Discontinuity propagation in delay differential-algebraic equations

zbMath1417.34188arXiv1803.04510MaRDI QIDQ4615403

Benjamin Unger

Publication date: 28 January 2019

Full work available at URL: https://arxiv.org/abs/1803.04510

zbMATH Keywords

exponential stabilitydifferential-algebraic equationsclassification of DDAEsdelay differential-algebraic equationssplicing conditionsprimary discontinuities

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Linear functional-differential equations (34K06) Implicit functional-differential equations (34K32)

Related Items (7)

Modeling active optical networks ⋮ On convergence of continuous half-explicit Runge-Kutta methods for a class of delay differential-algebraic equations ⋮ A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs ⋮ Lyapunov-based stability of delayed linear differential algebraic systems ⋮ Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities ⋮ Asymptotic stability analysis of Runge-Kutta methods for differential-algebraic equations with multiple delays ⋮ Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems

Uses Software

• DDE-BIFTOOL

Cites Work

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• Applied Delay Differential Equations
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Linear delay-differential systems with commensurate delays: an algebraic approach

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