Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces

KL Xu, YL Jiang, Z Li, L Li - Linear Algebra and its Applications, 2023 - Elsevier
In this paper, we present an efficient model reduction method for discrete time-delay systems
based on the expansions of systems under Charlier polynomials. Making full use of the …

[HTML][HTML] Match-based solution of general parametric eigenvalue problems

D Pradovera, A Borghi - Journal of Computational Physics, 2024 - Elsevier
We describe a novel algorithm for solving general parametric (nonlinear) eigenvalue
problems. Our method has two steps: first, high-accuracy solutions of non-parametric …

Representation of PDE Systems with Delay and Stability Analysis using Convex Optimization

DS Jagt, MM Peet - arXiv preprint arXiv:2211.05326, 2022 - arxiv.org
Partial Integral Equations (PIEs) have been used to represent both systems with delay and
systems of Partial Differential Equations (PDEs) in one or two spatial dimensions. In this …

[PDF][PDF] A computational technique for solving singularly perturbed delay partial differential equations

B Gürbüz - Foundations of computing and decision sciences, 2021 - sciendo.com
In this work, a matrix method based on Laguerre series to solve singularly perturbed second
order delay parabolic convection-diffusion and reactiondiffusion type problems involving …

Representation of PDE Systems With Delay and Stability Analysis Using Convex Optimization

S Declan, JMM Peet - IEEE Control Systems Letters, 2023 - ieeexplore.ieee.org
Partial Integral Equations (PIEs) have been used to represent both systems with delay and
systems of Partial Differential Equations (PDEs) in one or two spatial dimensions. In this …

[PDF][PDF] Representation of PDE Systems With Delay and Stability Analysis Using Convex Optimization

DS Jagt, MM Peet - IEEE Control Systems Letters, 2023 - par.nsf.gov
Partial Integral Equations (PIEs) have been used to represent both systems with delay and
systems of Partial Differential Equations (PDEs) in one or two spatial dimensions. In this …

Stability analysis and controller design for the heat equation with time delayed feedback

SY Çalışkan - 2010 - search.proquest.com
In this thesis, the stability analysis for the system defined by the heat equation with time
delayed feedback is performed. In the first part of the thesis, stability conditions in terms of …