Stability of periodic solutions of index-2 differential algebraic systems
The authors study periodic index-2 differential algebraic equations (DAEs) of the form \(A(x,t)\dot x+b(x,t)=0\), and the question whether a periodic solution is stable in the sense of Lyapunov. As the main result, a stability criterion is proved. It sounds as nice as the well-known original model for regular ordinary differential equations (ODEs). This criterion is formulated in terms of the original data so that it may be used in practical computations, too.
scientific article; zbMATH DE number 1915764