22 citations · 36 across the 26 of their papers we have counts for
5 papers · 1 filter
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…
A geometric framework for discrete time port-Hamiltonian systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +1
Port-Hamiltonian systems provide an energy-based formulation with a model class that is closed under structure preserving interconnection. For continuous-time systems these interco…
Feedback rectifiable pairs and stabilization of switched linear systems
Maria C. Honecker, Hannes Gernandt, Kai Wulff +2
We address the feedback design problem for switched linear systems. In particular we aim to design a switched state-feedback such that the resulting closed-loop subsystems share th…
On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems
Hannes Gernandt, Friedrich Philipp, Till Preuster +1
We prove a one-to-one correspondence between the geometric formulation of port-Hamiltonian (pH) systems defined by Dirac structures, Lagrange structures, maximal resistive structur…
On discrete-time dissipative port-Hamiltonian (descriptor) systems
Karim Cherifi, Hannes Gernandt, Dorothea Hinsen +1
Port-Hamiltonian (pH) systems have been studied extensively for linear continuous-time dynamical systems. This manuscript presents a discrete-time pH descriptor formulation for lin…