Consider the initial value problem
, where with . Assume that is asymptotically stable and denotes the domain of attraction of 0. The authors introduce several approaches for the determination of . In order to determine and approximate for an -analytical system, an -analytical function and the sequence of its Taylor polynomials are constructed by recurrence formula using the coefficients of the power series expansion of at 0.
This construction differs from that one of A. Vannelli and M. Vidyasagar [Automatica 21, 69–80 (1985; Zbl 0559.34052)].