Geodesic
Studying the nonautonomous differential equations by methods of qualitative theory of control dynamical systems
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 143-150

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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.
Keywords: control dynamical system, comparison method, nonautonomous systems, singular points, singular trajectories. 
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     author = {N. N. Butenina and V. S. Metrikin},
     title = {Studying the nonautonomous differential equations by methods of qualitative theory of control dynamical systems},
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N. N. Butenina; V. S. Metrikin. Studying the nonautonomous differential equations by methods of qualitative theory of control dynamical systems. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 143-150. http://geodesic.mathdoc.fr/item/ND_2010_6_1_a8/