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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...
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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...
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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...
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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...
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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...
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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... -
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...
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Numerical Analysis for a Singularly Perturbed Parabolic Differential Equation with a Time Delay
AbstractIn this work, we propose a numerical method for solving a singularly perturbed convection-diffusion problem that involves a time delay term....
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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...
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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...
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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....
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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...
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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...
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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...
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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...
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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...
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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 (
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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...
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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...