3 papers
math.OC2019
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…
math.OC2018
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…
math.OC2018
Approximate controllability for Navier--Stokes equations in {\rm 3D} Cylinders under Lions boundary conditions by an explicit saturating set
Duy Phan
An explicit saturating set consisting of eigenfunctions of Stokes operator in general 3D Cylinders is proposed. The existence of saturating sets implies the approximate controllabi…