Stability of (Dissipative Hamiltonian) Differential-Algebraic Equations

Authors

Volker Mehrmann

Abstract

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.

Keywords

34D20; 37C75; 37J25; 93D05

Citation

• ISBN: 9783031713255
• Publisher: Springer Nature Switzerland
• DOI: 10.1007/978-3-031-71326-2_3

BibTeX

@inbook{Mehrmann_2024,
  title={{Stability of (Dissipative Hamiltonian) Differential-Algebraic Equations}},
  ISBN={9783031713262},
  ISSN={1617-9692},
  DOI={10.1007/978-3-031-71326-2_3},
  booktitle={{Recent Stability Issues for Linear Dynamical Systems}},
  publisher={Springer Nature Switzerland},
  author={Mehrmann, Volker},
  year={2024},
  pages={127--156}
}

Download the bib file

References

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