5 papers
Asymptotics and approximation of large systems of ordinary differential equations
Lassi Paunonen, David Seifert
In this paper we continue our earlier investigations into the asymptotic behaviour of infinite systems of coupled differential equations. Under the mild assumption that the so-call…
Finite-Dimensional Controllers for Robust Regulation of Boundary Control Systems
Duy Phan, Lassi Paunonen
We study the robust output regulation of linear boundary control systems by constructing extended systems. The extended systems are established based on solving static differential…
Introduction to "RORPack": A Python Software Library for Robust Output Regulation
Lassi Paunonen
This document contains the mathematical introduction to RORPack - a Python software library for robust output tracking and disturbance rejection for linear PDE systems. The RORPack…
Reduced Order Controller Design for Robust Output Regulation
Lassi Paunonen, Duy Phan
We study robust output regulation for parabolic partial differential equations and other infinite-dimensional linear systems with analytic semigroups. As our main results we show t…
Optimal energy decay for the wave-heat system on a rectangular domain
Charles Batty, Lassi Paunonen, David Seifert
We study the rate of energy decay for solutions of a coupled wave-heat system on a rectangular domain. Using techniques from the theory of -semigroups, and in particular a wel…