Problems of control and stabilization of impulsive-control dynamic systems with application to nonholonomic mechanics. (English. Russian original) Zbl 1145.93008
Autom. Remote Control 68, No. 8, 1444-1458 (2007); translation from Avtom. Telemekh. 2007, No. 8, 163-179 (2007).
Summary: Consideration was given to the control systems using impulses as admissible actions. For impulses of different orders and degrees, these systems can be reduced to a form accepted in the current theory of impulsive systems. The problems of control and stabilization were formulated for the systems of such form. The nonholonomic mechanical systems were considered by way of example, and the controls stabilizing them in all or part of variables were constructed.
MSC:
| 93B05 | Controllability |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 70Q05 | Control of mechanical systems |
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