<div class="csl-bib-body">
<div class="csl-entry">Achleitner, F., Arnold, A., & Carlen, E. (2023). The hypocoercivity index for the short time behavior of linear time-invariant ODE systems. <i>Journal of Differential Equations</i>, <i>371</i>, 83–115. https://doi.org/10.1016/j.jde.2023.06.027</div>
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dc.identifier.issn
0022-0396
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/189799
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dc.description.abstract
We consider the class of conservative-dissipative ODE systems, which is a subclass of Lyapunov stable, linear time-invariant ODE systems. We characterize asymptotically stable, conservative-dissipative ODE systems via the hypocoercivity (theory) of their system matrices. Our main result is a concise characterization of the hypocoercivity index (an algebraic structural property of matrices with positive semi-definite Hermitian part introduced in Achleitner, Arnold, and Carlen (2018)) in terms of the short time behavior of the norm of the matrix exponential for the associated conservative-dissipative ODE system.
en
dc.language.iso
en
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dc.publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
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dc.relation.ispartof
Journal of Differential Equations
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dc.subject
Hypocoercivity (index)
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dc.subject
Semi-dissipative ODE systems
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dc.title
The hypocoercivity index for the short time behavior of linear time-invariant ODE systems
