boundary control 1impedance passive systems 1infinite-dimensional control 1input saturation 1output regulation 1partial differential equations 1
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math.AP2026
Optimal energy decay rates for Klein-Gordon equations with Kelvin-Voigt damping
Filippo Dell'Oro, Lassi Paunonen, David Seifert
We study the long-time behaviour of solutions to a one-dimensional linear Klein-Gordon equation with Kelvin-Voigt damping. One of the interesting features of the equation is that t…
math.AP2025
Polynomial stability of a coupled wave-heat network
Lassi Paunonen, David Seifert
We study the long-time asymptotic behaviour of a topologically non-trivial network of wave and heat equations. By analysing the simpler wave and the heat networks separately, and t…
math.AP2024
Admissibility theory in abstract Sobolev scales and transfer function growth at high frequencies
Lassi Paunonen, David Seifert, Nicolas Vanspranghe
For strongly continous semigroups on Hilbert spaces, we investigate admissibility properties of control and observation operators shifted along continuous scales of spaces built by…