Reliably computing all characteristic roots of delay differential equations in a given right half plane using a spectral method
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Publication:765302
DOI10.1016/j.cam.2011.12.009zbMath1237.65065OpenAlexW2018057661MaRDI QIDQ765302
Publication date: 19 March 2012
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2011.12.009
numerical exampleseigenvalue problemdelay differential equationscharacteristic rootspectral discretizationrational approximation of exponential functions
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Uses Software
Cites Work
- On the Chebyshev spectral continuous time approximation for constant and periodic delay differential equations
- A predictor-corrector type algorithm for the pseudospectral abscissa computation of time-delay systems
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Introduction to functional differential equations
- Delay effects on stability. A robust control approach
- Delay equations. Functional-, complex-, and nonlinear analysis
- Efficient computation of characteristic roots of delay differential equations using LMS methods
- Solution operator approximations for characteristic roots of delay differential equations
- Computing the characteristic roots for delay differential equations
- Spectral Methods in MATLAB
- On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations
- Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros
- A Krylov Method for the Delay Eigenvalue Problem
- Stability and Stabilization of Time-Delay Systems
- Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
- Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
- Stability of time-delay systems
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