Numerical Stability Criteria for Differential-Algebraic Systems. März, R. Technical Report Humboldt Universität Berlin, Berlin, 1994.
Numerical Stability Criteria for Differential-Algebraic Systems [link]Paper  abstract   bibtex   
In this paper we transfer classical results concerning Lyapunov stability of stationary solutions x to the classes of DAEs being most interesting for circuit simulation, thereby keeping smoothness as low as possible. We formulate all criteria in terms of the original equation. Those simple matrix criteria for checking regularity, Lyapunov stability etc. are easily realized numerically.
@TechReport{      Marz_1994aa,
  abstract      = {In this paper we transfer classical results concerning Lyapunov stability of stationary solutions x to the classes of DAEs being most interesting for circuit simulation, thereby keeping smoothness as low as possible. We formulate all criteria in terms of the original equation. Those simple matrix criteria for checking regularity, Lyapunov stability etc. are easily realized numerically.},
  address       = {Berlin},
  author        = {März, Roswitha},
  file          = {Marz_1994aa.pdf},
  institution   = {Humboldt Universität Berlin},
  keywords      = {dae},
  langid        = {english},
  title         = {Numerical Stability Criteria for Differential-Algebraic Systems},
  url           = {http://www.mathematik.hu-berlin.de/publ/pre/1994/p-list-94.html},
  year          = {1994}
}

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