Natal'ya Butenina
Gagarina av., 23, Nizhny Novgorod, 603950 Russia
Nizhny Novgorod State University
Publications:
|
Butenina N. N., Metrikin V. S.
Studying the nonautonomous differential equations by methods of qualitative theory of control dynamical systems
2010, Vol. 6, No. 1, pp. 143-150
Abstract
For nonautonomous systems of differential equations of second order which represent the family of control dynamical systems with given constraints on the control, we propose a method for constructing the borders of controllability and attainability. For this, we introduce the notions of singular points and singular trajectories, and study the structure of punctured neighborhood of a singular point. Some concrete examples of self interest are considered.
|