We consider qualitative convergence, i.e. the convergence with specified qualitative characteristics, for analysis properties of iterative procedures. The estimations of the qualitative convergence are constructed with application methods, which are basic for the investigation problems of practical stability of dynamical systems. The analysis of the qualitative convergence of iterative procedures for non-differentiable problems of optimal control for bundle of trajectories was carried out based on theoretical approach.
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Garashchenko et al. (1999) studied this question.