<div class="csl-bib-body">
<div class="csl-entry">Achleitner, F., Arnold, A., & Mehrmann, V. (2023). Hypocoercivity and hypocontractivity concepts for linear dynamical systems. <i>ELECTRONIC JOURNAL OF LINEAR ALGEBRA</i>, <i>39</i>, 33–61. https://doi.org/10.13001/ela.2023.7531</div>
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dc.identifier.issn
1537-9582
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/189769
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dc.description.abstract
For linear dynamical systems (in continuous-time and discrete-time), we revisit and extend the concepts of hypocoercivity and hypocontractivity and give a detailed analysis of the relations of these concepts to (asymptotic) stability, as well as (semi-)dissipativity and (semi-)contractivity, respectively. On the basis of these results, the short-time behavior of the propagator norm for linear continuous-time and discrete-time systems is characterized by the (shifted) hypocoercivity index and the (scaled) hypocontractivity index, respectively.
en
dc.language.iso
en
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dc.publisher
INT LINEAR ALGEBRA SOC
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dc.relation.ispartof
ELECTRONIC JOURNAL OF LINEAR ALGEBRA
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dc.subject
Cayley transformation
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dc.subject
hypocoercivity (index)
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dc.subject
hypocontractivity (index)
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dc.subject
semi-contractive systems
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dc.subject
semi-dissipative Hamiltonian ODEs
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dc.title
Hypocoercivity and hypocontractivity concepts for linear dynamical systems
