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Nonlinear controlled port-Hamiltonian systems: Existence of (optimal) solutions
Willem Esterhuizen, Bernhard Maschke, Till Preuster +2
We investigate the existence of solutions of reversible and irreversible port-Hamilto\-nian systems. To this end, we utilize the associated exergy, a function that is composed of t…
Port-Hamiltonian structures in infinite-dimensional optimal control: Primal-Dual gradient method and control-by-interconnection
Hannes Gernandt, Manuel Schaller
In this note, we consider port-Hamiltonian structures in numerical optimal control of ordinary differential equations. By introducing a novel class of nonlinear monotone port-Hamil…
Goal-oriented time adaptivity for port-Hamiltonian systems
Andreas Bartel, Manuel Schaller
Port-Hamiltonian systems provide an energy-based modeling paradigm for dynamical input-state-output systems. At their core, they fulfill an energy balance relating stored, dissipat…
Jet space extensions of infinite-dimensional Hamiltonian systems
Till Preuster, Manuel Schaller, Bernhard Maschke
We analyze infinite-dimensional Hamiltonian systems corresponding to partial differential equations on one-dimensional spatial domains formulated with formally skew-adjoint Hamilto…