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math.DS2021★ 8 cited
The hypocoercivity index for the short time behavior of linear time-invariant ODE systems
Franz Achleitner, Anton Arnold, Eric A. Carlen
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, con…
math.CA2021★ 16 cited
Hypocoercivity and controllability in linear semi-dissipative Hamiltonian ODEs and DAEs
Franz Achleitner, Anton Arnold, Volker Mehrmann
For the classes of finite dimensional linear time-invariant semi-dissipative Hamiltonian ordinary differential equations and differential-algebraic equations, stability and hypocoe…