Stability criteria for nonlinear fully implicit differential algebraic systems
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Number of Pages :191
The goal of this note is to contribute to the qualitative theory of
differential-algebraic 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 differential-algebraic
equations, Properly formulated DAEs with tractability index 2, The state space
form, Index reduction via differentiation, Stability criteria for
differential-algebraic systems, Asymptotic stability of periodic solutions,
Lyapunov’s direct method regarding DAEs.