Structure and Stability of Finite Dimensional Approximations for Functional Differential Equations

DOI10.1137/0323053zbMath0578.34051OpenAlexW2083078628MaRDI QIDQ3700099

Dietmar A. Salamon

Publication date: 1985

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0323053

zbMATH Keywords

uniform stabilityfunctional differential equationslinear retarded functional differential equationsaveraging approximation schemestructural operatorsaveraging approximation

Mathematics Subject Classification ID

Numerical investigation of stability of solutions to ordinary differential equations (65L07) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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Stability preserving spline approximations for scalar functional differential equations ⋮ Well-posedness of optimal actuator and damping design with application to quadratic performance measures ⋮ A uniformly differentiable approximation scheme for delay systems using splines ⋮ Two families of approximation schemes for delay systems ⋮ On the design of a stable adaptive filter for state estimation in high dimensional systems ⋮ Renorming for stability and approximation of linear systems: examples ⋮ Structure theory and duality for the time varying retarded functional differential equations ⋮ Spline approximation for systems of linear neutral delay-differential equations ⋮ Discretisation of an infinite delay equation ⋮ Polynomial Chaos Expansions for the Stability Analysis of Uncertain Delay Differential Equations

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