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math.OC2026
Active Disturbance Rejection for Boundary Control Systems
Jukka-Pekka Humaloja, Lassi Paunonen
We consider stabilisation of abstract boundary control systems and controlled partial differential equations with general unknown input disturbances and unmodeled nonlinearities at…
math.OC2026
Dynamic Stabilisation of Boundary Control Systems
Mohamed Fkirine, Lassi Paunonen
We design observer-based controllers to stabilise abstract linear boundary control systems on Hilbert spaces. Our main results introduce conditions for exponential, strong, and pol…
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…