Port-Hamiltonian systems theory: An introductory overview

A Van Der Schaft, D Jeltsema - Foundations and Trends® in …, 2014 - nowpublishers.com
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 …

[KNJIGA][B] L2-Gain and Passivity Techniques in Nonlinear Control

A Van der Schaft - 2000 - Springer
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 …

Port-Hamiltonian differential-algebraic systems

AJ van der Schaft - Surveys in Differential-Algebraic Equations I, 2013 - Springer
The basic starting point of port-Hamiltonian systems theory is network modeling; considering
the overall physical system as the interconnection of simple subsystems, mutually …

[KNJIGA][B] Modeling and control of complex physical systems: the port-Hamiltonian approach

V Duindam, A Macchelli, S Stramigioli, H Bruyninckx - 2009 - books.google.com
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 …

Dissipative systems analysis and control

B Brogliato, R Lozano, B Maschke, O Egeland - Theory and Applications, 2007 - Springer
Thank you for opening the third edition of this monograph, dedicated to dissipative linear or
nonlinear, autonomous or time-varying, smooth or nonsmooth, single-valued or set-valued …

Hamiltonian formulation of distributed-parameter systems with boundary energy flow

AJ van der Schaft, BM Maschke - Journal of Geometry and physics, 2002 - Elsevier
A Hamiltonian formulation of classes of distributed-parameter systems is presented, which
incorporates the energy flow through the boundary of the spatial domain of the system, and …

[KNJIGA][B] Momentum maps and Hamiltonian reduction

JP Ortega, TS Ratiu - 2013 - books.google.com
The use of the symmetries of a physical system in the study of its dynamics has a long
history that goes back to the founders of c1assical mechanics. Symmetry-based tech niques …

Dirac structures and boundary control systems associated with skew-symmetric differential operators

Y Le Gorrec, H Zwart, B Maschke - SIAM journal on control and optimization, 2005 - SIAM
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 …

Port-Hamiltonian systems: an introductory survey

A Van Der Schaft - Proceedings of the international congress of …, 2006 - ems.press
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 …

A Hamiltonian viewpoint in the modeling of switching power converters

G Escobar, AJ Van Der Schaft, R Ortega - Automatica, 1999 - Elsevier
In this paper we show how, using the Hamiltonian formalism, we can systematically derive
mathematical models that describe the behaviour of a large class of switching power …