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 …

[BOK][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 …

[BOK][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 …

Port-controlled Hamiltonian systems: modelling origins and systemtheoretic properties

BM Maschke, AJ van der Schaft - IFAC Proceedings Volumes, 1992 - Elsevier
It is shown that the network representation (as obtained through the generalized bond graph
formalism) of non-resistive physical systems in interaction with their environment leads to a …

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 …

[HTML][HTML] An overview on irreversible port-Hamiltonian systems

H Ramirez, Y Le Gorrec - Entropy, 2022 - mdpi.com
A comprehensive overview of the irreversible port-Hamiltonian system's formulation for finite
and infinite dimensional systems defined on 1D spatial domains is provided in a unified …

Linear port-Hamiltonian descriptor systems

C Beattie, V Mehrmann, H Xu, H Zwart - Mathematics of Control, Signals …, 2018 - Springer
The modeling framework of port-Hamiltonian systems is systematically extended to linear
constrained dynamical systems (descriptor systems, differential-algebraic equations) of …

Control by interconnection and standard passivity-based control of port-Hamiltonian systems

R Ortega, A Van Der Schaft… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
The dynamics of many physical processes can be suitably described by Port-Hamiltonian
(PH) models, where the importance of the energy function, the interconnection pattern and …

[BOK][B] Dissipative systems analysis and control: theory and applications

R Lozano, B Brogliato, O Egeland, B Maschke - 2013 - books.google.com
This book deals with the analysis and feedback control of dissipative dynamical systems. It
presents the background of dissipative systems theory. Linear as well as nonlinear systems …