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 …

Twenty years of distributed port-Hamiltonian systems: a literature review

R Rashad, F Califano, AJ van der Schaft… - IMA Journal of …, 2020 - academic.oup.com
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 …

Input-to-state stability of infinite-dimensional systems: recent results and open questions

A Mironchenko, C Prieur - SIAM Review, 2020 - SIAM
In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-
state stability (ISS) for infinite-dimensional systems. This property allows for the estimation of …

Control of port-Hamiltonian differential-algebraic systems and applications

V Mehrmann, B Unger - Acta Numerica, 2023 - cambridge.org
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 …

A reduced order model approach to inverse scattering in lossy layered media

L Borcea, V Druskin, J Zimmerling - Journal of Scientific Computing, 2021 - Springer
We introduce a reduced order model (ROM) methodology for inverse electromagnetic wave
scattering in layered lossy media, using data gathered by an antenna which generates a …

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 …

Positive operator semigroups

A Bátkai, MK Fijavž, A Rhandi - Operator Theory: advances and …, 2017 - Springer
This book is devoted to positive linear dynamical systems appearing frequently in
mathematical models of various real-life problems. Here we present an operator theoretic …

[책][B] Semigroup methods for evolution equations on networks

D Mugnolo - 2014 - Springer
In order to become worldly things, that is, deeds and facts and events and patterns of
thoughts or ideas,[action, speech, and thought] must first be seen, heard, and remembered …

Characterizations of input-to-state stability for infinite-dimensional systems

A Mironchenko, F Wirth - IEEE Transactions on Automatic …, 2017 - ieeexplore.ieee.org
We prove characterizations of input-to-state stability (ISS) for a large class of infinite-
dimensional control systems, including some classes of evolution equations over Banach …

Input-to-state stability

A Mironchenko - Input-to-State Stability: Theory and Applications, 2023 - Springer
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