Stability criteria for nonlinear fully implicit differential algebraic systems by Michael
Menrath
File Type :PDF Number of Pages :191
Description The goal of this note is to contribute to the qualitative theory of
differentialalgebraic systems by providing new asymptotic stability criteria
for a class of nonlinear, fully implicit DAEs with tractability index two.
Topics covered includes: State space analysis of differentialalgebraic
equations, Properly formulated DAEs with tractability index 2, The state space
form, Index reduction via differentiation, Stability criteria for
differentialalgebraic systems, Asymptotic stability of periodic solutions,
Lyapunov’s direct method regarding DAEs.
