Showing math.NAShow all
3 papers · 1 filter
math.NA2025
Penalized Weighted Trace Minimization for Optimal Control Device Design and Placement
James Cheung
In this paper, we present a new analytical framework for determining the well-posedness of constrained optimization problems that arise in the study of optimal control device desig…
math.NA2023
Well-Posedness of the Bochner Integral Form of Operator-Valued Riccati Equations
James Cheung
In this short paper, we prove that the Bochner integral form of the operator-valued Riccati equation has a unique solution if and only if its mild form has a unique solution. This…
math.NA2023
On the Approximation of Operator-Valued Riccati Equations in Hilbert Spaces
James Cheung
In this work, we present an abstract theory for the approximation of operator-valued Riccati equations posed on Hilbert spaces. It is demonstrated here that the error of the approx…