Polynomial Chaos Expansions for the Stability Analysis of Uncertain Delay Differential Equations

DOI10.1137/15M1029618zbMath1416.65225OpenAlexW2603200251MaRDI QIDQ5269864

Rossana Vermiglio

Publication date: 28 June 2017

Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1029618

zbMATH Keywords

stability analysispolynomial chaos expansionsuncertain delay differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for functional-differential equations (65L03)

Related Items (6)

15 Years or So of Pseudospectral Collocation Methods for Stability and Bifurcation of Delay Equations ⋮ Sensitivity Analysis for Stability of Uncertain Delay Differential Equations Using Polynomial Chaos Expansions ⋮ Robust stability optimization for linear delay systems in a probabilistic framework ⋮ Almost sure and pth moment stability of uncertain differential equations with time-varying delay ⋮ PC-Based Sensitivity Analysis of the Basic Reproduction Number of Population and Epidemic Models ⋮ Polynomial (chaos) approximation of maximum eigenvalue functions. Efficiency and limitations

Uses Software

• DDE-BIFTOOL

Cites Work

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