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math.FA2026
Dissipative Hamiltonian representations of linear evolution equations
Volker Mehrmann, Timo Reis
We investigate explicit and implicit dissipative Hamiltonian representations of generators of strongly continuous semigroups on real or complex Hilbert spaces. For a prescribed pos…
math.FA2024
Spectral theory of infinite dimensional dissipative Hamiltonian systems
Christian Mehl, Volker Mehrmann, Michał Wojtylak
The spectral theory for operator pencils and operator differential-algebraic equations is studied. Special focus is laid on singular operator pencils and three different concepts o…
math.FA2023★ 1 cited
Abstract dissipative Hamiltonian differential-algebraic equations are everywhere
Volker Mehrmann, Hans Zwart
In this paper we study the representation of partial differential equations (PDEs) as abstract differential-algebraic equations (DAEs) with dissipative Hamiltonian structure (adHDA…