Perturbed Stable Systems on a Plane. Part 1 / V. V. Aleksandrov, O. V. Aleksandrova, I. S. Konovalenko, and K. V. Tikhonova. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2016. № 5. P. 30-36 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 108-113].

The possibility of extending the concept of rough dynamical systems in the presence of a time-varying perturbation defined up to a functional set in the space of piecewise continuous functions is considered. The constructability of this extension is achieved by the construction of limit cycles giving an estimate of attainability sets for oscillatory systems.

Key words: perturbed stable system, robust stability, attractor, limit cycle.

№ 5/2016