Hyperbolicity of linear partial differential equations with delay
Andr\'as B\'atkai
TL;DR
This paper investigates the hyperbolic nature and stability of linear PDEs with delay, analyzing how small delays influence the long-term behavior of feedback systems.
Contribution
It provides new robustness and stability results for delayed linear PDEs and examines the impact of small delays on feedback system asymptotics.
Findings
Robust hyperbolicity results established for delayed PDEs
Small delays can significantly affect feedback system stability
Asymptotic properties are sensitive to delay variations
Abstract
Robust hyperbolicity and stability results for linear partial differential equations with delay will be given and, as an application, the effect of small delays to the asymptotic properties of feedback systems will be analyzed.
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