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arXiv · 2104.07619

Hypocoercivity and controllability in linear semi-dissipative Hamiltonian ODEs and DAEs

Franz Achleitner·Anton Arnold·Volker Mehrmann
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Abstract

For the classes of finite dimensional linear time-invariant semi-dissipative Hamiltonian ordinary differential equations and differential-algebraic equations, stability and hypocoercivity are discussed and related to concepts from control theory. On the basis of staircase forms the solution behavior is characterized and connected to the hypocoercivity index of these evolution equations. The results are applied to two infinite dimensional flow problems.

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Franz Achleitner, Anton Arnold, Volker Mehrmann. 2021-04-15. Hypocoercivity and controllability in linear semi-dissipative Hamiltonian ODEs and DAEs. https://doi.org/10.1002/zamm.202100171

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