Stability of (Dissipative Hamiltonian) Differential-Algebraic Equations

The stability theory for differential-algebraic equation (DAE) systems is discussed. Topics include stability, asymptotic, and exponential stability as well as the recent concept of hypocoercivity. As special model class then dissipative Hamiltonian differential-algebraic equations are studied, where it is shown that the analysis is significantly simpler due to the structure of the class.