Robust stability of \(C_0\)-semigroups and an application to stability of delay equations

DOI10.1006/JMAA.1998.6077zbMath0928.47033OpenAlexW2076419026MaRDI QIDQ1268739

J. M. A. M. van Neerven, Andreas Fischer

Publication date: 4 January 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6077

zbMATH Keywords

generatorexponential stability\(C_0\)-semigroupstability radiuscontrol and observation operatorsequations with several discrete delays

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Adaptive or robust stabilization (93D21) Functional-differential equations in abstract spaces (34K30) (C)-semigroups, regularized semigroups (47D60)

Related Items (12)

Stability radii of differential-algebraic equations with respect to stochastic perturbations ⋮ Eventual differentiability of functional differential equations in Banach spaces ⋮ Stability radii for linear time-varying differential-algebraic equations with respect to dynamic perturbations ⋮ STABILITY RADII FOR IMPLICIT DIFFERENCE EQUATIONS ⋮ Robust stability of delay equations in \(L^{p}([-h,0;X)\) under parameter perturbations] ⋮ An estimation of level sets for non local KPP equations with delay ⋮ Stability radius of non-smooth Pritchard-Salamon systems and the algebraic Riccati equation ⋮ Robust stability of delay difference systems under fractional perturbations in infinite-dimensional spaces ⋮ Robust stability and robust stabilizability for periodically switched linear systems ⋮ Semigroups and linear partial differential equations with delay ⋮ Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces ⋮ Stability radii of positive higher order difference system in infinite dimensional spaces

Cites Work

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• Linear Functional Differential Equations as Semigroups on Product Spaces
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• Spectral Theory for Contraction Semigroups on Hilbert Space
• Robust Stability of Linear Evolution Operators on Banach Spaces

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