A Lagrange subspace approach to dissipation inequalities
Optimization and Control
2022-03-28 v1
Abstract
The standard dissipation inequality for passivity is extended from storage functions to general Lagrange subspaces. This is shown to have some interesting consequences. A classical factorization result for passive systems is extended to this generalized case, making use of the newly defined concept of the Hamiltonian lift of a DAE system.
Keywords
Cite
@article{arxiv.2203.13527,
title = {A Lagrange subspace approach to dissipation inequalities},
author = {Arjan van der Schaft and Volker Mehrmann},
journal= {arXiv preprint arXiv:2203.13527},
year = {2022}
}
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6 pages