Practical Lyapunov stability criteria for differential algebraic equations

• Autorzy: Roswitha März
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1994
• Tom: 29
• Numer: 1
• Strony: 245-266

Daty

wydano

1994

Twórcy

autor

Roswitha März

• Humboldt-Universität zu Berlin, Fachbereich Mathematik, Unter den Linden 6, 10099 Berlin, Germany

Bibliografia

• [1] L. O. Chua and A.-C. Deng, Impasse points. Part I: Numerical aspects, Internat. J. Circuit Theory Appl. 17 (1989), 213-235.
• [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.
• [3] E. Griepentrog and R. März, Differential-Algebraic Equations and Their Numerical Treatment, Teubner-Texte Math. 88, Leipzig 1986.
• [4] E. Griepentrog and R. März, Basic properties of some differential-algebraic equations, Z. Anal. Anwendungen 8 (1989), 25-40.
• [5] R. März, Index-2 differential-algebraic equations, Results in Math. 15 (1989), 149-171.
• [6] R. März, Some new results concerning index-3 differential-algebraic equations, J. Math. Anal. Appl. 140 (1989), 177-199.
• [7] R. März, On quasilinear index 2 differential algebraic equations, preprint 269, Fachbereich Mathematik, Humboldt-Univ. Berlin, 1990.
• [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.