time delay effects. In particular, we consider a model with a...

    Alessandro Paolucci, Cristina Pignotti in Journal of Dynamics and Differential Equations
    Article 15 June 2023
  3. Discontinuous Galerkin Time Step** for Semilinear Parabolic Problems with Time Constant Delay

    In this paper, a discontinuous Galerkin (DG) time step** method combined with the standard finite element method in space is proposed to solve a...

    **uxiu Xu, Qiumei Huang in Journal of Scientific Computing
    Article 05 July 2023
  4. Propagation Dynamics for Time–Space Periodic and Partially Degenerate Reaction–Diffusion Systems with Time Delay

    This paper is concerned with the propagation dynamics of a large class of time–space periodic and partially degenerate reaction–diffusion systems...

    Mingdi Huang, Shi-Liang Wu, **ao-Qiang Zhao in Journal of Dynamics and Differential Equations
    Article 27 August 2023
  5. Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control

    In this paper, we are concerned with the stabilization of hybrid stochastic systems with variable delay by discrete-time state feedback control. By...

    Wei Mao, **ao **ao, ... Liangjian Hu in Advances in Continuous and Discrete Models
    Article Open access 27 February 2023
  6. Model-Free Control of Time Delay Systems

    In this chapter, we present delay compensation schemes for the stabilization of time delay systems using reinforcement learning (RL). An extended...
    Chapter 2023
  7. Stability and Dynamics for Lamé System with Degenerate Memory and Time-Varying Delay

    For Lamé system with degenerate memory and nonlinear time-varying delay with some appropriate assumptions, the global well-posedness and asymptotic...

    Meng Hu, **n-Guang Yang, **yun Yuan in Applied Mathematics & Optimization
    Article 08 December 2023
  8. Numerical Analysis for a Singularly Perturbed Parabolic Differential Equation with a Time Delay

    Abstract

    In this work, we propose a numerical method for solving a singularly perturbed convection-diffusion problem that involves a time delay term....

    Sisay Ketema Tesfaye, Tekle Gemechu Dinka, ... Gemechis File Duressa in Computational Mathematics and Mathematical Physics
    Article 01 March 2024
  9. Fractional output stabilization of distributed bilinear systems with a time delay

    This research focuses on investigating the stabilization of fractional spatial output in bilinear systems with a time delay. In this study, we...

    Mustapha Benoudi, Rachid Larhrissi in Rendiconti del Circolo Matematico di Palermo Series 2
    Article 04 November 2023
  10. On the stability radius for linear time-delay systems

    The exponential function that appears in the formula of the stability radius of linear time-delay differential systems is approximated by its Padé...

    Alexander Malyshev, Miloud Sadkane in BIT Numerical Mathematics
    Article 30 January 2024
  11. Dynamical complexities with effect of additional food and harvesting in the time delay plankton-fish model

    In the present work, we have developed a plankton-fish model consisting time delay using functional response Holling type-II and linear harvesting....

    S. N. Raw, S. R. Sahu in SeMA Journal
    Article 03 November 2023
  12. Limiting behaviour of non-autonomous Caputo-type time-delay systems and initial-time on the real number line

    In many emerging scientific applications, the input of random initial time is often required for predicting and controlling the dynamics of...

    Bichitra Kumar Lenka, Swaroop Nandan Bora in Computational and Applied Mathematics
    Article 24 September 2023
  13. Robust spectral treatment for time-fractional delay partial differential equations

    Fractional delay differential equations (FDDEs) and time-fractional delay partial differential equations (TFDPDEs) are the focus of the present...

    M. M. Alsuyuti, E. H. Doha, ... S. S. Ezz-Eldien in Computational and Applied Mathematics
    Article Open access 19 April 2023
  14. Time delay recurrent neural networks via PID control law to complex dynamic systems

    This paper presents an extension to the theory on the analysis of stability of complex systems with time delay of fractional order; the previous...

    Jose P. Perez, Joel Perez P, ... Pablo Salinas Estevane in Boletín de la Sociedad Matemática Mexicana
    Article Open access 10 March 2024
  15. The ISS framework for time-delay systems: a survey

    At the occasion of Eduardo D. Sontag’s 70th birthday, we provide here an overview of the tools available to study input-to-state stability (ISS) and...

    Antoine Chaillet, Iasson Karafyllis, ... Yuan Wang in Mathematics of Control, Signals, and Systems
    Article 27 January 2023
  16. Existence Result and Exponential Stabilization of a Moving String with Time Dependent Delay in the Boundary Feedback

    This paper aims to study the impact of a time-varying delay on the behavior of boundary stabilzed moving system. Our study is based on a Kirchhoff...

    Abdelkarim Kelleche, Athmane Abdallaoui, ... Mohamed Houasni in International Journal of Applied and Computational Mathematics
    Article 20 May 2024
  17. An implicit nonlinear difference scheme for two-dimensional time-fractional Burgers’ equation with time delay

    In this paper, based on the L 1 discretization for the Caputo fractional derivative, a fully implicit nonlinear difference scheme with ( ...

    Mingcong **ao, Zhibo Wang, Yan Mo in Journal of Applied Mathematics and Computing
    Article 19 April 2023
  18. Strong Convergence and Asymptotic Exponential Stability of Modified Truncated EM Method for Neutral Stochastic Differential Equations with Time-dependent Delay

    In this paper, we consider asymptotic exponential stability of the exact solution and the corresponding modified truncated EM (MTEM) method for...

    Guangqiang Lan, Ge Wang in Frontiers of Mathematics
    Article 01 November 2023
  19. Analysis of Online Misinformation Spread Model Incorporating External Noise and Time Delay and Control of Media Effort

    In this article, we have extended the traditional Susceptible-Exposed-Infected-Recovered (SEIR) model to study the dynamics of propagation of online...

    Moumita Ghosh, Pritha Das in Differential Equations and Dynamical Systems
    Article 13 October 2023
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