Open physical systems: From GENERIC to port-Hamiltonian systems

AM Badlyan, B Maschke, C Beattie… - arXiv preprint arXiv …, 2018 - arxiv.org
Formulations of open physical systems within the framework of Non-Equilibrium
Reversible/Irreversible Coupling (associated with the acronym" GENERIC") is related in this …

Dirac structures on Hilbert spaces and boundary control of distributed port-Hamiltonian systems

A Macchelli - Systems & Control Letters, 2014 - Elsevier
Aim of this paper is to show how the Dirac structure properties can be exploited in the
development of energy-based boundary control laws for distributed port-Hamiltonian …

Interconnection of Dirac structures via kernel/image representation

OV Iftime, A Sandovici - Proceedings of the 2011 American …, 2011 - ieeexplore.ieee.org
Dirac structures are used to mathematically formalize the power-conserving interconnection
structure of physical systems. For finite-dimensional systems several representations are …

[HTML][HTML] Self-adjointness and skew-adjointness criteria involving powers of linear relations

A Sandovici - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
The main objective of this paper is to provide range-type criteria for the self-adjointness of
symmetric linear relations and for the skew-adjointness of skew-symmetric linear relations in …

Banach Dirac bundles

M Anastasiei, A Sandovici - International Journal of Geometric …, 2013 - World Scientific
Banach Dirac bundles are introduced within the framework of infinite-dimensional Banach
manifolds and their basic properties are derived. Banach Lie algebroids are geometrical …

A kernel representation of Dirac structures for infinite-dimensional systems

OV Iftime, M Roman, A Sandovici - Mathematical Modelling of …, 2014 - cambridge.org
Dirac structures are used as the underlying structure to mathematically formalize port-
Hamiltonian systems. This note approaches the Dirac structures for infinite-dimensional …

On the use of Dirac structures on Hilbert spaces in the synthesis of boundary control laws for port-Hamiltonian systems

A Macchelli - 52nd IEEE Conference on Decision and Control, 2013 - ieeexplore.ieee.org
Aim of this paper is to show how the Dirac structure properties can be exploited in the
development of energy-based boundary control laws for distributed port-Hamiltonian …

Dirac structures on Hilbert spaces and boundary control of distributed port-Hamiltonian systems

A Macchelli - IFAC Proceedings Volumes, 2013 - Elsevier
The scope of this paper is to show how to exploit the properties of the Stokes–Dirac structure
in the development of energy-based boundary control laws for distributed port-Hamiltonian …

[PDF][PDF] Towards input/output-free modelling of linear infinite-dimensional systems in continuous time

M Kurula - 2010 - doria.fi
This dissertation describes a networking approach to infinite-dimensional systems theory,
where there is a minimal distinction between inputs and outputs. We introduce and study two …

Control by interconnection beyond the dissipation obstacle of finite and infinite dimensional port-Hamiltonian systems

A Macchelli - 2015 54th IEEE Conference on Decision and …, 2015 - ieeexplore.ieee.org
By exploiting the properties of the geometric structure of a port-Hamiltonian system, a
general methodology for the definition of a new control port that allows to solve the so-called …