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Lyapunov-Schmidt Reduction of Differential-Algebraic Equation | ||
| Journal of Basrah Researches (Sciences) | ||
| Article 1, Volume 33, Issue 3, 2007, Pages 34-43 PDF (0 K) | ||
| Author | ||
| Kamal H. Yasir | ||
| Abstract | ||
| In this paper we investigate the asymptotic stability of an equilibrium solution of the differential algebraic equations (DAEs) effected by the Lyapunov-Schimdt reduction. The main conclusion of this paper is that, under the hypothesis , the stability or instability of an equilibrium solution (x0, y0, ) of the DAEs is determined by the sign of DyG where G is the reduced function obtained by the Laipunov-Schimdt reduction. | ||
| Keywords | ||
| Differential algebraic equations; asymptotic stability | ||
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