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

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.

New version contains additional references and remarks

References in corpus (1)

• A Geometric Perspective on the Singular Value Decomposition

Cited by in corpus (3)

• Hypocoercivity and hypocontractivity concepts for linear dynamical systems
• The hypocoercivity index for the short time behavior of linear time-invariant ODE systems
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