Hypocoercivity and controllability in linear semi‐dissipative Hamiltonian ordinary differential equations and differential‐algebraic equations

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