@inproceedings{997cf1a94d92482a924176ad1218a27b,

title = "Port-Hamiltonian systems: an introductory survey",

abstract = "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 physical systems immediately lend themselves to a Hamiltonian description. While the usual geometric approach to Hamiltonian systems is based on the canonical symplectic structure of the phase space or on a Poisson structure that is obtained by (symmetry) reduction of the phase space, in the case of a port-Hamiltonian system the geometric structure derives from the interconnection of its sub-systems. This motivates to consider Dirac structures instead of Poisson structures, since this notion enables one to define Hamiltonian systems with algebraic constraints. As a result, any power-conserving interconnection of port-Hamiltonian systems again defines a port-Hamiltonian system. The port-Hamiltonian description offers a systematic framework for analysis, control and simulation of complex physical systems, for lumped-parameter as well as for distributed-parameter models.",

keywords = "MSC-70G45, MSC-70H05, MSC-70Q05, EWI-8632, METIS-237808, IR-66742, MSC-93A30",

author = "{van der Schaft}, Arjan",

year = "2006",

language = "Undefined",

isbn = "978-3-03719-022-7",

publisher = "European Mathematical Society Publishing House (EMS Ph)",

number = "suppl 2",

pages = "1339--1365",

editor = "M. Sanz-Sole and J. Soria and J.L. Varona and J. Verdera",

booktitle = "Proceedings of the International Congress of Mathematicians Vol. III",

note = "null ; Conference date: 22-08-2006 Through 30-08-2006",

}