Practical Lyapunov stability criteria for differential algebraic equations

Roswitha März

Banach Center Publications (1994)

  • Volume: 29, Issue: 1, page 245-266
  • ISSN: 0137-6934

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März, Roswitha. "Practical Lyapunov stability criteria for differential algebraic equations." Banach Center Publications 29.1 (1994): 245-266. <http://eudml.org/doc/262623>.

@article{März1994,
author = {März, Roswitha},
journal = {Banach Center Publications},
keywords = {quasilinear index 1 or index 2 differential algebraic equations; stability; solvability; index 3},
language = {eng},
number = {1},
pages = {245-266},
title = {Practical Lyapunov stability criteria for differential algebraic equations},
url = {http://eudml.org/doc/262623},
volume = {29},
year = {1994},
}

TY - JOUR
AU - März, Roswitha
TI - Practical Lyapunov stability criteria for differential algebraic equations
JO - Banach Center Publications
PY - 1994
VL - 29
IS - 1
SP - 245
EP - 266
LA - eng
KW - quasilinear index 1 or index 2 differential algebraic equations; stability; solvability; index 3
UR - http://eudml.org/doc/262623
ER -

References

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  1. [1] L. O. Chua and A.-C. Deng, Impasse points. Part I: Numerical aspects, Internat. J. Circuit Theory Appl. 17 (1989), 213-235. Zbl0676.94022
  2. [2] C. W. Gear and L. R. Petzold, ODE methods for the solution of differential/algebraic systems, SIAM J. Numer. Anal. 21 (1984), 716-728. Zbl0557.65053
  3. [3] E. Griepentrog and R. März, Differential-Algebraic Equations and Their Numerical Treatment, Teubner-Texte Math. 88, Leipzig 1986. Zbl0629.65080
  4. [4] E. Griepentrog and R. März, Basic properties of some differential-algebraic equations, Z. Anal. Anwendungen 8 (1989), 25-40. Zbl0666.34016
  5. [5] R. März, Index-2 differential-algebraic equations, Results in Math. 15 (1989), 149-171. Zbl0667.34014
  6. [6] R. März, Some new results concerning index-3 differential-algebraic equations, J. Math. Anal. Appl. 140 (1989), 177-199. Zbl0672.34006
  7. [7] R. März, On quasilinear index 2 differential algebraic equations, preprint 269, Fachbereich Mathematik, Humboldt-Univ. Berlin, 1990. 
  8. [8] P. J. Rabier and W. Rheinboldt, A general existence and uniqueness theory for implicit differential-algebraic equations, Differential Integral Equations 4 (1991), 563-582. Zbl0722.34004

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