3 papers
math.AP2026
Well-posedness and passivity for a class of bilinear control systems
Abdelhakim Dahmani, Hannes Gernandt, René Hosfeld +2
We study an abstract class of bilinear infinite-dimensional systems that arises in various applications, including district heating systems and quantum control. First, we analyze t…
math.OC2024
Linear-quadratic optimal control for abstract differential-algebraic equations
Hannes Gernandt, Timo Reis
In this paper, we extend a classical approach to linear quadratic (LQ) optimal control via Popov operators to abstract linear differential-algebraic equations (ADAEs) in Hilbert sp…
math.FA2023
A pseudo-resolvent approach to abstract differential-algebraic equations
Hannes Gernandt, Timo Reis
We study linear abstract differential-algebraic equations (ADAEs), and we introduce an index concept which is based on polynomial growth of a~pseudo-resolvent. Our approach to solv…