An up-to-date survey of the theory of port-Hamiltonian systems is given, emphasizing novel
developments and relationships with other formalisms. Port-Hamiltonian systems theory …

The port-Hamiltonian (pH) theory for distributed parameter systems has developed greatly in
the past two decades. The theory has been successfully extended from finite-dimensional to …

We discuss the modelling framework of port-Hamiltonian descriptor systems and their use in
numerical simulation and control. The structure is ideal for automated network-based …

In this chapter we present a state space interpretation of the small gain and passivity
approach of the previous chapter. Moreover, we will come to some kind of synthesis …

Energy exchange is a major foundation of the dynamics of physical systems, and, hence, in
the study of complex multi-domain systems, methodologies that explicitly describe the …

The modeling framework of port-Hamiltonian systems is systematically extended to linear
constrained dynamical systems (descriptor systems, differential-algebraic equations) of …

Associated with a skew-symmetric linear operator on the spatial domain a,b we define a
Dirac structure which includes the port variables on the boundary of this spatial domain. This …

The theory of port-Hamiltonian systems provides a framework for the geometric description
of network models of physical systems. It turns out that port-based network models of …

In this paper we present a unifying geometric and compositional framework for modeling
complex physical network dynamics as port-Hamiltonian systems on open graphs. The basic …

This thesis aims to provide a mathematical framework for the modeling and analysis of open
distributed parameter systems. From a mathematical point of view this thesis merges the …