Port-Hamiltonian Modeling of Systems with Position-Dependent Mass

Port-Hamiltonian Modeling of Systems with Position-Dependent Mass

It is known that straightforward application of the classical Lagrangian and Hamiltonian formalism to systems with mass varying explicitly with position may lead to discrepancies in the formulation of the equations of motion. Systems with mass varying explicitly with position often arise from situations where the partitioning of a closed system of constant mass leads to open subsystems that exc...

Network Modeling and Control of Physical Systems, DISC Theory of Port-Hamiltonian systems Chapter 2: Control of Port-Hamiltonian systems

Port-based network modeling of physical systems directly leads to their representation as portHamiltonian systems. Key feature of port-Hamiltonian systems is that the power-conserving interconnection of port-Hamiltonian systems results in another port-Hamiltonian system, with total state space the product of the state spaces of the components, total Hamiltonian being the sum of the Hamiltonian ...

Discrete port-Hamiltonian systems

Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems...

Distributed-Parameter Port-Hamiltonian Systems

Port-Hamiltonian Systems on Graphs

In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as portHamiltonian systems on open graphs. Basic idea is to associate with the incidence matrix of the graph a Dirac structure relating the flow and effort variables associated to the edges, internal vertices, as well as boundary vertices of the graph, and to formulate energy...